Twisted-free ten-parameter family of partially coherent general anisotropic Gaussian Schell model (TF-AGSM) beams

Guilin Ding; Xiao Yuan; Wanlin Wang; Feng Zhao; Jun Zhou; Hongbing Yao

doi:10.1117/12.667332

29 December 2005 Twisted-free ten-parameter family of partially coherent general anisotropic Gaussian Schell model (TF-AGSM) beams

Guilin Ding, Xiao Yuan, Wanlin Wang, Feng Zhao, Jun Zhou, Hongbing Yao

Author Affiliations +

Proceedings Volume 6028, ICO20: Lasers and Laser Technologies; 602820 (2005) https://doi.org/10.1117/12.667332
Event: ICO20:Optical Devices and Instruments, 2005, Changchun, China

Abstract

We investigate the twist properties of the ten-parameter family of partially coherent general anisotropic Gaussian Schell model (AGSM) beams passing through first-order optical systems. By utilizing the generalized Huygens-Fresnel diffraction integral for asymmetric first-order optical systems, the explicit twist expressions for the principal axes of intensity distribution, transverse coherence distribution and the principal curvatures of phase front in the cross-spectral density function of AGSM beams are obtained. In some special cases when the beams are the twist Gaussian Schell-Model, Gaussian Schell-Model, Li-Wolf and Gori-Guattari beams, our results reduce to well known expressions. It is shown that, under some conditions, although the ten parameters are all not zero and any one of the intensity distributions, transverse coherence distribution and the phase front has its independent principal axis, the beam spot does not twist when the beam passing through free-space. As a result, special partially coherent beams called the twisted-free ten-parameter family of partially coherent general anisotropic Gaussian Schell model (TF-AGSM) beams are introduced and their properties are discussed.

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Guilin Ding, Xiao Yuan, Wanlin Wang, Feng Zhao, Jun Zhou, and Hongbing Yao "Twisted-free ten-parameter family of partially coherent general anisotropic Gaussian Schell model (TF-AGSM) beams", Proc. SPIE 6028, ICO20: Lasers and Laser Technologies, 602820 (29 December 2005); https://doi.org/10.1117/12.667332

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KEYWORDS

Free space

Global system for mobile communications

Beam propagation method

Gaussian beams

Matrices

Diffraction

Laser beam propagation

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