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Articles

Electromagnetic Green’s function for fractional space

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Pages 1903-1910 | Received 11 May 2012, Accepted 27 Jul 2012, Published online: 04 Sep 2012
 

Abstract

A series form of Green’s function (GF) is developed for a fractional dimensional space with dimensions, 1 < D 2. Using this GF and the given charge distribution, the potential on a surface in fractional dimensional space is calculated. With the GF known, the electromagnetic wave propagation and radiation problem for various complex geometries can be solved. It is also shown that the calculated GF reduces to classical results on insertion of integer dimensions.

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