Rodríguez-Lara B M
Institute of Photonic Technologies, National Tsing-Hua University, Hsinchu 300, Taiwan.
J Opt Soc Am A Opt Image Sci Vis. 2010 Feb 1;27(2):327-32. doi: 10.1364/JOSAA.27.000327.
The normalization of energy divergent Weber waves and finite energy Weber-Gauss beams is reported. The well-known Bessel and Mathieu waves are used to derive the integral relations between circular, elliptic, and parabolic waves and to present the Bessel and Mathieu wave decomposition of the Weber waves. The efficiency to approximate a Weber-Gauss beam as a finite superposition of Bessel-Gauss beams is also given.
报道了能量发散的韦伯波和有限能量韦伯 - 高斯光束的归一化。利用著名的贝塞尔波和马蒂厄波来推导圆形、椭圆形和抛物线形波之间的积分关系,并给出韦伯波的贝塞尔波和马蒂厄波分解。还给出了将韦伯 - 高斯光束近似为贝塞尔 - 高斯光束的有限叠加的效率。