Use of biorthogonal functions for the modal decomposition of multimode beams

Authors
Borghi, R Piquero, G Santarsiero, M
Citation
R. Borghi et al., Use of biorthogonal functions for the modal decomposition of multimode beams, OPT COMMUN, 194(4-6), 2001, pp. 235-242
Citations number
33
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Optics & Acoustics
Journal title
OPTICS COMMUNICATIONS
ISSN journal
00304018 → ACNP
Volume
194
Issue
4-6
Year of publication
2001
Pages
235 - 242
Database
ISI
SICI code
0030-4018(20010715)194:4-6<235:UOBFFT>2.0.ZU;2-P
Abstract
From a recently proposed technique, used to determine the modal weights of beams made up of incoherent superpositions of Hermite-Gaussian (PIG) modes, we derive the analytical expression of a family of functions which are bio rthogonal to the squared HG functions. The knowledge of such functions enab les the reconstruction of the modal content of these beams by means of the scalar-product with the intensity profile across a transverse plane. (C) 20 01 Elsevier Science B.V. All rights reserved.