Relations Between Hermite And Laguerre Gaussian Modes
Title - Alternative
IEEE J. Quantum Electron.
Engineering, Electrical & Electronic; Optics; Physics, Applied
Relations between Hermite (HG) and Laguerre (LG) Gaussian modes are derived. With these, a LG mode is written as a sum of HG modes, and vice versa. These mode relations are derived from addition identities between a Laguerre polynomial and a pair of Hermite polynomials. The addition relations are derived in two appendices. One figure illustrates the contents of a LG mode in terms of HG modes while a second figure shows the translation in the opposite direction.
Ieee Journal of Quantum Electronics
Kimel, I. and Elias, L. R., "Relations Between Hermite And Laguerre Gaussian Modes" (1993). Faculty Bibliography. 1540.