2021
DOI: 10.3390/photonics8050146
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Linear Combinations of the Complex Degrees of Coherence

Abstract: We propose a method for structuring the spatial coherence state of light via mixed linear combinations of N complex degrees of coherence (CDC) and specify the conditions under which such combinations represent a valid CDC. Several examples demonstrate that this method opens previously unknown avenues for modeling random sources, radiating to light fields with unique features.

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Cited by 5 publications
(2 citation statements)
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“…The Schell model type is currently the foundation for the majority of investigations on the structure of the partially coherent light source. Since Gori et al established the necessary requirements for a valid CSD function [3,4], much consideration and discussion have been given to the studies of the spatial correlation structure of partially coherent sources, and a number of partially coherent beam models with extraordinary correlation structures have been put forth by later researchers [5,6]. Furthermore, it was discovered that special correlated structured beams are superior to conventional correlated structured beams in terms of their many distinctive transmission qualities, such as nonuniform correlated Schell model (NUCSM) beams with a self-focused, self-shifted effect in transmission [7,8]; multi-Gaussian Schell model (MGCSM) beams with circularly symmetric flat-topped intensity distribution in the far field [9][10][11]; and cosine Gaussian Schell model (CGSM) sources form a dark hollow light intensity distribution after transmission over a distance [12].…”
Section: Introductionmentioning
confidence: 99%
“…The Schell model type is currently the foundation for the majority of investigations on the structure of the partially coherent light source. Since Gori et al established the necessary requirements for a valid CSD function [3,4], much consideration and discussion have been given to the studies of the spatial correlation structure of partially coherent sources, and a number of partially coherent beam models with extraordinary correlation structures have been put forth by later researchers [5,6]. Furthermore, it was discovered that special correlated structured beams are superior to conventional correlated structured beams in terms of their many distinctive transmission qualities, such as nonuniform correlated Schell model (NUCSM) beams with a self-focused, self-shifted effect in transmission [7,8]; multi-Gaussian Schell model (MGCSM) beams with circularly symmetric flat-topped intensity distribution in the far field [9][10][11]; and cosine Gaussian Schell model (CGSM) sources form a dark hollow light intensity distribution after transmission over a distance [12].…”
Section: Introductionmentioning
confidence: 99%
“…In [7], the possibility of substituting a coherence state with a nonlinear phase by a linear combination of those with linear phases is suggested, a method that could be used for theoretical work and the design of elementary (linear) phase devices of correlation optics. Due to the recent wide-spread use of manipulation of optical fields with the high spatio-temporal resolution devices (e.g., spatial light modulators), it became possible not only to computer-simulate light fields with arbitrary statistics but also to implement them in real-light systems.…”
mentioning
confidence: 99%