Generalised Hermite-Gaussian beams and mode transformations
Yi Wang, Yujie Chen, Yanfeng Zhang, Hui Chen, and Siyuan Yu
TL;DR
This paper introduces generalized Hermite-Gaussian (gHG) modes, extending traditional HG modes by incorporating a characteristic function, enabling unified analysis of mode transformations and deformations in optical propagation.
Contribution
It presents a novel framework for gHG modes that unifies HG and LG modes, facilitating analysis of mode transformations under perturbations.
Findings
gHG modes form an infinite orthogonal basis
Enables analysis of mode deformation and transformation
Unifies HG and LG mode descriptions
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 , 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 . 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.
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