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

Jelena Schmalz; Gerd Schmalz; Timur Gureyev; Konstantin M 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 M Pavlov

Research output: Contribution to journal › Article › 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
Journal	American Journal of Physics
Volume	78
Issue number	2
DOIs	https://doi.org/10.1119/1.3253655
Publication status	Published - 2010

Keywords

Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
Classical Physics

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10.1119/1.3253655

https://hdl.handle.net/1959.11/5489

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title = "On the derivation of the Green's function for the Helmholtz equation using generalized functions",

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.",

keywords = "Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory, Classical Physics",

author = "Jelena Schmalz and Gerd Schmalz and Timur Gureyev and Pavlov, \{Konstantin M\}",

year = "2010",

doi = "10.1119/1.3253655",

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AU - Schmalz, Gerd

AU - Gureyev, Timur

AU - Pavlov, Konstantin M

PY - 2010

Y1 - 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.

KW - Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory

KW - Classical Physics

UR - https://www.scopus.com/pages/publications/74249108867

U2 - 10.1119/1.3253655

DO - 10.1119/1.3253655

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SP - 181

EP - 186

JO - American Journal of Physics

JF - American Journal of Physics

IS - 2

ER -

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

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Keywords

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