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arXiv · 1004.4786

Vectorial structure of a hard-edged-diffracted four-petal Gaussian beam in the far field

Xuewen Long·Keqing Lu·Yuhong Zhang·Jianbang Guo·Kehao Li
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Abstract

Based on the vector angular spectrum method and the stationary phase method and the fact that a circular aperture function can be expanded into a finite sum of complex Gaussian functions, the analytical vectorial structure of a four-petal Gaussian beam (FPGB) diffracted by a circular aperture is derived in the far field. The energy flux distributions and the diffraction effect introduced by the aperture are studied and illustrated graphically. Moreover, the influence of the f-parameter and the truncation parameter on the nonparaxiality is demonstrated in detail. In addition, the analytical formulas obtained in this paper can degenerate into un-apertured case when the truncation parameter tends to infinity. This work is beneficial to strengthen the understanding of vectorial properties of the FPGB diffracted by a circular aperture.

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Xuewen Long, Keqing Lu, Yuhong Zhang, Jianbang Guo, Kehao Li. 2010-04-27. Vectorial structure of a hard-edged-diffracted four-petal Gaussian beam in the far field. https://doi.org/10.1016/j.optcom.2010.06.097

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