Use of biorthogonal functions for the modal decomposition of multimode beams



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Piquero Sanz, Gemma María and Borghi, Riccardo and Santarsiero, Massimo (2001) Use of biorthogonal functions for the modal decomposition of multimode beams. Optics Communications, 194 (4-6). pp. 235-242. ISSN 0030-4018

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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 biorthogonal to the squared HG functions. The knowledge of such functions enables the reconstruction of the modal content of these beams by means of the scalar-product with the intensity profile across a transverse plane.

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© 2001 Elsevier Science B.V.
We wish to thank Franco Gori for stimulating discussions and Anthony Siegman for useful comments. G.P. thanks supports from project PB97-295, Acción Integrada Hispánico Italiana HI-1998-077, and a grant from “Ayudas Complutense Postdoctorales” program.

Uncontrolled Keywords:Hermite-Gaussian Modes, Laser-Beams, Intensity, Coherence, Field, Quality, Pulses
Subjects:Sciences > Physics > Optics
ID Code:23428
Deposited On:05 Nov 2013 11:32
Last Modified:21 Jun 2022 16:51

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