201
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Das B, Bisht NS, Vinu RV, Singh RK. Lensless complex amplitude image retrieval through a visually opaque scattering medium. APPLIED OPTICS 2017; 56:4591-4597. [PMID: 29047587 DOI: 10.1364/ao.56.004591] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/07/2017] [Accepted: 05/02/2017] [Indexed: 06/07/2023]
Abstract
We propose and experimentally demonstrate lensless complex amplitude image retrieval through a visually opaque scattering medium from spatially fluctuating fields using intensity measurement and a phase-retrieval algorithm. The complex amplitude information of the hidden object is encoded in the form of a real and nonnegative amplitude function represented as an interference pattern. A single charge coupled device (CCD) image of the scattered light collected through a visually opaque optical diffuser contains enough information to digitally regenerate the interference pattern. Furthermore, a lensless configuration is implemented which eliminates any possible aberration effects associated with optical components, and this further has promising applications where the use of imaging optics is not feasible. Experimental results for the recovery of complex fields corresponding to optical vortices of two different topological charges are presented.
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202
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Horisaki R, Takagi R, Tanida J. Learning-based focusing through scattering media. APPLIED OPTICS 2017; 56:4358-4362. [PMID: 29047862 DOI: 10.1364/ao.56.004358] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We present a machine-learning-based method for light focusing through scattering media. In this method, the optical process in a scattering medium is computationally inverted based on a nonlinear regression algorithm with a number of training input-output pairs through the medium, and an input optimized for a target output is calculated. We experimentally demonstrate focusing via a process involving randomness due to a scattering medium and nonlinearity due to double modulation with a spatial light modulator. Our approach realizes model-free control of optical fields, where optical processes or models are unknown.
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203
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Qiao Y, Peng Y, Zheng Y, Ye F, Chen X. Second-harmonic focusing by a nonlinear turbid medium via feedback-based wavefront shaping. OPTICS LETTERS 2017; 42:1895-1898. [PMID: 28504753 DOI: 10.1364/ol.42.001895] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Scattering has usually been considered detrimental for optical focusing or imaging. Recently, more and more research has shown that strongly scattering materials can be utilized to focus coherent light by controlling or shaping the incident light. Here, purposeful focusing of second-harmonic waves, which are generated and scattered from nonlinear turbid media via feedback-based wavefront shaping, is presented. This Letter shows a flexible manipulation of both disordered linear and nonlinear scattering signals, indicating more controllable degrees of freedom for the description of turbid media. This technique also provides a possible way to an efficient transmission of nonlinear signal at a desired location in the form of a focal point or other patterns. With the combination of random nonlinear optics and wavefront shaping methods, more interesting applications can be expected in the future, such as nonlinear transmission matrix, multi-frequency imaging, and phase-matching-free nonlinear optics.
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204
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Wu P, Liang Z, Zhao X, Su L, Song L. Lensless wide-field single-shot imaging through turbid media based on object-modulated speckles. APPLIED OPTICS 2017; 56:3335-3341. [PMID: 28430254 DOI: 10.1364/ao.56.003335] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
The need to image objects through light-scattering materials is common in a range of applications. Different methods have been investigated to acquire the image of the object when diffusers are presented. In this paper, we demonstrate the object reconstruction with single-shot imaging based on the correlography principle and phase retrieval algorithm with coherent illumination. We prove the possibility of reconstructing positive and negative objects in both transmission and reflection modes with collimated and scattered light. Formulas for calculating the size of the object from the reconstructed image are presented. We also prove that the object can be retrieved from a small section of the raw speckle image. These interesting features will have broad potential applications in many areas (such as biomedicine, security and sensing).
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205
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Yu H, Lee K, Park Y. Ultrahigh enhancement of light focusing through disordered media controlled by mega-pixel modes. OPTICS EXPRESS 2017; 25:8036-8047. [PMID: 28380926 DOI: 10.1364/oe.25.008036] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/14/2023]
Abstract
We propose and demonstrate a system for wavefront shaping, which generates optical foci through complex disordered media and achieves an enhancement factor of greater than 100,000. To exploit the 1 megapixel capacity of a digital micro-mirror device and its fast frame rate, we developed a fast and efficient method to handle the heavy matrix algebra computation involved in optimizing the focus. We achieved an average enhancement factor of 101,391 within an optimization time of 73 minutes with amplitude control. This unprecedented enhancement factor may open new possibilities for realistic image projection and the efficient delivery of energy through scattering media.
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206
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Adaptive optical fluorescence microscopy. Nat Methods 2017; 14:374-380. [DOI: 10.1038/nmeth.4218] [Citation(s) in RCA: 295] [Impact Index Per Article: 42.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2016] [Accepted: 02/06/2017] [Indexed: 12/24/2022]
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207
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Jang M, Yang C, Vellekoop I. Optical Phase Conjugation with Less Than a Photon per Degree of Freedom. PHYSICAL REVIEW LETTERS 2017; 118:093902. [PMID: 28306287 PMCID: PMC5508849 DOI: 10.1103/physrevlett.118.093902] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/05/2016] [Indexed: 05/19/2023]
Abstract
We demonstrate experimentally that optical phase conjugation can be used to focus light through strongly scattering media even when far less than a photon per optical degree of freedom is detected. We found that the best achievable intensity contrast is equal to the total number of detected photons, as long as the resolution of the system is high enough. Our results demonstrate that phase conjugation can be used even when the photon budget is extremely low, such as in high-speed focusing through dynamic media or imaging deep inside tissue.
