Title :
Relations between Hermite and Laguerre Gaussian modes
Author :
Kimel, Isidoro ; Elias, Luis R.
Author_Institution :
Dept. of Phys., Univ. of Central Florida, Orlando, FL, USA
fDate :
9/1/1993 12:00:00 AM
Abstract :
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
Keywords :
laser modes; laser theory; polynomials; Hermite Gaussian modes; Hermite polynomials; Laguerre Gaussian modes; Laguerre polynomial; addition relations; laser modes; laser theory; Apertures; Diffraction; Geometrical optics; Geometry; Laser modes; Mercury (metals); Physics; Polynomials;
Journal_Title :
Quantum Electronics, IEEE Journal of
