Use of biorthogonal functions for the modal decomposition of multimode beams
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2001
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Elsevier Science BV
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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 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.