English

An analytically simple and computationally efficient Gaussian beam mode-decomposition approach to classical diffraction theory

Optics 2018-10-17 v1

Abstract

We present a method of Gaussian-beam-mode decomposition to calculate classical diffraction of optical beams by apertures. This method offers a entirely different approach to examine the classic problem. Although our method is based on a very straightforward setup, it is surprisingly effective. We validate our method by comparing its results with those of Kirchhoff's full diffraction formula. Not only does our method have a simple and organized analytical framework, it also offers significant computational advantage.

Keywords

Cite

@article{arxiv.1810.06757,
  title  = {An analytically simple and computationally efficient Gaussian beam mode-decomposition approach to classical diffraction theory},
  author = {Zhihao Xiao and R. Nicholas Lanning and Mi Zhang and Irina Novikova and Eugeniy E. Mikhailov and Jonathan P. Dowling},
  journal= {arXiv preprint arXiv:1810.06757},
  year   = {2018}
}
R2 v1 2026-06-23T04:41:00.768Z