Spectral characteristic of a pulsed hollow Gaussian beam passing through a circular aperture |
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Authors: | Shizhuan Lu Kaiming YouLiezun Chen Zhiping DaiHui Yang |
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Affiliation: | Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421002, Hunan Province, China |
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Abstract: | The spectral characteristics of a pulsed hollow Gaussian beam passing through a circular aperture are studied. Based on the vectorial Rayleigh diffraction integrals, the analytical expressions of the spectra for the complex analytic signal representation and for the complex amplitude envelope representation are derived, respectively, and the comparison between them is made. The influences of the truncation parameter and the beam order on the spectral shifts and on the spectral switches are illustrated. It is shown that the spectrum for the complex analytic signal representation and that for the complex amplitude envelope representation are obvious different as the pulse shorter than an optical period. |
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Keywords: | Spectral switch Pulsed hollow Gaussian beam Complex analytic signal representation |
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