Propagation properties of vectorial elliptical Gaussian beams beyond the paraxial approximation |
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| Authors: | Kailiang Duan Baida Lü |
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| Institution: | a Department of Physics, Luoyang Normal College, Luoyang 471022, China;b Physics Department, Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China;c State Key Laboratory of Laser Technology, Huazhong University of Science & Technology, Wuhan 430074, China |
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| Abstract: | Starting from the vectorial Rayleigh diffraction integral formula and without using the far-field approximation, a solution of the wave equation beyond the paraxial approximation is found, which represents vectorial non-paraxial elliptical Gaussian beams in free space. The far-field expressions for non-paraxial Gaussian beams and elliptical Gaussian beams can be regarded as special cases treated in this paper. Some basic propagation properties of vectorial non-paraxial elliptical Gaussian beams, including the irradiance distribution, phase term, beam widths and divergence angles are studied. Numerical results are given and illustrated. |
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| Keywords: | Non-paraxial vectorial elliptical beam Vectorial Rayleigh diffraction integral Irradiance distribution Divergence angle Beam width |
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