Propagation of partially coherent modified Bessel-Gaussian beams passing through an aperture

WU Yun-mei; WANG Li; WANG Xi-qing

In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.As an application example,numerical calculation was performed for partially coherent modified Bessel-Gaussian beams propagating in free space with hard-edge aperture,and the computation errors and application ranges of those analytical equations were discussed.The results show that the method provides the advantage of reduction of computing time and analyzing the propagation property of partially coherent modified Bessel-Gaussian beams through the circular aperture optical systems.The influence of Fressnel number and the truncation parameter on the intensity distributions was also analyzed.

Corresponding author: WANG Xi-qing, xqwang@home.svjtu.edu.cn

1. Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China;

2. Emei School, Southwest Jiaotong University, Emeishan 614202, China

Received Date: 2006-08-29

Accepted Date: 2007-03-13

Available Online: 2007-12-25

Abstract: In order to study the propagation of partially coherent modified Bessel-Gaussian beams passing through a paraxial ABCD optical system with hard-edge aperture,the approximate analytical propagation equation was derived with the hard-edged aperture function expanded into a finite sum of complex Gaussian functions.As an application example,numerical calculation was performed for partially coherent modified Bessel-Gaussian beams propagating in free space with hard-edge aperture,and the computation errors and application ranges of those analytical equations were discussed.The results show that the method provides the advantage of reduction of computing time and analyzing the propagation property of partially coherent modified Bessel-Gaussian beams through the circular aperture optical systems.The influence of Fressnel number and the truncation parameter on the intensity distributions was also analyzed.

HTML

Reference (10)

[1]	LI Y J,WOLF E.Focal shift in diffracted converging spherical waves[J].Opt Commun,1981,39:211～215.
[2]	LI Y J,WOLF E.Focal shift in focused truncated Gaussian beams[J].Opt Commun,1982,42:151～156.
[3]	JIANG H L,ZHAO D M,MEI Zh R.Propagation characteristics of the rectangular flattened Gaussian beams through circular apertured and misaligned optical system[J].Opt Commun,2006,260:1～7.
[4]	JIANG H L,ZHAO D M.Propagation of the Hermite-Gaussian beams through misaligned optics system with a circular aperture[J].Optik,2006,117:215～219.
[5]	WANG X Q,LÜ B D.Propagation expression for cosine-Gaussianbeams through a hard edge aperture[J].Laser Technology,2002,26(3):234～236(in Chinese).
[6]	QING Y S,LÜB D.Propagation of Laguerre-Gaussian beams through an optical system with hard edge aperture[J].Laser Technology,2002,26(3):174～176(in Chinese).
[7]	COLLINS S A.Lens-system diffraction integral written in terms of matrix optics[J].J O S A,1970,60(9):1168～1177.
[8]	WEN J J,BREAZEALE M A.A diffraction beam field expressed as the superposition of Gaussian beams[J].J Acoust Soc Amer,1988,83(5):1752～1756.
[9]	WANG L,WANG X Q,LÜB D.Propagation properties of partially coherent modified Bessel-Gaussian beams[J].Optik,2005,116(2):65～70.
[10]	PONOMARENKO S A.A class of partially coherent beams carrying optical vortices[J].J O S A,2001,A18(1):150～156.

Propagation of partially coherent modified Bessel-Gaussian beams passing through an aperture

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views