Elegant Ince–Gaussian beams in a quadratic-index medium

doi:10.1088/1674-1056/20/9/094202

中国物理B ›› 2011, Vol. 20 ›› Issue (9): 94202-094202.doi: 10.1088/1674-1056/20/9/094202

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

Elegant Ince–Gaussian beams in a quadratic-index medium

白志勇, 邓冬梅, 郭旗

Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal University, Guangzhou 510631, China

收稿日期:2011-03-09 修回日期:2011-03-23 出版日期:2011-09-15 发布日期:2011-09-15

Elegant Ince–Gaussian beams in a quadratic-index medium

Bai Zhi-Yong(白志勇), Deng Dong-Mei(邓冬梅), and Guo Qi(郭旗)^†

Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal University, Guangzhou 510631, China

Received:2011-03-09 Revised:2011-03-23 Online:2011-09-15 Published:2011-09-15

摘要/Abstract

摘要： Elegant Ince—Gaussian beams, which are the exact solutions of the paraxial wave equation in a quadratic-index medium, are derived in elliptical coordinates. These kinds of beams are the alternative form of standard Ince—Gaussian beams and they display better symmetry between the Ince-polynomials and the Gaussian function in mathematics. The transverse intensity distribution and the phase of the elegant Ince—Gaussian beams are discussed.

Abstract: Elegant Ince—Gaussian beams, which are the exact solutions of the paraxial wave equation in a quadratic-index medium, are derived in elliptical coordinates. These kinds of beams are the alternative form of standard Ince—Gaussian beams and they display better symmetry between the Ince-polynomials and the Gaussian function in mathematics. The transverse intensity distribution and the phase of the elegant Ince—Gaussian beams are discussed.

Key words: elegant Ince—Gaussian beams, complex variables, quadratic-index media, elliptic coordinates

中图分类号: (Wave propagation, transmission and absorption)

42.25.Bs

42.65.-k (Nonlinear optics) 42.65.Tg (Optical solitons; nonlinear guided waves)

白志勇, 邓冬梅, 郭旗. Elegant Ince–Gaussian beams in a quadratic-index medium[J]. 中国物理B, 2011, 20(9): 94202-094202.

Bai Zhi-Yong(白志勇), Deng Dong-Mei(邓冬梅), and Guo Qi(郭旗) . Elegant Ince–Gaussian beams in a quadratic-index medium[J]. Chin. Phys. B, 2011, 20(9): 94202-094202.

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Elegant Ince–Gaussian beams in a quadratic-index medium

Elegant Ince–Gaussian beams in a quadratic-index medium

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