English

On optical Weber waves and Weber-Gauss beams

Optics 2010-01-29 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0911.2295,
  title  = {On optical Weber waves and Weber-Gauss beams},
  author = {B. M. Rodríguez-Lara},
  journal= {arXiv preprint arXiv:0911.2295},
  year   = {2010}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-21T14:10:35.439Z