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Affiliation(s)
- M. Jang
- Electrical Engineering, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, USA
| | - C. Yang
- Electrical Engineering, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, USA
| | - I.M. Vellekoop
- Biomedical Photonic Imaging Group, MIRA Institute for Biomedical Technology and Technical Medicine, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands
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208
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Liu Y, Ma C, Shen Y, Shi J, Wang LV. Focusing light inside dynamic scattering media with millisecond digital optical phase conjugation. OPTICA 2017; 4:280-288. [PMID: 28815194 PMCID: PMC5555171 DOI: 10.1364/optica.4.000280] [Citation(s) in RCA: 67] [Impact Index Per Article: 9.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Wavefront shaping based on digital optical phase conjugation (DOPC) focuses light through or inside scattering media, but the low speed of DOPC prevents it from being applied to thick, living biological tissue. Although a fast DOPC approach was recently developed, the reported single-shot wavefront measurement method does not work when the goal is to focus light inside, instead of through, highly scattering media. Here, using a ferroelectric liquid crystal based spatial light modulator, we develop a simpler but faster DOPC system that focuses light not only through, but also inside scattering media. By controlling 2.6 × 105 optical degrees of freedom, our system focused light through 3 mm thick moving chicken tissue, with a system latency of 3.0 ms. Using ultrasound-guided DOPC, along with a binary wavefront measurement method, our system focused light inside a scattering medium comprising moving tissue with a latency of 6.0 ms, which is one to two orders of magnitude shorter than those of previous digital wavefront shaping systems. Since the demonstrated speed approaches tissue decorrelation rates, this work is an important step toward in vivo deep-tissue non-invasive optical imaging, manipulation, and therapy.
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Affiliation(s)
- Yan Liu
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130, USA
| | - Cheng Ma
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130, USA
| | - Yuecheng Shen
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130, USA
| | - Junhui Shi
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130, USA
| | - Lihong V. Wang
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri 63130, USA
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209
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Park J, Park C, Lee K, Cho YH, Park Y. Time-reversing a monochromatic subwavelength optical focus by optical phase conjugation of multiply-scattered light. Sci Rep 2017; 7:41384. [PMID: 28134267 PMCID: PMC5278350 DOI: 10.1038/srep41384] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/15/2016] [Accepted: 12/19/2016] [Indexed: 11/10/2022] Open
Abstract
Due to its time-reversal nature, optical phase conjugation generates a monochromatic light wave which retraces its propagation paths. Here, we demonstrate the regeneration of a subwavelength optical focus by phase conjugation. Monochromatic light from a subwavelength source is scattered by random nanoparticles, and the scattered light is phase conjugated at the far-field region by coupling its wavefront into a single-mode optical reflector using a spatial light modulator. Then the conjugated beam retraces its propagation paths and forms a refocus on the source at the subwavelength scale. This is the first direct experimental realisation of subwavelength focusing beyond the diffraction limit with far-field time reversal in the optical domain.
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Affiliation(s)
- Jongchan Park
- Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
- KAIST Institute for Health Science and Technology, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
| | - Chunghyun Park
- Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
- KAIST Institute for the NanoCentury, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
| | - KyeoReh Lee
- Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
- KAIST Institute for Health Science and Technology, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
| | - Yong-Hoon Cho
- Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
- KAIST Institute for the NanoCentury, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
| | - YongKeun Park
- Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
- KAIST Institute for Health Science and Technology, Korea Advanced Institute of Science and Technology, Daejeon 34141, Republic of Korea
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210
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Gateau J, Rigneault H, Guillon M. Complementary Speckle Patterns: Deterministic Interchange of Intrinsic Vortices and Maxima through Scattering Media. PHYSICAL REVIEW LETTERS 2017; 118:043903. [PMID: 28186813 DOI: 10.1103/physrevlett.118.043903] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/22/2016] [Indexed: 06/06/2023]
Abstract
Intensity maxima and zeros of speckle patterns obtained behind a diffuser are experimentally interchanged by applying a spiral phase delay of charge ±1 to the impinging coherent beam. This transform arises from the expectation that tightly focused beams, which have a planar wave front around the focus, are so changed into vortex beams and vice versa. The statistics of extrema locations and the intensity distribution of the so-generated "complementary" patterns are characterized by numerical simulations. It is demonstrated experimentally that the incoherent superposition of the three "complementary speckle patterns" yield a synthetic speckle grain size enlarged by a factor of sqrt[3]. A cyclic permutation of optical vortices and intensity maxima is unexpectedly observed and discussed.
