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Relativistic Hermite polynomials and Lorentz beams

Torre, Amalia, Evans, Andy, El Gawhary, O., Severini, S. (2008) Relativistic Hermite polynomials and Lorentz beams. Journal of Optics A: Pure and Applied Optics, 10 (11). pp. 1-16. ISSN 1464-4258. (doi:10.1088/1464-4258/10/11/115007)

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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.

Item Type: Article
DOI/Identification number: 10.1088/1464-4258/10/11/115007
Additional information: Article no. 115007
Uncontrolled keywords: Hermite polynomials; Gaussian optical beams; paraxial wave equation
Subjects: Q Science
Q Science > QC Physics > QC20 Mathematical Physics
Q Science > QA Mathematics (inc Computing science)
Q Science > QA Mathematics (inc Computing science) > QA351 Special functions
Divisions: Faculties > Sciences > School of Physical Sciences
Depositing User: Alan Evans
Date Deposited: 18 Apr 2009 09:34 UTC
Last Modified: 28 May 2019 13:52 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/14630 (The current URI for this page, for reference purposes)

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