Abstract

The characteristics of partially coherent circular flattened Gaussian vortex beams in turbulent biological tissues are investigated, and the analytical formula for the cross-spectral density of this beam is derived. According to the cross-spectral density matrix, the average intensity and degree of polarization can be obtained. By numerical simulation, the distributions of the normalized average intensity and degree of polarization of partially coherent circular flattened Gaussian vortex beams are demonstrated on the research plane of turbulent biological tissues. The effects of the two beam parameters, the topological charge, the two transverse coherent lengths, and the structural constant of biological turbulence on the normalized average intensity and degree of polarization are analyzed. This study is of great significance for the potential application of partially coherent circular flattened Gaussian vortex beams in medical imaging and medical diagnosis.

Highlights

  • Since the intensity distribution of a flat-topped beam is almost uniform, the flat-topped beam has the potential for application in some special fields

  • As far as we know, there are no updated reports on partially coherent circular flattened Gaussian vortex beam propagating in turbulent biological tissues

  • The cross-spectral density of the partially coherent circular flattened Gaussian vortex beam propagating in turbulent biological tissues can be analytically expressed as: Wjj (ρ, θ, ρ, θ, z) =

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Summary

Introduction

Since the intensity distribution of a flat-topped beam is almost uniform, the flat-topped beam has the potential for application in some special fields. As far as we know, there are no updated reports on partially coherent circular flattened Gaussian vortex beam propagating in turbulent biological tissues. In the rest of this paper, the properties of partially coherent circular flattened Gaussian vortex beam in turbulent biological tissues are investigated. × 2 matrix of cross-spectral density for a partially coherent circular flattened Gaussian vortex beam in the initial plane z = 0 is described by [44]. The cross-spectral density of the partially coherent circular flattened Gaussian vortex beam propagating in turbulent biological tissues can be analytically expressed as: Wjj (ρ, θ, ρ, θ, z) =. The matrix of the cross-spectral density for the partially coherent circular flattened Gaussian vortex beam in turbulent biological tissues. The degree of polarization of the partially coherent circular flattened Gaussian vortex beam in the initial plane yields:

Numerical Simulation and Results
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Conclusions
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