Influence of biological tissue and spatial correlation on spectral changes of Gaussian-Schell model vortex beam

2021

Preprint

In this paper, the effects of turbulent biological tissues (TBT) on the propagation properties of the coherent Laguerre-Gaussian (CLG) beams are studied. Based on the turbulence theory and using the power spectrum refractive-index model, the expression formulae of the average irradiance intensity and spreading properties of a CLG beam propagating in TBT are derived. The influence of propagation distance, beam orders, wavelengths and tissue turbulence parameters are then investigated numerically. It found that, the central dark zone of the circular/elliptical LG beams rises more rapidly as the propagation distance and the structural constant of the refractive index of the biological tissue increase and the beams become eventually more like Gaussian beams in the far-field under the influence of the turbulence biological tissues. Also, the numerical results proved that the effective beam spot radius increases as turbulence, wavelength, and propagation distance are increasing. Ultimately, the beams become circular under the influence of the turbulence of the biological tissue. As found that the effective beam spot radius along the x-axis becomes equal to that of the y-axis in high TBT which explain why an elliptical LG beam is converted into a circular one in higher structural constant of the turbulent tissue. Moreover, our results show that, the influence of the beam order m slightly greater than that of l on the beam spreading.

Section: Analytical Formulae Of Clg Beam In Tbtmentioning

confidence: 99%

Effect of the turbulent biological tissues on the propagation properties of coherent Laguerre-Gaussian beams

Ebrahim

2021

Preprint

“…Vortex beams are one type of these beams. For these features, a considerable number of research has been conducted about the propagation of stochastic electromagnetic vortex beams (Luo et al 2014;Duan et al 2020), anomalous hollow Gaussian beams (Lu et al 2016), and Circular and elliptical hollow Gaussian beams (Saad and Belafhal 2017) through turbulent biological tissues. Up to now, the Circular Laguerre-Gaussian beams have been successively introduced and analyzed by Ebrahim and Belafhal (Ebrahim and Belafhal 2021).…”

Section: Introductionmentioning

confidence: 99%

Analyzing the spreading properties of vortex beam in turbulent biological tissues

Chib

2022

Opt Quant Electron

Presenting the intensity development of a circular Laguerre-cosh-Gaussian (CLChG) beam in turbulent mouse biological tissues is the major goal of the current work. Using the power spectrum refractive index from Schmitt's model and the extended Huygens-Fresnel integral, the propagation formula of the CLChG beam is produced. In order to determine the spreading properties of the studied beam, analytical expressions of the CLChG beam's effective beam size in turbulent mouse biological tissues are constructed. Some graphical representations have to be carried out in order to discover the impacts of beam and biological turbulence parameters on this sort of beam. The findings show that the transformation of the CLChG beam into a Gaussian-like beam in the far field occurs more quickly when the beam passes through the deep dermis of the mouse. The shape of the CLChG beam can also be changed by choosing a specific value for the parameter linked to the cosh-part. Because the effective beam spot radius along the x-and y-axis are equal, we also see that the beam spot in biological tissues takes on a circular shape.

“…In this regard, through any biological tissue, the treatment of circular and elliptical of hollow and anomalous hollow Gaussian beams (Saad and Belafhal 2017;Lu et al 2016) and the statistical properties of stochastic vortex beams (Luo et al 2014) have been investigated. Other surveys have studied the propagation of vortex beams in biological tissues (Ni et al 2019;Duan et al 2020). However, the light field with the vortex formal of LG mode propagating in a turbulent tissue, to our knowledge, is not considered anywhere.…”

Section: Introductionmentioning

confidence: 99%

Effect of the turbulent biological tissues on the propagation properties of Coherent Laguerre-Gaussian beams

Ebrahim

2021

Opt Quant Electron

In this paper, the effects of turbulent biological tissues (TBT) on the propagation properties of the coherent Laguerre-Gaussian (CLG) beams are studied. Based on the turbulence theory and using the power spectrum refractive-index model, the expression formulae of the average irradiance intensity and spreading properties of a CLG beam propagating in TBT are derived. The influence of propagation distance, beam orders, wavelengths and tissue turbulence parameters are then investigated numerically. It found that, the central dark zone of the circular/elliptical LG beams rises more rapidly as the propagation distance and the structural constant of the refractive index of the biological tissue increase and the beams become eventually more like Gaussian beams in the far-field under the influence of the turbulence biological tissues. Also, the numerical results proved that the effective beam spot radius increases as turbulence, wavelength, and propagation distance are increasing.Ultimately, the beams become circular under the influence of the turbulence of the biological tissue.As found that the effective beam spot radius along the x-axis becomes equal to that of the y-axis in high TBT which explain why an elliptical LG beam is converted into a circular one in higher structural constant of the turbulent tissue. Moreover, our results show that, the influence of the beam order m slightly greater than that of l on the beam spreading.