A A R Neves et al 2006 J. Phys. A: Math. Gen. 39 L293 doi:10.1088/0305-4470/39/18/L06
A A R Neves, L A Padilha, A Fontes, E Rodriguez, C H B Cruz, L C Barbosa and C L Cesar
Show affiliationsWhen treating problems of vector diffraction in electromagnetic theory, the evaluation of the integral involving Bessel and associated Legendre functions is necessary. Here we present the analytical result for this integral that will make numerical quadrature techniques or localized approximations unnecessary. The solution is presented using the properties of the Bessel and associated Legendre functions.
02.10.De Algebraic structures and number theory
41.20.Jb Electromagnetic wave propagation; radiowave propagation
78A25 Electromagnetic theory, general
33C10 Bessel and Airy functions, cylinder functions, 0F1
78A45 Diffraction, scattering (See also 34E20 for WKB methods)
Issue 18 (5 May 2006)
Received 13 February 2006
Published 19 April 2006
A A R Neves et al 2006 J. Phys. A: Math. Gen. 39 L293
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