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Affiliation(s)
- Jérôme Gateau
- Holographic Microscopy Group, Neurophotonics Laboratory, CNRS UMR 8250, Paris Descartes University, Sorbonne Paris Cité, 75006 Paris, France
| | - Hervé Rigneault
- Aix-Marseille University, CNRS, Centrale Marseille, Institut Fresnel UMR 7249, 13013 Marseille, France
| | - Marc Guillon
- Wavefront Engineering Microscopy Group, Neurophotonics Laboratory, CNRS UMR 8250, Paris Descartes University, Sorbonne Paris Cité, 75006 Paris, France
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211
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Shen Y, Liu Y, Ma C, Wang LV. Sub-Nyquist sampling boosts targeted light transport through opaque scattering media. OPTICA 2017; 4:97-102. [PMID: 28670607 PMCID: PMC5493046 DOI: 10.1364/optica.4.000097] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/06/2023]
Abstract
Optical time-reversal techniques are being actively developed to focus light through or inside opaque scattering media. When applied to biological tissue, these techniques promise to revolutionize biophotonics by enabling deep-tissue non-invasive optical imaging, optogenetics, optical tweezing, and phototherapy. In all previous optical time-reversal experiments, the scattered light field was well-sampled during wavefront measurement and wavefront reconstruction, following the Nyquist sampling criterion. Here, we overturn this conventional practice by demonstrating that even when the scattered field is under-sampled, light can still be focused through or inside scattering media. Even more surprisingly, we show both theoretically and experimentally that the focus achieved by under-sampling can be one order of magnitude brighter than that achieved under the well-sampling conditions used in previous works, where 3×3 to 5×5 pixels were used to sample one speckle grain on average. Moreover, sub-Nyquist sampling improves the signal-to-noise ratio and the collection efficiency of the scattered light. We anticipate that this newly explored under-sampling scheme will transform the understanding of optical time reversal and boost the performance of optical imaging, manipulation, and communication through opaque scattering media.
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Affiliation(s)
- Yuecheng Shen
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri, USA, 63130
| | - Yan Liu
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri, USA, 63130
| | - Cheng Ma
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri, USA, 63130
| | - Lihong V Wang
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, One Brookings Drive, St. Louis, Missouri, USA, 63130
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212
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213
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Xu L, Zhang J, Zhao H, Xu C. Controllable photoinduced scattering and optimized light emission intensity in Nd3+ doped (Pb,La)(Zr,Ti)O3 perovskite ceramics. RSC Adv 2017. [DOI: 10.1039/c7ra07597a] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Controllable photoinduced scatterers were investigated in Nd3+-doped lead lanthanum zirconate titanate (PLZT) perovskite ceramics, the total number of which will increase dramatically with the induction of light intensity.
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Affiliation(s)
- Long Xu
- School of Physical Science and Technology
- Southwest University
- Chongqing
- China
- Institute of Modern Optics
| | - Jingwen Zhang
- Institute of Modern Optics
- Department of Physics
- Harbin Institute of Technology
- Harbin
- China
| | - Hua Zhao
- Institute of Modern Optics
- Department of Physics
- Harbin Institute of Technology
- Harbin
- China
| | - Caixia Xu
- School of Primary Education
- Chongqing Normal University
- Chongqing
- China
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214
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Dai B, Wang J, Xiong Z, Zhan X, Dai W, Li CC, Feng SP, Tang J. Programmable artificial phototactic microswimmer. NATURE NANOTECHNOLOGY 2016; 11:1087-1092. [PMID: 27749832 DOI: 10.1038/nnano.2016.187] [Citation(s) in RCA: 288] [Impact Index Per Article: 36.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2015] [Accepted: 08/24/2016] [Indexed: 05/26/2023]
Abstract
Phototaxis is commonly observed in motile photosynthetic microorganisms. For example, green algae are capable of swimming towards a light source (positive phototaxis) to receive more energy for photosynthesis, or away from a light source (negative phototaxis) to avoid radiation damage or to hide from predators. Recently, with the aim of applying nanoscale machinery to biomedical applications, various inorganic nanomotors based on different propulsion mechanisms have been demonstrated. The only method to control the direction of motion of these self-propelled micro/nanomotors is to incorporate a ferromagnetic material into their structure and use an external magnetic field for steering. Here, we show an artificial microswimmer that can sense and orient to the illumination direction of an external light source. Our microswimmer is a Janus nanotree containing a nanostructured photocathode and photoanode at opposite ends that release cations and anions, respectively, propelling the microswimmer by self-electrophoresis. Using chemical modifications, we can control the zeta potential of the photoanode and program the microswimmer to exhibit either positive or negative phototaxis. Finally, we show that a school of microswimmers mimics the collective phototactic behaviour of green algae in solution.
