Torre, Amalia and Evans, Andy and El Gawhary, O. and 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:https://doi.org/10.1088/1464-4258/10/11/115007) (Full text available)
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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.
|Additional information:||Article no. 115007|
|Uncontrolled keywords:||Hermite polynomials; Gaussian optical beams; paraxial wave equation|
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:||13 Jan 2017 01:47 UTC|
|Resource URI:||https://kar.kent.ac.uk/id/eprint/14630 (The current URI for this page, for reference purposes)|
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