Uniform asymptotic theory of edge diffraction

R.M. Lewis, J. Boersma

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

2 Downloads (Pure)

Abstract

Geometrical optics fails to account for the phenomenon of diffraction, i.e., the existence of nonzero fields in the geometrical shadow. Keller's geometrical theory of diffraction accounts for this phenomenon by providing correction terms to the geometrical optics field, in the form of a high-frequency asymptotic expansion. In problems involving screens with apertures, this asymptotic expansion fails at the edge of the screen and on shadow boundaries where the expansion has singularities. The uniform asymptotic theory presented here provides a new asymptotic solution of the diffraction problem which is uniformly valid near edges and shadow boundaries. Away from these regions the solution reduces to that of Keller's theory. However, singularities at any caustics other than the edge are not corrected.
Original languageEnglish
Title of host publicationSelected Papers on Scalar Wave Diffraction
EditorsK.E. Oughstun
Place of PublicationBellingham WA, USA
PublisherSPIE
Pages306-320
ISBN (Print)0-8194-0833-6
Publication statusPublished - 1992

Publication series

NameSPIE Milestone Series
Volume51

Fingerprint Dive into the research topics of 'Uniform asymptotic theory of edge diffraction'. Together they form a unique fingerprint.

Cite this