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Affiliation(s)
- Baohu Dai
- Department of Chemistry, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Jizhuang Wang
- Department of Chemistry, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Ze Xiong
- Department of Chemistry, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Xiaojun Zhan
- Department of Chemistry, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Wei Dai
- Department of Chemistry, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Chien-Cheng Li
- Department of Mechanical Engineering, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Shien-Ping Feng
- Department of Mechanical Engineering, The University of Hong Kong, Pokfulam 999077, Hong Kong
| | - Jinyao Tang
- Department of Chemistry, The University of Hong Kong, Pokfulam 999077, Hong Kong
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215
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Cheng B, Bandi V, Wei MY, Pei Y, D’Souza F, Nguyen KT, Hong Y, Yuan B. High-Resolution Ultrasound-Switchable Fluorescence Imaging in Centimeter-Deep Tissue Phantoms with High Signal-To-Noise Ratio and High Sensitivity via Novel Contrast Agents. PLoS One 2016; 11:e0165963. [PMID: 27829050 PMCID: PMC5102469 DOI: 10.1371/journal.pone.0165963] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/10/2016] [Accepted: 10/20/2016] [Indexed: 01/19/2023] Open
Abstract
For many years, investigators have sought after high-resolution fluorescence imaging in centimeter-deep tissue because many interesting in vivo phenomena—such as the presence of immune system cells, tumor angiogenesis, and metastasis—may be located deep in tissue. Previously, we developed a new imaging technique to achieve high spatial resolution in sub-centimeter deep tissue phantoms named continuous-wave ultrasound-switchable fluorescence (CW-USF). The principle is to use a focused ultrasound wave to externally and locally switch on and off the fluorophore emission from a small volume (close to ultrasound focal volume). By making improvements in three aspects of this technique: excellent near-infrared USF contrast agents, a sensitive frequency-domain USF imaging system, and an effective signal processing algorithm, for the first time this study has achieved high spatial resolution (~ 900 μm) in 3-centimeter-deep tissue phantoms with high signal-to-noise ratio (SNR) and high sensitivity (3.4 picomoles of fluorophore in a volume of 68 nanoliters can be detected). We have achieved these results in both tissue-mimic phantoms and porcine muscle tissues. We have also demonstrated multi-color USF to image and distinguish two fluorophores with different wavelengths, which might be very useful for simultaneously imaging of multiple targets and observing their interactions in the future. This work has opened the door for future studies of high-resolution centimeter-deep tissue fluorescence imaging.
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Affiliation(s)
- Bingbing Cheng
- Ultrasound and Optical Imaging Laboratory, Department of Bioengineering, University of Texas at Arlington, Arlington, Texas, 76010, United States of America
- Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, Texas, 75235, United States of America
| | - Venugopal Bandi
- Department of Chemistry, University of North Texas, 1155, Union Circle, #305070, Denton, Texas, 76203, United States of America
| | - Ming-Yuan Wei
- Ultrasound and Optical Imaging Laboratory, Department of Bioengineering, University of Texas at Arlington, Arlington, Texas, 76010, United States of America
- Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, Texas, 75235, United States of America
| | - Yanbo Pei
- Ultrasound and Optical Imaging Laboratory, Department of Bioengineering, University of Texas at Arlington, Arlington, Texas, 76010, United States of America
- Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, Texas, 75235, United States of America
| | - Francis D’Souza
- Department of Chemistry, University of North Texas, 1155, Union Circle, #305070, Denton, Texas, 76203, United States of America
| | - Kytai T. Nguyen
- Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, Texas, 75235, United States of America
- Department of Bioengineering, University of Texas at Arlington, Arlington, Texas, 76010, United States of America
| | - Yi Hong
- Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, Texas, 75235, United States of America
- Department of Bioengineering, University of Texas at Arlington, Arlington, Texas, 76010, United States of America
| | - Baohong Yuan
- Ultrasound and Optical Imaging Laboratory, Department of Bioengineering, University of Texas at Arlington, Arlington, Texas, 76010, United States of America
- Joint Biomedical Engineering Program, University of Texas at Arlington and University of Texas Southwestern Medical Center at Dallas, Dallas, Texas, 75235, United States of America
- * E-mail:
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216
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Wu T, Katz O, Shao X, Gigan S. Single-shot diffraction-limited imaging through scattering layers via bispectrum analysis. OPTICS LETTERS 2016; 41:5003-5006. [PMID: 27805670 DOI: 10.1364/ol.41.005003] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Recently introduced speckle correlations-based techniques enable noninvasive imaging of objects hidden behind scattering layers. In these techniques, the hidden object Fourier amplitude is retrieved from the scattered light autocorrelation, and the lost Fourier phase is recovered via iterative phase-retrieval algorithms, which suffer from convergence to wrong local minimums solutions and cannot solve ambiguities in object orientation. Here, inspired by notions used in astronomy, we experimentally demonstrate that in addition to Fourier amplitude, the object-phase information is naturally and inherently encoded in the scattered light bispectrum (the Fourier transform of triple correlation) and can also be extracted from a single high-resolution speckle pattern, based on which we present a single-shot imaging scheme to deterministically and unambiguously retrieve diffraction-limited images of objects hidden behind scattering layers.
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217
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Zhou EH, Shibukawa A, Brake J, Ruan H, Yang C. Glare suppression by coherence gated negation. OPTICA 2016; 3:1107-1113. [PMID: 28713849 PMCID: PMC5509221 DOI: 10.1364/optica.3.001107] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Imaging of a weak target hidden behind a scattering medium can be significantly confounded by glare. We report a method, termed coherence gated negation (CGN), that uses destructive optical interference to suppress glare and allow improved imaging of a weak target. As a demonstration, we show that by permuting through a set range of amplitude and phase values for a reference beam interfering with the optical field from the glare and target reflection, we can suppress glare by an order of magnitude, even when the optical wavefront is highly disordered. This strategy significantly departs from conventional coherence gating methods in that CGN actively "gates out" the unwanted optical contributions while conventional methods "gate in" the target optical signal. We further show that the CGN method can outperform conventional coherence gating image quality in certain scenarios by more effectively rejecting unwanted optical contributions.
