Research progress on manipulating spatial coherence structure of light beam and its applications

Yu, Jiayi; Zhu, Xinlei; Wang, Fei; Chen, Yahong; Cai, Yangjian

doi:10.1016/j.pquantelec.2023.100486

“…Twist is stochastic in nature and disappears in the limit of a fully coherent beam. Much like Allen et al's seminal OAM beam work, twist has drawn significant attention since its discovery in 1993, including applications in imaging and scintillation reduction [10,[14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Hyde,

Wilson,

Bose-Pillai

2024

J. Opt. Soc. Am. A

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We derive the cross-spectral density (CSD) function for a twisted vortex partially coherent beam at the output of a general ABCD system in terms of multidimensional Hermite polynomials (MDHPs). MDHPs, which to our knowledge have not been applied in classical optics, offer notational and computational advantages over prior CSD function representations, which use common (one-dimensional) Hermite polynomials. We explain how to compute MDHPs using the recurrence relation given in the literature and include MATLAB code to generate MDHPs of any order. Lastly, we validate our work experimentally by comparing the measured spectral density of a twisted vortex beam at the output of an asymmetric optical system to predictions from our theoretical CSD function.

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“…Twist is stochastic in nature and disappears in the limit of a fully coherent beam. Much like Allen et al's seminal OAM beam work, twist has drawn significant attention since its discovery in 1993, including applications in imaging and scintillation reduction [10,[14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Hyde,

Wilson,

Bose-Pillai

2024

Preprint

0

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We derive the cross-spectral density (CSD) function for a twisted vortex partially coherent beam at the output of a general ABCD system in terms of multidimensional Hermite polynomials (MDHPs). MDHPs, which to our knowledge have not been applied in classical optics, offer notational and computational advantages over prior CSD function representations, which use common (one-dimensional) Hermite polynomials. We explain how to compute MDHPs using the recurrence relation given in the literature and include MATLAB code to generate MDHPs of any order. Lastly, we validate our work experimentally by comparing the measured spectral density of a twisted vortex beam at the output of an asymmetric optical system to predictions from our theoretical CSD function.

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“…Our method relies on the spatial coherence engineering of a partially coherent light beam, as opposed to a fully coherent light modulation. The spatial coherence engineering refers to the modulation of the second-order spatial coherence structure of a partially coherent beam, which has found use in a variety of applications including sub-Rayleigh optical imaging, optical encryption, beam shaping, and optical measurement and sensing [31][32][33]. Here, we use the technique of spatial coherence engineering to encode the FP polarization state into the spatial coherence structure of the partially coherent beam.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of Robust Full Poincaré Polarization States via Spatial Coherence Engineering

Zhang,

Dong

et al. 2024

Photonics

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The full Poincaré (FP) beam, encompassing all possible polarization states in its beam cross-section, has demonstrated advantages in various applications. However, conventional FP beams are typically considered as spatially fully coherent, rendering them sensitive to disturbances in the propagation path and susceptible to speckle effects. In this work, we propose an alternative approach to synthesize the optical beam with a FP polarization state through the spatial coherence engineering of a partially coherent beam. In this process, the FP polarization state is initially encoded into the spatial coherence structure of the beam source. We demonstrate that during the encoding process, the vector nature of the beam transitions from the FP polarization state to the spatial coherence structure of the source. However, during the propagation of the partially coherent beam, the vectorness reverts to the polarization state, resulting in the re-emergence of the encoded FP polarization in the output plane. We illustrate that the synthesized FP polarization state, achieved through spatial coherence engineering, is highly robust against obstructions in the propagation path. Furthermore, we examine the effect of the spatial coherence area of the beam on the quality of the recovered FP polarization state. The findings of this work can have valuable applications in optical trapping and optical imaging in complex environments.

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Research progress on manipulating spatial coherence structure of light beam and its applications

Cited by 20 publications

References 268 publications

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Synthesis of Robust Full Poincaré Polarization States via Spatial Coherence Engineering

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