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Buchta D, Serbes H, Claus D, Pedrini G, Osten W. Soft tissue elastography via shearing interferometry. J Med Imaging (Bellingham) 2018; 5:046001. [PMID: 30840733 DOI: 10.1117/1.jmi.5.4.046001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2018] [Accepted: 10/10/2018] [Indexed: 11/14/2022] Open
Abstract
Early detection of cancer can significantly increase the survival chances of patients. Palpation is a traditional method in order to detect cancer; however, in minimally invasive surgery the surgeon is deprived of the sense of touch. We demonstrate how shearing elastography can recover elastic parameters and furthermore can be used to localize stiffness imhomogenities even if hidden underneath the surface. Furthermore, the influence of size and depth of the stiffness imhomogenities on the detection accuracy and localization is investigated.
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Claus D, Pedrini G, Buchta D, Osten W. Accuracy enhanced and synthetic wavelength adjustable optical metrology via spectrally resolved digital holography. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2018; 35:546-552. [PMID: 29603983 DOI: 10.1364/josaa.35.000546] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/08/2017] [Accepted: 02/05/2018] [Indexed: 06/08/2023]
Abstract
This paper demonstrates the usefulness of spectrally resolved digital holography for dual-wavelength optical metrology. Based on the large degree of phase information available, multiple de-correlated dual-wavelength phase maps can be generated, which, when averaged, result in a signal-to-noise-ratio improvement. Compared with single-wavelength averaging, no further post-processing of the reconstructed dual-wavelength phase map is required. Moreover, the constraint imposed on the wavelength stability, as experienced in the conventional dual-wavelength method, can be relaxed, and the corresponding synthetic wavelength is adapted to the object under investigation. In addition, the possibility of optical sectioning based on the narrow-width coherence envelope is also demonstrated in transmission mode.
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Cazac V, Meshalkin A, Achimova E, Abashkin V, Katkovnik V, Shevkunov I, Claus D, Pedrini G. Surface relief and refractive index gratings patterned in chalcogenide glasses and studied by off-axis digital holography. APPLIED OPTICS 2018; 57:507-513. [PMID: 29400803 DOI: 10.1364/ao.57.000507] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/29/2017] [Accepted: 12/15/2017] [Indexed: 06/07/2023]
Abstract
Surface relief gratings and refractive index gratings are formed by direct holographic recording in amorphous chalcogenide nanomultilayer structures As2S3-Se and thin films As2S3. The evolution of the grating parameters, such as the modulation of refractive index and relief depth in dependence of the holographic exposure, is investigated. Off-axis digital holographic microscopy is applied for the measurement of the photoinduced phase gratings. For the high-accuracy reconstruction of the wavefront (amplitude and phase) transmitted by the fabricated gratings, we used a computational technique based on the sparse modeling of phase and amplitude. Both topography and refractive index maps of recorded gratings are revealed. Their separated contribution in diffraction efficiency is estimated.
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Singh AK, Pedrini G, Takeda M, Osten W. Scatter-plate microscope for lensless microscopy with diffraction limited resolution. Sci Rep 2017; 7:10687. [PMID: 28878361 PMCID: PMC5587816 DOI: 10.1038/s41598-017-10767-3] [Citation(s) in RCA: 44] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/22/2017] [Accepted: 08/14/2017] [Indexed: 11/22/2022] Open
Abstract
Scattering media have always been looked upon as an obstacle in imaging. Various methods, ranging from holography to phase compensation as well as to correlation techniques, have been proposed to cope with this obstacle. We, on the other hand, have a different understanding about the role of the diffusing media. In this paper we propose and demonstrate a ‘scatter-plate microscope’ that utilizes the diffusing property of the random medium for imaging micro structures with diffraction-limited resolution. The ubiquitous property of the speckle patterns permits to exploit the scattering medium as an ultra-thin lensless microscope objective with a variable focal length and a large working distance. The method provides a light, flexible and cost effective imaging device as an alternative to conventional microscope objectives. In principle, the technique is also applicable to lensless imaging in UV and X-ray microscopy. Experiments were performed with visible light to demonstrate the microscopic imaging of USAF resolution test target and a biological sample with varying numerical aperture (NA) and magnifications.