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218
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Satat G, Heshmat B, Raviv D, Raskar R. All Photons Imaging Through Volumetric Scattering. Sci Rep 2016; 6:33946. [PMID: 27683065 PMCID: PMC5041145 DOI: 10.1038/srep33946] [Citation(s) in RCA: 51] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/04/2016] [Accepted: 09/02/2016] [Indexed: 01/11/2023] Open
Abstract
Imaging through thick highly scattering media (sample thickness ≫ mean free path) can realize broad applications in biomedical and industrial imaging as well as remote sensing. Here we propose a computational "All Photons Imaging" (API) framework that utilizes time-resolved measurement for imaging through thick volumetric scattering by using both early arrived (non-scattered) and diffused photons. As opposed to other methods which aim to lock on specific photons (coherent, ballistic, acoustically modulated, etc.), this framework aims to use all of the optical signal. Compared to conventional early photon measurements for imaging through a 15 mm tissue phantom, our method shows a two fold improvement in spatial resolution (4db increase in Peak SNR). This all optical, calibration-free framework enables widefield imaging through thick turbid media, and opens new avenues in non-invasive testing, analysis, and diagnosis.
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Affiliation(s)
- Guy Satat
- Media Lab, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Barmak Heshmat
- Media Lab, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Dan Raviv
- Media Lab, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Ramesh Raskar
- Media Lab, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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219
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Koukourakis N, Fregin B, König J, Büttner L, Czarske JW. Wavefront shaping for imaging-based flow velocity measurements through distortions using a Fresnel guide star. OPTICS EXPRESS 2016; 24:22074-87. [PMID: 27661942 DOI: 10.1364/oe.24.022074] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
Imaging-based flow measurement techniques, like particle image velocimetry (PIV), are vulnerable to time-varying distortions like refractive index inhomogeneities or fluctuating phase boundaries. Such distortions strongly increase the velocity error, as the position assignment of the tracer particles and the decrease of image contrast exhibit significant uncertainties. We demonstrate that wavefront shaping based on spatially distributed guide stars has the potential to significantly reduce the measurement uncertainty. Proof of concept experiments show an improvement by more than one order of magnitude. Possible applications for the wavefront shaping PIV range from measurements in jets and film flows to biomedical applications.
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220
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Memory-effect based deconvolution microscopy for super-resolution imaging through scattering media. Sci Rep 2016; 6:33558. [PMID: 27633483 PMCID: PMC5025711 DOI: 10.1038/srep33558] [Citation(s) in RCA: 74] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/26/2016] [Accepted: 08/30/2016] [Indexed: 11/08/2022] Open
Abstract
High-resolution imaging through turbid media is a fundamental challenge of optical sciences that has attracted a lot of attention in recent years for its wide range of potential applications. Here, we demonstrate that the resolution of imaging systems looking behind a highly scattering medium can be improved below the diffraction-limit. To achieve this, we demonstrate a novel microscopy technique enabled by the optical memory effect that uses a deconvolution image processing and thus it does not require iterative focusing, scanning or phase retrieval procedures. We show that this newly established ability of direct imaging through turbid media provides fundamental and practical advantages such as three-dimensional refocusing and unambiguous object reconstruction.
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221
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High speed color imaging through scattering media with a large field of view. Sci Rep 2016; 6:32696. [PMID: 27599398 PMCID: PMC5013408 DOI: 10.1038/srep32696] [Citation(s) in RCA: 57] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/18/2016] [Accepted: 08/15/2016] [Indexed: 11/08/2022] Open
Abstract
Optical imaging through complex media has many important applications. Although research progresses have been made to recover optical image through various turbid media, the widespread application of the technology is hampered by the recovery speed, requirement on specific illumination, poor image quality and limited field of view. Here we demonstrate that above-mentioned drawbacks can be essentially overcome. The realization of high speed color imaging through turbid media is successfully carried out by taking into account the media memory effect, the point spread function, the exit pupil of the optical system, and the optimized signal to noise ratio. By retrieving selected speckles with enlarged field of view, high quality image is recovered with a responding speed only determined by the frame rates of the image capturing devices. The immediate application of the technique is expected to register static and dynamic imaging under human skin to recover information with a wearable device.
