Generalized Gaussian beams in free space
Authors:
- Riccardo PratesiRPRiccardo Pratesi
- Laura RonchiLRLaura Ronchi
- 1 September 1977
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 67 (9) , 1274-1276
Abstract
A new solution of the paraxially approximated wave equation in free space is presented. It has the form of a Hermite-Gaussian function, where the argument of the Hermite polynomial is generally complex. The usual Gaussian beams where such argument is real and those recently described by Siegman where it is complex but coinciding with that of the Gaussian function are particular cases of the general solution presented here. The application of these generalized from a complex graded-index medium is discussed in detail.Keywords
This publication has 7 references indexed in Scilit:
- Gaussian beam modes by multipoles with complex source points*Journal of the Optical Society of America, 1977
- Beam modes in complex lenslike media and resonatorsJournal of the Optical Society of America, 1976
- Thick-film Liquid Dye LasersOptica Acta: International Journal of Optics, 1976
- Eigenmodes of optical resonators with mirrors having Gaussian reflectivity profilesApplied Optics, 1976
- Generation of complex Gaussian beam modes in beam interaction with a planar dielectric interfaceIEEE Transactions on Antennas and Propagation, 1974
- Optical resonators in the approximation of GaussProceedings of the IEEE, 1974
- Hermite–gaussian functions of complex argument as optical-beam eigenfunctionsJournal of the Optical Society of America, 1973