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Claus D, Mlikota M, Geibel J, Reichenbach T, Pedrini G, Mischinger J, Schmauder S, Osten W. Large-field-of-view optical elastography using digital image correlation for biological soft tissue investigation (erratum). J Med Imaging (Bellingham) 2017; 4:029801. [DOI: 10.1117/1.jmi.4.2.029801] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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31
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Narayanamurthy CS, Pedrini G, Osten W. Digital holographic photoelasticity. APPLIED OPTICS 2017; 56:F213-F217. [PMID: 28463266 DOI: 10.1364/ao.56.00f213] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
A new technique using digital holography to study the photoelastic isochromatic and isopachic fringes and their respective phases is reported. Our detailed theoretical and experimental analysis shows the possibility of whole-field analysis of every section of stressed photoelastic materials.
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Claus D, Pedrini G, Osten W. Iterative phase retrieval based on variable wavefront curvature. APPLIED OPTICS 2017; 56:F134-F137. [PMID: 28463307 DOI: 10.1364/ao.56.00f134] [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
An alternative phase retrieval technique is discussed in this paper, which offers some advantages for the obtained resolution and reconstruction procedure. In contrast to commonly applied iterative phase retrieval routines, diffraction patterns with varying distance between the illumination source and the object are recorded. This has the same effect as changing the object sensor distance, albeit offering the advantage of preserving the resolution. Moreover, it is possible to employ the direct Fresnel propagation method without having to worry about different pixel sizes in the reconstruction plane. In addition, the influence of speckle decorrelation has carefully been studied and considered for the experimental implementation.
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Claus D, Mlikota M, Geibel J, Reichenbach T, Pedrini G, Mischinger J, Schmauder S, Osten W. Large-field-of-view optical elastography using digital image correlation for biological soft tissue investigation. J Med Imaging (Bellingham) 2017; 4:014505. [PMID: 28386578 PMCID: PMC5352912 DOI: 10.1117/1.jmi.4.1.014505] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/09/2016] [Accepted: 02/17/2017] [Indexed: 11/14/2022] Open
Abstract
In minimally invasive surgery the haptic feedback, which represents an important tool for the localization of abnormalities, is no longer available. Elastography is an imaging technique that results in quantitative elastic parameters. It can hence be used to replace the lost sense of touch, as to enable tissue localization and discrimination. Digital image correlation is the chosen elastographic imaging technique. The implementation discussed here is clinically sound, based on a spectrally engineered illumination source that enables imaging of biological surface markers (blood vessels) with high contrast. Mechanical loading and deformation of the sample is performed using a rolling indenter, which enables the investigation of large organs (size of kidney) with reduced measurement time compared to a scanning approach. Furthermore, the rolling indentation results in strain contrast improvement and an increase in detection accuracy. The successful application of digital image correlation is first demonstrated on a silicone phantom and later on biological samples. Elasticity parameters and their corresponding four-dimensional distribution are generated via solving the inverse problem (only two-dimensional displacement field and strain map experimentally available) using a well-matched hyperelastic finite element model.
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Singh AK, Naik DN, Pedrini G, Takeda M, Osten W. Exploiting scattering media for exploring 3D objects. LIGHT, SCIENCE & APPLICATIONS 2017; 6:e16219. [PMID: 30167232 PMCID: PMC6062180 DOI: 10.1038/lsa.2016.219] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/02/2016] [Revised: 08/22/2016] [Accepted: 09/04/2016] [Indexed: 05/20/2023]
Abstract
Scattering media, such as diffused glass and biological tissue, are usually treated as obstacles in imaging. To cope with the random phase introduced by a turbid medium, most existing imaging techniques recourse to either phase compensation by optical means or phase recovery using iterative algorithms, and their applications are often limited to two-dimensional imaging. In contrast, we utilize the scattering medium as an unconventional imaging lens and exploit its lens-like properties for lensless three-dimensional (3D) imaging with diffraction-limited resolution. Our spatially incoherent lensless imaging technique is simple and capable of variable focusing with adjustable depths of focus that enables depth sensing of 3D objects that are concealed by the diffusing medium. Wide-field imaging with diffraction-limited resolution is verified experimentally by a single-shot recording of the 1951 USAF resolution test chart, and 3D imaging and depth sensing are demonstrated by shifting focus over axially separated objects.
