Coupling coefficients of mismatched and misaligned Gauss–Hermite and Gauss–Laguerre beams

Abstract
The coupling coefficients of two misaligned and mismatched sets of Gauss–Laguerre (Gauss–Hermite) modes are calculated by using the generating function of the Hermite polynomials. Knowledge of these coefficients is important in calculating the sensitivity of low-gain lasers to the misalignment of the optical resonators, an example being provided by free-electron-laser devices built on storage rings.

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