NDLI: A new explicit solution method for the diffraction through a slit

Content Provider	Springer Nature Link
Author	Gorenflo, N.
Copyright Year	2002
Abstract	The two-dimensional time harmonic problem of diffraction through a slit is considered for arbitrary Dirichlet data, prescribed in the slit; on the screen itself the wavefield satisfies a homogeneous Neumann boundary condition. First of all, a sequence of special Dirichlet data is constructed, for each of these data the resulting wavefield can be expressed in closed form. The sequence can be constructed in a way which yields an orthonormal basis of Dirichlet data. After this has been done, arbitrary Dirichlet data can be expanded into a series of the orthonormal basis functions; this results in a representation for the searched wavefield. The presented method gives a deep insight into the mathematical structure of the problem.
Starting Page	877
Ending Page	886
Page Count	10
File Format	PDF
ISSN	00442275
Journal	Zeitschrift für angewandte Mathematik und Physik
Volume Number	53
Issue Number	5
e-ISSN	14209039
Language	English
Publisher	Birkhäuser Verlag
Publisher Date	2002-09-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Physics and Astronomy

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A new explicit solution method for the diffraction through a slit