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On the representation of two-dimensional scalar wave fields in the complex plane

AuthorsNieto Vesperinas, Manuel
Issue Date1984
PublisherAmerican Institute of Physics
CitationJournal of Mathematical Physics 25: 1592-1598 (1984)
AbstractScalar wave fields satisfying the Helmholtz equation in two dimensions are represented by means of a complex variable associated with the two-dimensional physical plane. This characterizes the wave functions as generalizations of analytic functions, which allows the existence of a generalized Cauchy integral formula constituting the nucleus of well-known theorems of optics such as the theorem of Helmholtz and Kirchhoff and the Ewald - Oseen extinction theorem. It also seems useful in the interpretation of inverse diffraction and scattering problems. © 1984 American Institute of Physics.
Identifiersdoi: 10.1063/1.526280
issn: 0022-2488
Appears in Collections:(CFMAC-IO) Artículos
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