Relativistic Hermite polynomials and Lorentz beams

A. Torre, W.A.B. Evans, O El Gawhary, S. Severini

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Abstract

The link between relativistic Hermite polynomials and Lorentz beams is shown. That suggests introducing new optical fields. The paraxial propagation properties of such fields are studied in detail. They are finally put in relation to the so-called Weber-Hermite beams, which emerged within a certain class of general solutions of the 1D paraxial wave equation in Cartesian coordinates as a result of a recent re-analysis of such an equation. © 2008 IOP Publishing Ltd.
Original languageEnglish
Article number115007
Pages (from-to)-
JournalJournal of Optics A: Pure and Applied Optics
Volume10
Issue number11
DOIs
Publication statusPublished - 1 Nov 2008
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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