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222
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Cho YK, Zheng G, Augustine GJ, Hochbaum D, Cohen A, Knöpfel T, Pisanello F, Pavone FS, Vellekoop IM, Booth MJ, Hu S, Zhu J, Chen Z, Hoshi Y. Roadmap on neurophotonics. JOURNAL OF OPTICS (2010) 2016; 18:093007. [PMID: 28386392 PMCID: PMC5378317 DOI: 10.1088/2040-8978/18/9/093007] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/15/2023]
Abstract
Mechanistic understanding of how the brain gives rise to complex behavioral and cognitive functions is one of science's grand challenges. The technical challenges that we face as we attempt to gain a systems-level understanding of the brain are manifold. The brain's structural complexity requires us to push the limit of imaging resolution and depth, while being able to cover large areas, resulting in enormous data acquisition and processing needs. Furthermore, it is necessary to detect functional activities and 'map' them onto the structural features. The functional activity occurs at multiple levels, using electrical and chemical signals. Certain electrical signals are only decipherable with sub-millisecond timescale resolution, while other modes of signals occur in minutes to hours. For these reasons, there is a wide consensus that new tools are necessary to undertake this daunting task. Optical techniques, due to their versatile and scalable nature, have great potentials to answer these challenges. Optical microscopy can now image beyond the diffraction limit, record multiple types of brain activity, and trace structural features across large areas of tissue. Genetically encoded molecular tools opened doors to controlling and detecting neural activity using light in specific cell types within the intact brain. Novel sample preparation methods that reduce light scattering have been developed, allowing whole brain imaging in rodent models. Adaptive optical methods have the potential to resolve images from deep brain regions. In this roadmap article, we showcase a few major advances in this area, survey the current challenges, and identify potential future needs that may be used as a guideline for the next steps to be taken.
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Affiliation(s)
- Yong Ku Cho
- Department of Chemical and Biomolecular Engineering, Institute for Systems Genomics, University of Connecticut, 191 Auditorium Rd, Storrs, CT 06269-3222, USA
| | - Guoan Zheng
- Department of Biomedical Engineering, University of Connecticut, Storrs, CT 06269, USA
| | - George J Augustine
- Lee Kong Chian School of Medicine, Nanyang Technological University, 50 Nanyang Drive, Research Techno Plaza, Singapore 637553, Singapore
| | - Daniel Hochbaum
- Departments of Chemistry and Chemical Biology and Physics, Harvard Stem Cell Institute, Harvard University, Cambridge, MA 02138, USA
| | - Adam Cohen
- Departments of Chemistry and Chemical Biology and Physics, Harvard Stem Cell Institute, Harvard University, Cambridge, MA 02138, USA; Howard Hughes Medical Institute, Harvard University, 12 Oxford Street, Cambridge, MA 02138, USA
| | - Thomas Knöpfel
- Division of Brain Sciences, Department of Medicine, Imperial College London, London W12 0NN, UK
| | - Ferruccio Pisanello
- Istituto Italiano di Tecnologia (IIT), Center for Biomolecular Nanotechnologies, Via Barsanti sn, I-73010 Arnesano (Lecce), Italy
| | - Francesco S Pavone
- European Laboratory for Non Linear Spectroscopy, University of Florence, Via N. Carrara 1, I-50019 Sesto Fiorentino (FI), Italy; Department of Physics, University of Florence, Via G. Sansone 1, I-50019 Sesto Fiorentino, Italy; Istituto Nazionale di Ottica, L.go E. fermi 2, I-50100 Firenze, Italy
| | - Ivo M Vellekoop
- Biomedical Photonic Imaging group, MIRA Institute for Biomedical Technology and Technical Medicine, University of Twente, PO Box 217, 7500 AE Enschede, The Netherlands
| | - Martin J Booth
- Centre for Neural Circuits and Behaviour, University of Oxford, Mansfield Road, Oxford OX1 3SR, UK; Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK
| | - Song Hu
- Department of Biomedical Engineering, University of Virginia, 415 Lane Road, Charlottesville, VA 22908, USA
| | - Jiang Zhu
- Beckman Laser Institute, University of California, Irvine, 1002 Health Sciences Road East, Irvine, CA 92617, USA
| | - Zhongping Chen
- Beckman Laser Institute, University of California, Irvine, 1002 Health Sciences Road East, Irvine, CA 92617, USA
| | - Yoko Hoshi
- Department of Biomedical Optics, Institute for Medical Photonics Research, Preeminent Medical Photonics Education & Research Center, Hamamatsu University School of Medicine, 1-20-1 Handayama, Higashi-ku, Hamamatsu 431-3192, Japan
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223
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Wang LV, Yao J. A practical guide to photoacoustic tomography in the life sciences. Nat Methods 2016; 13:627-38. [PMID: 27467726 PMCID: PMC4980387 DOI: 10.1038/nmeth.3925] [Citation(s) in RCA: 709] [Impact Index Per Article: 88.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/01/2016] [Accepted: 06/20/2016] [Indexed: 12/21/2022]
Abstract
The life sciences can benefit greatly from imaging technologies that connect microscopic discoveries with macroscopic observations. One technology uniquely positioned to provide such benefits is photoacoustic tomography (PAT), a sensitive modality for imaging optical absorption contrast over a range of spatial scales at high speed. In PAT, endogenous contrast reveals a tissue's anatomical, functional, metabolic, and histologic properties, and exogenous contrast provides molecular and cellular specificity. The spatial scale of PAT covers organelles, cells, tissues, organs, and small animals. Consequently, PAT is complementary to other imaging modalities in contrast mechanism, penetration, spatial resolution, and temporal resolution. We review the fundamentals of PAT and provide practical guidelines for matching PAT systems with research needs. We also summarize the most promising biomedical applications of PAT, discuss related challenges, and envision PAT's potential to lead to further breakthroughs.
