English

Generalised Hermite-Gaussian beams and mode transformations

Optics 2016-07-20 v1

Abstract

Generalised Hermite-Gaussian modes (gHG modes), an extended notion of Hermite-Gaussian modes (HG modes), are formed by the summation of normal HG modes with a characteristic function α\alpha, which can be used to unite conventional HG modes and Laguerre-Gaussian modes (LG modes). An infinite number of normalised orthogonal modes can thus be obtained by modulation of the function α\alpha. The gHG mode notion provides a useful tool in analysis of the deformation and transformation phenomena occurring in propagation of HG and LG modes with astigmatic perturbation.

Keywords

Cite

@article{arxiv.1607.05475,
  title  = {Generalised Hermite-Gaussian beams and mode transformations},
  author = {Yi Wang and Yujie Chen and Yanfeng Zhang and Hui Chen and Siyuan Yu},
  journal= {arXiv preprint arXiv:1607.05475},
  year   = {2016}
}

Comments

10 pages, 4 figures

R2 v1 2026-06-22T14:58:14.183Z