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Vimal M, Luttmann M, Gadeyne T, Guer M, Cazali R, Bresteau D, Lepetit F, Tcherbakoff O, Hergott JF, Auguste T, Ruchon T. Photon Pathways and the Nonperturbative Scaling Law of High Harmonic Generation. PHYSICAL REVIEW LETTERS 2023; 131:203402. [PMID: 38039449 DOI: 10.1103/physrevlett.131.203402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/13/2023] [Revised: 09/14/2023] [Accepted: 10/03/2023] [Indexed: 12/03/2023]
Abstract
High harmonic generation (HHG) has become a core pillar of attosecond science. Traditionally described with field-based models, HHG can also be viewed in a parametric picture, which predicts all properties of the emitted photons, but not the nonperturbative efficiency of the process. Driving HHG with two noncollinear beams and deriving analytically the corresponding yield scaling laws for any intensity ratio, we herein reconcile the two interpretations, introducing a generalized photonic description of HHG. It is in full agreement with field-based simulations and experimental data, opening the route to smart engineering of HHG with multiple driving beams.
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Affiliation(s)
- Mekha Vimal
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | - Martin Luttmann
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | - Titouan Gadeyne
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
- Département de Chimie, École Normale Supérieure, PSL University, 75005 Paris, France
| | - Matthieu Guer
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | - Romain Cazali
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | - David Bresteau
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | - Fabien Lepetit
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | | | | | - Thierry Auguste
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
| | - Thierry Ruchon
- Université Paris-Saclay, CEA, CNRS, LIDYL, 91191 Gif-sur-Yvette, France
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Paul M, Pananghat B. Laser-Dressed Molecular Point Groups in the Kramers-Henneberger Oscillating Frame-of-Reference: Selection Rules for Higher Harmonic Generation. J Phys Chem Lett 2022; 13:6268-6275. [PMID: 35772052 DOI: 10.1021/acs.jpclett.2c01144] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/15/2023]
Abstract
Point groups of molecules in a laser, within the Kramers-Henneberger (KH) oscillating frame for laser-dressed states, is given in this work. In a Fourier series of the time-dependent potential, the zeroth-order time-average yields the point group of the laser-dressed molecule. Various laser polarizations and relative molecular orientation induce a new point group or retain the original point group. The dynamical Fourier components (KH potentials) classify as irreducibles of this new laser-dressed point group. Recurrence of unique irreducibles in the Fourier expansion dictates the dynamical symmetry of the Floquet Hamiltonian. Hence, selection rules for harmonic generation spectra are Nk ± 1 in harmonic order, where N is the number of unique irreducibles and k∈N.
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Affiliation(s)
- Mishu Paul
- Department of Chemical Sciences, Indian Institute of Science Education Research (IISER) Mohali, Sector-81, Knowledge City, S. A. S. Nagar, Mohali, Punjab-140306, India
| | - Balanarayan Pananghat
- Department of Chemical Sciences, Indian Institute of Science Education Research (IISER) Mohali, Sector-81, Knowledge City, S. A. S. Nagar, Mohali, Punjab-140306, India
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Nautiyal VV, Devi S, Tyagi A, Vidhani B, Maan A, Prasad V. Orientation and Alignment dynamics of polar molecule driven by shaped laser pulses. SPECTROCHIMICA ACTA. PART A, MOLECULAR AND BIOMOLECULAR SPECTROSCOPY 2021; 256:119663. [PMID: 33827039 DOI: 10.1016/j.saa.2021.119663] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/25/2020] [Revised: 02/17/2021] [Accepted: 02/28/2021] [Indexed: 06/12/2023]
Abstract
We review the theoretical status of intense laser induced orientation and alignment-a field of study which lies at the interface of intense laser physics and chemical dynamics and having potential applications such as high harmonic generation, nano-scale processing and control of chemical reactions. The evolution of the rotational wave packet and its dynamics leading to orientation and alignment is the topic of the present discussion. The major part of this article primarily presents an overview of recent theoretical progress in controlling the orientation and alignment dynamics of a molecule by means of shaped laser pulses. The various theoretical approaches that lead to orientation and alignment such as static electrostatic field in combination with laser field(s), combination of orienting and aligning field, combination of aligning fields, combination of orienting fields, application of train of pulses etc. are discussed. It is observed that the train of pulses is quite an efficient tool for increasing the orientation or alignment of a molecule without causing the molecule to ionize. The orientation and alignment both can occur in adiabatic and non-adiabatic conditions with the rotational period of the molecule taken under consideration. The discussion is mostly limited to non-adiabatic rotational excitation (NAREX) i.e. cases in which the pulse duration is shorter than the rotational period of the molecule. We have emphasised on the so called half-cycle pulse (HCP) and square pulse (SQP). The effect of ramped pulses and of collision on the various laser parameters is also studied. We summarize the current discussion by presenting a consistent theoretical approach for describing the action of such pulses on movement of molecules. The impact of a particular pulse shape on the post-pulse dynamics is also calculated and analysed. In addition to this, the roles played by various laser parameters including the laser frequency, the pulse duration and the system temperature etc. are illustrated and discussed. The concept of alignment is extended from one-dimensional alignment to three-dimensional alignment with the proper choice of molecule and the polarised light. We conclude the article by discussing the potential applications of intense laser orientation and alignment.