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Khodadad D, Singh AK, Pedrini G, Sjödahl M. Full-field 3D deformation measurement: comparison between speckle phase and displacement evaluation. APPLIED OPTICS 2016; 55:7735-7743. [PMID: 27661605 DOI: 10.1364/ao.55.007735] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The objective of this paper is to describe a full-field deformation measurement method based on 3D speckle displacements. The deformation is evaluated from the slope of the speckle displacement function that connects the different reconstruction planes. For our experiment, a symmetrical arrangement with four illuminations parallel to the planes (x,z) and (y,z) was used. Four sets of speckle patterns were sequentially recorded by illuminating an object from the four directions, respectively. A single camera is used to record the holograms before and after deformations. Digital speckle photography is then used to calculate relative speckle displacements in each direction between two numerically propagated planes. The 3D speckle displacements vector is calculated as a combination of the speckle displacements from the holograms recorded in each illumination direction. Using the speckle displacements, problems associated with rigid body movements and phase wrapping are avoided. In our experiment, the procedure is shown to give the theoretical accuracy of 0.17 pixels yielding the accuracy of 2×10-3 in the measurement of deformation gradients.
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36
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Georges MP, Vandenrijt JF, Thizy C, Alexeenko I, Pedrini G, Vollheim B, Lopez I, Jorge I, Rochet J, Osten W. Combined holography and thermography in a single sensor through image-plane holography at thermal infrared wavelengths. OPTICS EXPRESS 2014; 22:25517-25529. [PMID: 25401585 DOI: 10.1364/oe.22.025517] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Holographic interferometry in the thermal wavelengths range, combining a CO(2) laser and digital hologram recording with a microbolometer array based camera, allows simultaneously capturing temperature and surface shape information about objects. This is due to the fact that the holograms are affected by the thermal background emitted by objects at room temperature. We explain the setup and the processing of data which allows decoupling the two types of information. This natural data fusion can be advantageously used in a variety of nondestructive testing applications.
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Osten W, Faridian A, Gao P, Körner K, Naik D, Pedrini G, Singh AK, Takeda M, Wilke M. Recent advances in digital holography [invited]. APPLIED OPTICS 2014; 53:G44-63. [PMID: 25322137 DOI: 10.1364/ao.53.000g44] [Citation(s) in RCA: 73] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2014] [Accepted: 06/05/2014] [Indexed: 05/25/2023]
Abstract
This article presents an overview of recent advances in the field of digital holography, ranging from holographic techniques designed to increase the resolution of microscopic images, holographic imaging using incoherent illumination, phase retrieval with incoherent illumination, imaging of occluded objects, and the holographic recording of depth-extended objects using a frequency-comb laser, to the design of an infrastructure for remote laboratories for digital-holographic microscopy and metrology. The paper refers to current trends in digital holography and explains them using new results that were recently achieved at the Institute for Applied Optics of the University Stuttgart.
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Gao P, Pedrini G, Zuo C, Osten W. Phase retrieval using spatially modulated illumination. OPTICS LETTERS 2014; 39:3615-3618. [PMID: 24978550 DOI: 10.1364/ol.39.003615] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
In this Letter, we propose a method for retrieving the phase of a wavefront from the diffraction patterns recorded when the object is sequentially illuminated by spatially modulated light. For wavefronts having a smooth phase, the retrieval is achieved by using a deterministic method. When the phase has discontinuities, an iterative process is used for the retrieval and enhancement of the spatial resolution. Both the deterministic and iterative phase reconstructions are demonstrated by experiments.
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39
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Singh AK, Faridian A, Gao P, Pedrini G, Osten W. Quantitative phase imaging using a deep UV LED source. OPTICS LETTERS 2014; 39:3468-71. [PMID: 24978513 DOI: 10.1364/ol.39.003468] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/18/2023]
Abstract
We propose a method for high resolution phase imaging of biological and non-biological samples using an incoherent deep ultraviolet (DUV) LED source. The diffraction pattern of the object wave is recorded at different axial planes and the phase is retrieved by propagation of the angular spectrum. To maintain enough light intensity, we avoided using a pinhole or spectral filter for increasing the coherence of the DUV LED source. This makes the setup very simple and cost effective. The short wavelength (285 nm) of the DUV light, tuned to the absorption peak of the biological samples, allows simultaneously high resolution and high contrast images. The experimental results are presented to verify this principle.
