A more approximate green's function for the electric field vector with anisotropic properties

In this study, approximate Green's functions for a vector equation for the electric field with anisotropic dielectric permittivity and magnetic permeability is obtained by means of homotopy perturbation method (HPM). The HPM deforms the nonlinear partial differential equations to a system of manageable partial differential equations. These systems become amenable to analytical solutions which have been expressed in the form of an infinite power series. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear problems. © 2012 VSP.238702 FP7 People: Marie-Curie Actions, PEOPLEThe authors would like to thank the anonymous referee for his or her valuable comments and discussions. The second author would also like to thank the EU FP7 People Marie Curie ITN ‘Fronts and Interfaces in Science and Technology’ (Grant Agreement Number 238702) for its support. -