Article ID Journal Published Year Pages File Type
5495784 Annals of Physics 2017 34 Pages PDF
Abstract
A group-theoretical approach to the paraxial propagation of Hermite-Gaussian modes based on the factorization method is presented. It is shown that the su(1,1) and the su(2) algebras generate the spectrum of propagation constants at any fixed transversal plane. The complete set of HG modes is decomposed into hierarchies that are used to establish the representation spaces of SU(1,1) and SU(2). The corresponding families of generalized coherent states are constructed and the variances of the quadratures and canonical variables are determined.
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Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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