截断高斯-谢尔模型光束聚焦特性的快速分析

基金项目:

国家自然科学基金资助项目

详细信息

Fast analysis for focusing of partially coherent Gaussian-Schell model beam through circular lens with finite aperture

摘要: 以圆形函数可近似展开为有限数目的复高斯函数叠加为基础,推导出部分相干高斯谢尔模型(GSM)光束通过圆形光阑透镜的轴上聚焦光强分布的解析计算公式,并与衍射积分方法所得的结果进行比较分析。结果表明,复高斯函数叠加的方法能极大地提高计算效率。
- 高斯-谢尔模型(GSM)光束 /
- 圆形光阑透镜 /
- 复高斯函数 /
- 焦移
Abstract: Based on the fact that circ function can be expanded by an approximate sum of complex Gaussian functions with finite numbers,the analytical formula for the axial intensity distribution of a partially coherent Gaussian Schell model(GSM)beam through a circular lens with finite aperture was derived.The calculation was made and its results were compared to those of the diffracted integral.The result shows that our method can improve the calculation efficiency.
- Gaussian Schell model(GSM)beam /
- circular lens with finite aperture /
- complex Gaussian function /
- focal

[1]	Starikov A,Wolf E. J O S A,1982,72:923～928.
[2]	Friberg A T,Jsodol R. Opt Commun,1982,41:383～387.
[3]	Friberg A T,Turnuen J. J O S A,1988,5(5):713.
[4]	Lu B D,Zhang B. J Mod Opt,1995,42(2):289.
[5]	Ding D,Liu X. J O S A,1999,16(6):1286～1293.
[6]	Wen J,Breazeale M A. J A S A,1988,83:1752～1756.
[7]	Erdelyi A,Magnus W,Oberhettinger F et al.Table of integral transforms. NewYork:McGraw-Hill,1954.
[8]	Li Y,Wolf E. Opt Commun,1982,42(3):151～156.
[9]	Li Y,Wolf E. Opt Commun,1982,42(4):211～215.