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Title: On the derivation of the Green's function for the Helmholtz equation using generalized functions
Contributor(s): Schmalz, Jelena  (author); Schmalz, Gerd  (author)orcid ; Gureyev, Timur  (author)orcid ; Pavlov, Konstantin M  (author)orcid 
Publication Date: 2010
DOI: 10.1119/1.3253655
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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.
Publication Type: Journal Article
Source of Publication: American Journal of Physics, 78(2), p. 181-186
Publisher: American Association of Physics Teachers
Place of Publication: United States of America
ISSN: 0002-9505
Field of Research (FOR): 020399 Classical Physics not elsewhere classified
010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
Socio-Economic Objective (SEO): 970101 Expanding Knowledge in the Mathematical Sciences
970102 Expanding Knowledge in the Physical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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Appears in Collections:Journal Article
School of Science and Technology

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