Elegant Ince–Gaussian beams in a quadratic-index medium

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

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.

Keywords: elegant Ince—Gaussian beams complex variables quadratic-index media elliptic coordinates

Received: 09 March 2011
Revised: 23 March 2011
Accepted manuscript online:

PACS:	42.25.Bs	(Wave propagation, transmission and absorption)
	42.65.-k	(Nonlinear optics)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

Cite this article:

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 2011 Chin. Phys. B 20 094202

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