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Affiliation(s)
- Vijit V Nautiyal
- Department of Physics and Astrophysics, University of Delhi, Delhi, Delhi 110007, India
| | - Sumana Devi
- Department of Physics and Astrophysics, University of Delhi, Delhi, Delhi 110007, India; Department of Physics, Miranda House College, University of Delhi, Delhi, Delhi 110007, India
| | - Ashish Tyagi
- Department of Physics, Swami Shradhanand College, University of Delhi, Delhi, Delhi 110036, India
| | - Bhavna Vidhani
- Department of Physics, Hansraj College, University of Delhi, Delhi, Delhi 110007, India
| | - Anjali Maan
- Department of Physics, Pt.N.R.S.G.C.Rohtak, Maharshi Dayanand University, Rohtak 124001, Haryana, India
| | - Vinod Prasad
- Department of Physics, Swami Shradhanand College, University of Delhi, Delhi, Delhi 110036, India.
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Zhang GP. Optical high harmonic generation in C60. PHYSICAL REVIEW LETTERS 2005; 95:047401. [PMID: 16090838 DOI: 10.1103/physrevlett.95.047401] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/20/2004] [Indexed: 05/03/2023]
Abstract
High harmonic generation (HHG) requires a strong laser field, but in C60 a relatively weak laser field is sufficient. Numerical results presented here show that, while its low order harmonics result from the laser field, its high order ones are mainly from the multiple excitations. Since high order harmonics directly correlate with electronic transitions, the HHG spectrum accurately measures transition energies. Therefore, C60 is not only a promising material for HHG, but may also present an opportunity to develop HHG into an electronic structure probing tool.
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Affiliation(s)
- G P Zhang
- Department of Physics, Indiana State University, Terre Haute, 47809, USA.
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Wadehra A, Vikas, Deb BM. Electron in one-dimensional symmetric and asymmetric double-well potentials under intense/superintense laser fields: A numerical study based on time-dependent Schrödinger equation. J Chem Phys 2003. [DOI: 10.1063/1.1589481] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Pons ML, Taïeb R, Maquet A. Importance of population transfers in high-order harmonic-generation spectra. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:3634-3641. [PMID: 9913891 DOI: 10.1103/physreva.54.3634] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Balcou P, L'Huillier A, Escande D. High-order harmonic generation processes in classical and quantum anharmonic oscillators. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:3456-3468. [PMID: 9913288 DOI: 10.1103/physreva.53.3456] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Moreno P, Plaja L, Malyshev V, Roso L. Influence of barrier suppression in high-order harmonic generation. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:4746-4753. [PMID: 9912165 DOI: 10.1103/physreva.51.4746] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Rae SC, Burnett K, Cooper J. Generation and propagation of high-order harmonics in a rapidly ionizing medium. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:3438-3446. [PMID: 9911294 DOI: 10.1103/physreva.50.3438] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Kato S, Nishiguchi A, Mima K. Induced electrostatic fields in dense plasmas with an intense ultrashort pulse laser. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 50:2193-2199. [PMID: 9962226 DOI: 10.1103/physreve.50.2193] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Rae SC, Chen X, Burnett K. Saturation of harmonic generation in one- and three-dimensional atoms. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:1946-1949. [PMID: 9911097 DOI: 10.1103/physreva.50.1946] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Sanpera A. Behavior of the harmonic-generation spectrum for a short-range potential. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1967-1972. [PMID: 9910448 DOI: 10.1103/physreva.49.1967] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Protopapas M, Knight PL, Burnett K. Phase dependence in two-color excitation of a model atom by intense fields. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:1945-1949. [PMID: 9910445 DOI: 10.1103/physreva.49.1945] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Lewenstein M, Balcou P, Ivanov MY, L'Huillier A, Corkum PB. Theory of high-harmonic generation by low-frequency laser fields. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:2117-2132. [PMID: 9910464 DOI: 10.1103/physreva.49.2117] [Citation(s) in RCA: 800] [Impact Index Per Article: 26.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
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Hüller S, Meyer-ter-Vehn J. High-order harmonic radiation from solid layers irradiated by subpicosecond laser pulses. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:3906-3909. [PMID: 9910065 DOI: 10.1103/physreva.48.3906] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Rae SC, Burnett K. Calculations of high-order-harmonic generation in the strongly ionizing regime. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:2490-2493. [PMID: 9909884 DOI: 10.1103/physreva.48.2490] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Reed VC, Burnett K, Knight PL. Harmonic generation in the Kramers-Henneberger stabilization regime. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 47:R34-R37. [PMID: 9908990 DOI: 10.1103/physreva.47.r34] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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