Journal article
On the derivation of the Green's function for the Helmholtz equation using generalized functions
JA Schmalz, G Schmalz, TE Gureyev, KM Pavlov
American Journal of Physics | AIP Publishing | Published : 2010
DOI: 10.1119/1.3253655
Abstract
A method for constructing the Green's function for the Helmholtz equation in free space subject to Sommerfeld radiation conditions is presented. Unlike the methods found in many textbooks, the present technique allows us to obtain all of the possible Green's functions before selecting the one that satisfies the choice of boundary conditions. © 2010 American Association of Physics Teachers.
Grants
Funding Acknowledgements
The first author gratefully acknowledges the support by an Australian Postgraduate Award. All the authors thank D. M. Paganin for stimulating discussions.