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Elegant Inceben Gaussian beams in a quadratic-index medium |
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| Authors: | Bai Zhi-Yong Deng Dong-Mei Guo Qi |
| Affiliation: | Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal University, Guangzhou 510631, China;Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal University, Guangzhou 510631, China;Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes, South China Normal University, Guangzhou 510631, China |
| 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 |
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