Polarization properties of Square Multi-Gaussian Schell-Model beam propagating through non-Kolmogorov turbulence

Zhang, Hanmou; Fu, Weijie

doi:10.1016/j.ijleo.2017.01.045

Cited by 8 publications

(4 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Based on the modified Rytov method, Liu et al developed the expression of the spiral spectrum of the beam in slant atmospheric turbulence using the non-Kolmogorov power spectrum with the atmospheric turbulent inner scale and the outer scale, which changed with altitude [66]. Zhang and Fu derived the analytical expressions for elements of the cross-spectral density matrix of a Square Multi-Gaussian-Schell Model (SMGSM) beam propagating in non-Kolmogorov turbulence, based on the extended Huygens-Fresnel integral [67]. Based on the generalized Huygens-Fresnel principle, Tang et al derived the analytical expressions of partially coherent Lommel beams propagating in a turbulent atmosphere.…”

Section: Theoretical Studies Of Non-kolmogorov Turbulent Effectmentioning

confidence: 99%

A Survey of Structure of Atmospheric Turbulence in Atmosphere and Related Turbulent Effects

Fa-zhi¹,

Du²,

Yuan³

et al. 2021

Atmosphere

View full text Add to dashboard Cite

The Earth’s atmosphere is the living environment in which we live and cannot escape. Atmospheric turbulence is a typical random inhomogeneous medium, which causes random fluctuations of both the amplitude and phase of optical wave propagating through it. Currently, it is widely accepted that there exists two kinds of turbulence in the aerosphere: one is Kolmogorov turbulence, and the other is non-Kolmogorov turbulence, which have been confirmed by both increasing experimental evidence and theoretical investigations. The results of atmospheric measurements have shown that the structure of atmospheric turbulence in the Earth’s atmosphere is composed of Kolmogorov turbulence at lower levels and non-Kolmogorov turbulence at higher levels. Since the time of Newton, people began to study optical wave propagation in atmospheric turbulence. In the early stage, optical wave propagation in Kolmogorov atmospheric turbulence was mainly studied and then optical wave propagation in non-Kolmogorov atmospheric turbulence was also studied. After more than half a century of efforts, the study of optical wave propagation in atmospheric turbulence has made great progress, and the theoretical results are also used to guide practical applications. On this basis, we summarize the development status and latest progress of propagation theory in atmospheric turbulence, mainly including propagation theory in conventional Kolmogorov turbulence and one in non-Kolmogorov atmospheric turbulence. In addition, the combined influence of Kolmogorov and non-Kolmogorov turbulence in Earth’s atmosphere on optical wave propagation is also summarized. This timely summary is very necessary and is of great significance for various applications and development in the aerospace field, where the Earth’s atmosphere is one part of many links.

show abstract

Section: Theoretical Studies Of Non-kolmogorov Turbulent Effectmentioning

confidence: 99%

A Survey of Structure of Atmospheric Turbulence in Atmosphere and Related Turbulent Effects

Fa-zhi¹,

Du²,

Yuan³

et al. 2021

Atmosphere

View full text Add to dashboard Cite

show abstract

“…The special correlated beams propagating in non-Kolmogorov turbulence have been investigated, such as the elegant Hermite-Gaussian correlated Schell-model beam [20], and the Laguerre-Gaussian correlated Schell-model beam [21]. The polarization properties of laser beam propagating in non-Kolmogorov turbulence have been widely studied, such as radially polarized multi-cosine Gaussian Schellmodel beams [22], and square multi-Gaussian Schell-model beams [23]. However, to the best of our knowledge, until now, the evolution properties of a four-petal Lorentz-Gauss beam propagating in turbulent media have not been studied.…”

Section: Laser Physicsmentioning

confidence: 99%

Propagation properties of a partially coherent four-petal Lorentz–Gauss beam in non-Kolmogorov turbulence

Liu¹,

Wang²,

Zhong³

et al. 2019

Laser Phys.

View full text Add to dashboard Cite

The model of a partially coherent four-petal Lorentz-Gauss beam generated by the Gaussian Schell-model source was first introduced. The cross-spectral density function of a partially coherent four-petal Lorentz-Gauss beam propagating in non-Kolmogorov turbulence was derived by using the extended Huygens-Fresnel integral. The spreading and coherence properties of a partially coherent four-petal Lorentz-Gauss beam propagating in non-Kolmogorov turbulence were studied. The results show that such a beam propagating in non-Kolmogorov turbulence with either larger C 2 n , smaller α, larger L 0 , or smaller l 0 will lose the four-petal profile distribution and evolve into a solid beam with Gaussian-like distribution more rapidly as the propagation distance increases. The results also show that the spectral degree of coherence of a partially coherent four-petal Lorentz-Gauss beam between two points (−x, 0) and (x, 0) will decrease as the distance of two points increases in the far field.

show abstract

“…According to previous work, the partially coherent beams can reduce the effects of turbulent atmosphere [31], thus the evolutions of partially coherent array beams in turbulence, such as Gaussian Schell-model array beams [3,[32][33][34], radial phase-locked array beams [35][36][37][38][39][40], and optical coherence vortex lattices [41], were also investigated. The multi-Gaussian Schell-model (MGSM) beams will evolve into flat-topped beams, thus the beams generated by a MGSM source have attracted much attention [42][43][44][45][46][47][48]. Considering the special properties of MGSM beams, it will thus be very interesting to investigate the array beams generated by a MGSM source.…”

Section: Introductionmentioning

confidence: 99%

Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Liu

Wang

et al. 2020

Applied Sciences

View full text Add to dashboard Cite

In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated by MGSM array beams will become larger as the total number of terms, M, increases or coherence length, σ , decreases, and the beam in stronger non-Kolmogorov turbulence (larger α and l 0 , or smaller L 0 ) will also have a larger beam size.

show abstract

Polarization properties of Square Multi-Gaussian Schell-Model beam propagating through non-Kolmogorov turbulence

Cited by 8 publications

References 22 publications

A Survey of Structure of Atmospheric Turbulence in Atmosphere and Related Turbulent Effects

A Survey of Structure of Atmospheric Turbulence in Atmosphere and Related Turbulent Effects

Propagation properties of a partially coherent four-petal Lorentz–Gauss beam in non-Kolmogorov turbulence

Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Contact Info

Product

Resources

About