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Singh AK, Naik DN, Pedrini G, Takeda M, Osten W. Looking through a diffuser and around an opaque surface: a holographic approach. OPTICS EXPRESS 2014; 22:7694-7701. [PMID: 24718145 DOI: 10.1364/oe.22.007694] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Retrieving the information about the object hidden around a corner or obscured by a diffused surface has a vast range of applications. Over the time many techniques have been tried to make this goal realizable. Here, we are presenting yet another approach to retrieve a 3-D object from the scattered field using digital holography with statistical averaging. The methods are simple, easy to implement and allow fast image reconstruction because they do not require phase correction, complicated image processing, scanning of the object or any kind of wave shaping. The methods inherit the merit of digital holography that the micro deformation and displacement of the hidden object can also be detected.
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41
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Naik DN, Pedrini G, Takeda M, Osten W. Spectrally resolved incoherent holography: 3D spatial and spectral imaging using a Mach-Zehnder radial-shearing interferometer. OPTICS LETTERS 2014; 39:1857-1860. [PMID: 24686623 DOI: 10.1364/ol.39.001857] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Spatial and spectral information holds the key for characterizing incoherently illuminated or self-luminous objects, as well as for imaging fluorescence. We propose spectrally resolved incoherent holography using a multifunctional Mach-Zehnder interferometer that can introduce both a radial shear and a variable time delay between the interfering optical fields and permits the measurement of both spatial and temporal coherence functions, from which a 3D spatial and spectral image of the object is reconstructed. We propose and demonstrate the accurate 3D imaging of the object spectra by in situ calibration.
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42
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Faridian A, Pedrini G, Osten W. Opposed-view dark-field digital holographic microscopy. BIOMEDICAL OPTICS EXPRESS 2014; 5:728-36. [PMID: 24688809 PMCID: PMC3959838 DOI: 10.1364/boe.5.000728] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/27/2013] [Revised: 01/22/2014] [Accepted: 02/05/2014] [Indexed: 05/05/2023]
Abstract
Scattering and absorption belong to the major problems in imaging the internal layers of a biological specimen. Due to the structural inhomogeneity of the specimen, the distribution of the structures in the upper layers of a given internal structure of interest is different from the lower layers that may result in different interception of scattered light, falling into the angular aperture of the microscope objective, from the object in each imaging view. Therefore, different spatial frequencies of the scattered light can be acquired from different (top and bottom) views. We have arranged an opposed-view dark-field digital holographic microscope (DHM) to collect the scattered light concurrently from both views with the aim to increase the contrast of internal structures and improve the signal-to-noise ratio. Implementing a DHM system gives the possibility to implement digital refocusing process and obtain multilayer images from each side without a depth scan of the object. The method is explained and the results are presented exemplary for a Drosophila embryo.
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43
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Gao P, Pedrini G, Osten W. Phase retrieval with resolution enhancement by using structured illumination. OPTICS LETTERS 2013; 38:5204-5207. [PMID: 24322218 DOI: 10.1364/ol.38.005204] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
In this Letter, we present referenceless phase retrieval methods with resolution enhancement. Structured illuminations with different orientations and phase shifts are generated by a spatial light modulator and are used to illuminate the specimen. The generated diffraction patterns are recorded by a CCD camera, and the phase of the wavefront is reconstructed from these patterns.
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44
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Faridian A, Pedrini G, Osten W. High-contrast multilayer imaging of biological organisms through dark-field digital refocusing. JOURNAL OF BIOMEDICAL OPTICS 2013; 18:86009. [PMID: 23942634 DOI: 10.1117/1.jbo.18.8.086009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
We have developed an imaging system to extract high contrast images from different layers of biological organisms. Utilizing a digital holographic approach, the system works without scanning through layers of the specimen. In dark-field illumination, scattered light has the main contribution in image formation, but in the case of coherent illumination, this creates a strong speckle noise that reduces the image quality. To remove this restriction, the specimen has been illuminated with various speckle-fields and a hologram has been recorded for each speckle-field. Each hologram has been analyzed separately and the corresponding intensity image has been reconstructed. The final image has been derived by averaging over the reconstructed images. A correlation approach has been utilized to determine the number of speckle-fields required to achieve a desired contrast and image quality. The reconstructed intensity images in different object layers are shown for different sea urchin larvae. Two multimedia files are attached to illustrate the process of digital focusing.
