Properties of the Rotation and Mergence of Twisted Gaussian Schell Model Array Beams Propagating in Turbulent Biological Tissues

Yang Xianyang,Fu Wenyu,Rainer Leitgeb

doi:10.1155/2022/1157777

Abstract

In this paper, an analytical expression for describing propagation properties of twisted Gaussian Schell model array (TGSMA) beams through turbulent biological tissues is derived based on the extended Huygens Fresnel integral. With the help of the formulae, properties of the rotation and mergence for the TGSMA beams in turbulent biological tissues are researched in detail. It is found that the TGSMA beams go through the distinct mergence period in the far field besides phenomena of abruption and rotation in the near field, and turbulent biological tissues play a dominated role in mergence of the TGSMA beams. These novel results may be helpful in optical trapping.

Highlights

In [15], the study provides a result for spectral shift of electromagnetic Gaussian Schell model (GSM) beams propagating through tissues. e statistical properties of anisotropic electromagnetic beams passing through the biological tissues have been studied [16]
Due to complex structure of power spectrum model of biological turbulence, we examine numerically behavior of the twisted Gaussian Schell model array (TGSMA) beams propagating in turbulent biological tissues
We have obtained an analytical expression for describing polarization properties of the TGSMA beams in turbulent biological tissues based on the extended Huygens Fresnel integral

Summary

Introduction

In medicine and other relative fields, image reconstruction technology including optical coherence tomography [1–6] become more and more important and it provided a good insight into the physiological and pathological changes in animal tissues [7, 8]. By virtue of the power spectrum, many studies related to the stochastic properties of various beams propagating through biological tissues are presented [10–12]. Despite, properties of twisted Gaussian Schell model array beams propagating through a turbulent biological tissue have not been studied so far. By substituting equations (1) and (2) and (4) and (5) into equation (3) and performing mathematical calculation, we obtain the following expression for the CSD function of the TGSMA beams through turbulent biological tissues. Based on equation (6), the average intensity and the DOC for the TGSMA beams propagating in turbulent biological tissue can be expressed as [30]

Numerical Example and Analysis

Conclusion