Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation

doi:10.1088/1009-1963/16/1/025

中国物理B ›› 2007, Vol. 16 ›› Issue (1): 143-147.doi: 10.1088/1009-1963/16/1/025

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation

王备战¹, 赵志国¹, 吕百达², 段开椋²

(1)Department of Physics, Luoyang Normal College, Luoyang 471022, China; (2)Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

收稿日期:2006-01-18 修回日期:2006-06-05 出版日期:2007-02-01 发布日期:2007-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10574097).

Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation

Wang Bei-Zhan(王备战)^a), Zhao Zhi-Guo(赵志国)^a)b)^†, Lü Bai-Da(吕百达)^b), and Duan Kai-Liang(段开椋)^b)

^a Department of Physics, Luoyang Normal College, Luoyang 471022, China; ^b Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

Received:2006-01-18 Revised:2006-06-05 Online:2007-02-01 Published:2007-02-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10574097).

摘要/Abstract

摘要： Starting from the vectorial Rayleigh--Sommerfeld integrals, the free-space propagation expressions for vectorial Hermite--Laguerre--Gaussian (HLG) beams beyond the paraxial approximation are derived. The far-field expressions and the scalar paraxial results are given as special cases of our general expressions. The intensity distributions of vectorial nonparaxial HLG beams are studied and illustrated with numerical examples.

Abstract: Starting from the vectorial Rayleigh--Sommerfeld integrals, the free-space propagation expressions for vectorial Hermite--Laguerre--Gaussian (HLG) beams beyond the paraxial approximation are derived. The far-field expressions and the scalar paraxial results are given as special cases of our general expressions. The intensity distributions of vectorial nonparaxial HLG beams are studied and illustrated with numerical examples.

Key words: vectorial nonparaxial Hermite--Laguerre--Gaussian beam, vectorial Rayleigh--Sommerfeld integrals, propagation

中图分类号: (General laser theory)

42.55.Ah

02.60.Jh (Numerical differentiation and integration) 42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)

王备战, 赵志国, 吕百达, 段开椋. Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation[J]. 中国物理B, 2007, 16(1): 143-147.

Wang Bei-Zhan(王备战), Zhao Zhi-Guo(赵志国), Lü Bai-Da(吕百达), and Duan Kai-Liang(段开椋). Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation[J]. Chinese Physics, 2007, 16(1): 143-147.

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Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation

Vectorial Hermite--Laguerre--Gaussian beams beyond the paraxial approximation

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