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Affiliation(s)
- Lihong V. Wang
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, St. Louis, MO, USA
| | - Junjie Yao
- Optical Imaging Laboratory, Department of Biomedical Engineering, Washington University in St. Louis, St. Louis, MO, USA
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224
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Horisaki R, Takagi R, Tanida J. Learning-based imaging through scattering media. OPTICS EXPRESS 2016; 24:13738-13743. [PMID: 27410537 DOI: 10.1364/oe.24.013738] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
We present a machine-learning-based method for single-shot imaging through scattering media. The inverse scattering process was calculated based on a nonlinear regression algorithm by learning a number of training object-speckle pairs. In the experimental demonstration, multilayer phase objects between scattering plates were reconstructed from intensity measurements. Our approach enables model-free sensing, where it is not necessary to know the sensing processes/models.
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225
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Jang C, Clark DC, Kim J, Lee B, Kim MK. Signal enhanced holographic fluorescence microscopy with guide-star reconstruction. BIOMEDICAL OPTICS EXPRESS 2016; 7:1271-83. [PMID: 27446653 PMCID: PMC4929639 DOI: 10.1364/boe.7.001271] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/04/2016] [Revised: 03/03/2016] [Accepted: 03/03/2016] [Indexed: 05/23/2023]
Abstract
We propose a signal enhanced guide-star reconstruction method for holographic fluorescence microscopy. In the late 00's, incoherent digital holography started to be vigorously studied by several groups to overcome the limitations of conventional digital holography. The basic concept of incoherent digital holography is to acquire the complex hologram from incoherent light by utilizing temporal coherency of a spatially incoherent light source. The advent of incoherent digital holography opened new possibility of holographic fluorescence microscopy (HFM), which was difficult to achieve with conventional digital holography. However there has been an important issue of low and noisy signal in HFM which slows down the system speed and degrades the imaging quality. When guide-star reconstruction is adopted, the image reconstruction gives an improved result compared to the conventional propagation reconstruction method. The guide-star reconstruction method gives higher imaging signal-to-noise ratio since the acquired complex point spread function provides optimal system-adaptive information and can restore the signal buried in the noise more efficiently. We present theoretical explanation and simulation as well as experimental results.
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Affiliation(s)
- Changwon Jang
- School of Electrical and Computer Engineering, Seoul National University, Gwanak-Gu Gwanakro 1, Seoul 08826, South Korea
| | - David C. Clark
- Department of Physics, University of South Florida, ISAA6218, 4202 East Fowler Avenue, Tampa, Florida 33620, USA
| | - Jonghyun Kim
- School of Electrical and Computer Engineering, Seoul National University, Gwanak-Gu Gwanakro 1, Seoul 08826, South Korea
| | - Byoungho Lee
- School of Electrical and Computer Engineering, Seoul National University, Gwanak-Gu Gwanakro 1, Seoul 08826, South Korea
| | - Myung K. Kim
- Department of Physics, University of South Florida, ISAA6218, 4202 East Fowler Avenue, Tampa, Florida 33620, USA
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226
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Bossy E, Gigan S. Photoacoustics with coherent light. PHOTOACOUSTICS 2016; 4:22-35. [PMID: 27069874 PMCID: PMC4811919 DOI: 10.1016/j.pacs.2016.01.003] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/29/2015] [Accepted: 01/28/2016] [Indexed: 05/16/2023]
Abstract
Since its introduction in the mid-nineties, photoacoustic imaging of biological tissue has been one of the fastest growing biomedical imaging modality, and its basic principles are now considered as well established. In particular, light propagation in photoacoustic imaging is generally considered from the perspective of transport theory. However, recent breakthroughs in optics have shown that coherent light propagating through optically scattering medium could be manipulated towards novel imaging approaches. In this article, we first provide an introduction to the relevant concepts in the field, and then review the recent works showing that it is possible to exploit the coherence of light in conjunction with photoacoustics. We illustrate how the photoacoustic effect can be used as a powerful feedback mechanism for optical wavefront shaping in complex media, and conversely show how the coherence of light can be exploited to enhance photoacoustic imaging, for instance in terms of spatial resolution or for designing minimally invasive endoscopic devices. Finally, we discuss the current challenges and perspectives down the road towards practical applications in the field of photoacoustic imaging.
