Title : ( Green function of the inhomogeneous Helmholtz equation with nonuniform refraction index, using quaternion analysis )
Authors: Seyed Majid Saberi Fathi ,
Full TextAbstract
In this paper we first show in the framework of quaternion analysis how the fundamental solutions of the Dirac operators with vector potential can be obtained. Then, we use the obtained results to present a derivation of the exact analytic Green function for the Helmholtz equation, i.e., (▵+|a(x)|2)G0(x) = δ(x), for the case a(x) is a monogenic (analytic) vector potential.
Keywords
, Green function, inhomogeneous Helmholtz equation, quaternion analysis
@article{paperid:1027558,
author = {Saberi Fathi, Seyed Majid},
title = {Green function of the inhomogeneous Helmholtz equation with nonuniform refraction index, using quaternion analysis},
journal = {Journal of Mathematical Physics},
year = {2010},
volume = {51},
number = {12},
month = {December},
issn = {0022-2488},
pages = {123513--125326},
numpages = {1813},
keywords = {Green function; inhomogeneous Helmholtz equation; quaternion analysis},
}
%0 Journal Article
%T Green function of the inhomogeneous Helmholtz equation with nonuniform refraction index, using quaternion analysis
%A Saberi Fathi, Seyed Majid
%J Journal of Mathematical Physics
%@ 0022-2488
%D 2010
