Zamboni-Rached Michel, Recami Erasmo, Balma Massimo
DMO–FEEC, University of Campinas, Campinas, São Paulo, Brazil.
Appl Opt. 2012 Jun 1;51(16):3370-9. doi: 10.1364/AO.51.003370.
In this paper we present a simple and effective method, based on appropriate superpositions of Bessel-Gauss beams, which in the Fresnel regime is able to describe in analytic form the three-dimensional evolution of important waves as Bessel beams, plane waves, gaussian beams, and Bessel-Gauss beams when truncated by finite apertures. One of the by-products of our mathematical method is that one can get in a few seconds, or minutes, high-precision results, which normally require quite lengthy numerical simulations. The method works in electromagnetism (optics, microwaves) as well as in acoustics.
在本文中，我们提出了一种基于贝塞尔 - 高斯光束适当叠加的简单有效方法。在菲涅耳区域，该方法能够以解析形式描述重要波（如贝塞尔光束、平面波、高斯光束以及被有限孔径截断时的贝塞尔 - 高斯光束）的三维演化。我们数学方法的一个附带成果是，通常需要相当长时间的数值模拟才能得到的高精度结果，现在可以在几秒或几分钟内获得。该方法适用于电磁学（光学、微波）以及声学领域。