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Gao P, Pedrini G, Osten W. Structured illumination for resolution enhancement and autofocusing in digital holographic microscopy. OPTICS LETTERS 2013; 38:1328-30. [PMID: 23595474 DOI: 10.1364/ol.38.001328] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
In this Letter we show how resolution enhancement and autofocusing in digital holographic microscopy is obtained by using structured illumination generated by a spatial light modulator, which enables it to project fringes of different orientations and phase shift without mechanical movement. The image plane is numerically determined by searching for the minimal deviation between the reconstructed images carried by different diffraction orders of the structured illuminations.
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Naik DN, Pedrini G, Osten W. Recording of incoherent-object hologram as complex spatial coherence function using Sagnac radial shearing interferometer and a Pockels cell. OPTICS EXPRESS 2013; 21:3990-3995. [PMID: 23481933 DOI: 10.1364/oe.21.003990] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The ideas of incoherent holography were conceived after the invention of coherent-light holography and their concepts seems indirectly related to it. In this work, we adopt an approach based on statistical optics to describe the process of recording of an incoherent-object hologram as a complex spatial coherence function. A Sagnac radial shearing interferometer is used for the correlation of optical fields and a Pockels cell is used to phase shift the interfering fields with the objective to quantify and to retrieve the spatial coherence function.
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47
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Alexeenko I, Vandenrijt JF, Pedrini G, Thizy C, Vollheim B, Osten W, Georges MP. Nondestructive testing by using long-wave infrared interferometric techniques with CO2 lasers and microbolometer arrays. APPLIED OPTICS 2013; 52:A56-A67. [PMID: 23292423 DOI: 10.1364/ao.52.000a56] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/06/2012] [Accepted: 09/20/2012] [Indexed: 06/01/2023]
Abstract
We describe three different interferometric techniques (electronic speckle pattern interferometry, digital holographic interferometry, and digital shearography), using a long-wave infrared radiation produced by a CO(2) laser and recorded on a microbolometer array. Experimental results showing how these methods can be used for nondestructive testing are presented. Advantages and disadvantages of these approaches are discussed.
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Tiziani HJ, Pedrini G. From speckle pattern photography to digital holographic interferometry [Invited]. APPLIED OPTICS 2013; 52:30-44. [PMID: 23292373 DOI: 10.1364/ao.52.000030] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/23/2012] [Accepted: 09/21/2012] [Indexed: 05/28/2023]
Abstract
Speckles are inherently an interference phenomenon produced when an optically rough surface or a turbulent medium introduces some degree of randomness to a reflected or a transmitted electromagnetic field. Speckles are often nuisance in coherent image formation. Speckle patterns are however a useful tool for displacement and deformation as well as vibration and stress analysis. The development of speckle photography to speckle interferometry and digital holographic interferometry is described in this paper.
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49
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Bao P, Situ G, Pedrini G, Osten W. Lensless phase microscopy using phase retrieval with multiple illumination wavelengths. APPLIED OPTICS 2012; 51:5486-5494. [PMID: 22859039 DOI: 10.1364/ao.51.005486] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/02/2012] [Accepted: 06/04/2012] [Indexed: 06/01/2023]
Abstract
A phase retrieval method for microscopy using multiple illumination wavelengths is proposed. A fast algorithm suitable for calculations with high numerical aperture is used for the iterative retrieval of the object wavefront. The advantages and limitations of the technique are systematically analyzed and demonstrated by both simulation and experimental results.
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50
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Almoro PF, Waller L, Agour M, Falldorf C, Pedrini G, Osten W, Hanson SG. Enhanced deterministic phase retrieval using a partially developed speckle field. OPTICS LETTERS 2012; 37:2088-2090. [PMID: 22660130 DOI: 10.1364/ol.37.002088] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
A technique for enhanced deterministic phase retrieval using a partially developed speckle field (PDSF) and a spatial light modulator (SLM) is demonstrated experimentally. A smooth test wavefront impinges on a phase diffuser, forming a PDSF that is directed to a 4f setup. Two defocused speckle intensity measurements are recorded at the output plane corresponding to axially-propagated representations of the PDSF in the input plane. The speckle intensity measurements are then used in a conventional transport of intensity equation (TIE) to reconstruct directly the test wavefront. The PDSF in our technique increases the dynamic range of the axial intensity derivative for smooth phase objects, resulting in a more robust solution to the TIE. The SLM setup enables a fast and accurate recording of speckle intensity. Experimental results are in good agreement with those obtained using the iterative phase retrieval and digital holographic methods of wavefront reconstruction.
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