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Affiliation(s)
- Emmanuel Bossy
- ESPCI Paris, PSL Research University, CNRS, INSERM, Institut Langevin, 1 rue Jussieu, 75005 Paris, France
- Optics Laboratory and Laboratory of Applied Photonics Devices, School of Engineering, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland
| | - Sylvain Gigan
- Laboratoire Kastler Brossel, ENS-PSL Research University, CNRS, UPMC-Sorbonne Universités, Collège de France, 24 rue Lhomond 75005 Paris, France
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227
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Zeylikovich I, Xu M. Dynamic coherent backscattering mirror. AIP ADVANCES 2016; 6:025105. [PMID: 26937296 PMCID: PMC4752535 DOI: 10.1063/1.4941832] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 12/22/2015] [Accepted: 01/27/2016] [Indexed: 06/05/2023]
Abstract
The phase of multiply scattered light has recently attracted considerable interest. Coherent backscattering is a striking phenomenon of multiple scattered light in which the coherence of light survives multiple scattering in a random medium and is observable in the direction space as an enhancement of the intensity of backscattered light within a cone around the retroreflection direction. Reciprocity also leads to enhancement of backscattering light in the spatial space. The random medium behaves as a reciprocity mirror which robustly converts a diverging incident beam into a converging backscattering one focusing at a conjugate spot in space. Here we first analyze theoretically this coherent backscattering mirror (CBM) phenomenon and then demonstrate the capability of CBM compensating and correcting both static and dynamic phase distortions occurring along the optical path. CBM may offer novel approaches for high speed dynamic phase corrections in optical systems and find applications in sensing and navigation.
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Affiliation(s)
- I Zeylikovich
- Physics Department, Fairfield University , Fairfield, CT 06824, USA
| | - M Xu
- Physics Department, Fairfield University , Fairfield, CT 06824, USA
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228
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Brake J, Jang M, Yang C. Analyzing the relationship between decorrelation time and tissue thickness in acute rat brain slices using multispeckle diffusing wave spectroscopy. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2016; 33:270-5. [PMID: 26831778 PMCID: PMC4783160 DOI: 10.1364/josaa.33.000270] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/11/2023]
Abstract
Novel techniques in the field of wavefront shaping have enabled light to be focused deep inside or through scattering media such as biological tissue. However, most of these demonstrations have been limited to thin, static samples since these techniques are very sensitive to changes in the arrangement of the scatterers within. As the samples of interest get thicker, the influence of the dynamic nature of the sample becomes even more pronounced and the window of time in which the wavefront solutions remain valid shrinks further. In this paper, we examine the time scales upon which this decorrelation happens in acute rat brain slices via multispeckle diffusing wave spectroscopy and investigate the relationship between this decorrelation time and the thickness of the sample using diffusing wave spectroscopy theory and Monte Carlo photon transport simulation.
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229
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Hsu CW, Goetschy A, Bromberg Y, Stone AD, Cao H. Broadband Coherent Enhancement of Transmission and Absorption in Disordered Media. PHYSICAL REVIEW LETTERS 2015; 115:223901. [PMID: 26650306 DOI: 10.1103/physrevlett.115.223901] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/10/2015] [Indexed: 06/05/2023]
Abstract
Spatial modulation of the incident wave front has become a powerful method for controlling the diffusive transport of light in disordered media; however, such interference-based control is intrinsically sensitive to frequency detuning. Here, we show analytically and numerically that certain wave fronts can exhibit strongly enhanced total transmission or absorption across bandwidths that are orders of magnitude broader than the spectral correlation width of the speckles. Such broadband enhancement is possible due to long-range correlations in coherent diffusion, which cause the spectral degrees of freedom to scale as the square root of the bandwidth rather than the bandwidth itself.
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Affiliation(s)
- Chia Wei Hsu
- Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Arthur Goetschy
- ESPCI ParisTech, PSL Research University, CNRS, Institut Langevin, 1 rue Jussieu, F-75005 Paris, France
| | - Yaron Bromberg
- Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
| | - A Douglas Stone
- Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
| | - Hui Cao
- Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
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230
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Ruan H, Jang M, Yang C. Optical focusing inside scattering media with time-reversed ultrasound microbubble encoded light. Nat Commun 2015; 6:8968. [PMID: 26597439 PMCID: PMC4673873 DOI: 10.1038/ncomms9968] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2015] [Accepted: 10/22/2015] [Indexed: 12/16/2022] Open
Abstract
Focusing light inside scattering media in a freely addressable fashion is challenging, as the wavefront of the scattered light is highly disordered. Recently developed ultrasound-guided wavefront shaping methods are addressing this challenge, albeit with relatively low modulation efficiency and resolution limitations. In this paper, we present a new technique, time-reversed ultrasound microbubble encoded (TRUME) optical focusing, which can focus light with improved efficiency and sub-ultrasound wavelength resolution. This method ultrasonically destroys microbubbles, and measures the wavefront change to compute and render a suitable time-reversed wavefront solution for focusing. We demonstrate that the TRUME technique can create an optical focus at the site of bubble destruction with a size of ∼2 μm. We further demonstrate a twofold enhancement in addressable focus resolution in a microbubble aggregate target by exploiting the nonlinear pressure-to-destruction response of the microbubbles. The reported technique provides a deep tissue-focusing solution with high efficiency, resolution, and specificity. Focusing light inside biological tissue is challenging due to its strong scattering nature. Here, the authors develop a technique that uses ultrasonically destroyed microbubbles to assist in the computation of a wavefront solution which forms optical foci at the microbubble destruction sites.
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Affiliation(s)
- Haowen Ruan
- Department of Electrical Engineering, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, USA
| | - Mooseok Jang
- Department of Electrical Engineering, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, USA
| | - Changhuei Yang
- Department of Electrical Engineering, California Institute of Technology, 1200 East California Boulevard, Pasadena, California 91125, USA
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