Vectorial structure of a hard-edged-diffracted four-petal Gaussian beam in the far field
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.
Keywords
Cite
@article{arxiv.1004.4786,
title = {Vectorial structure of a hard-edged-diffracted four-petal Gaussian beam in the far field},
author = {Xuewen Long and Keqing Lu and Yuhong Zhang and Jianbang Guo and Kehao Li},
journal= {arXiv preprint arXiv:1004.4786},
year = {2015}
}