On the derivation of the Green's function for the Helmholtz equation using generalized functions

Jelena Schmalz; Gerd Schmalz; Timur Gureyev; Konstantin Pavlov

doi:10.1119/1.3253655

On the derivation of the Green's function for the Helmholtz equation using generalized functions

Jelena Schmalz, Gerd Schmalz, Timur Gureyev, Konstantin Pavlov

Research output: Contribution to journal › Article › Research › peer-review

19 Citations (Scopus)

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.

Original language	English
Pages (from-to)	181 - 186
Number of pages	6
Journal	American Journal of Physics
Volume	78
Issue number	2
DOIs	https://doi.org/10.1119/1.3253655
Publication status	Published - 2010

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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.",

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AU - Pavlov, Konstantin

PY - 2010

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AB - 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.

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IS - 2

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On the derivation of the Green's function for the Helmholtz equation using generalized functions

Abstract

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