On the use of Kontorovich-Lebedev transform in electromagnetic diffraction by an impedance cone

Mohamed Salem, Aladin Hassan Kamel, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

7 Scopus citations

Abstract

We consider the boundary-value problem for the Helmholtz equation connected with an infinite circular cone with an impedance boundary on its face. The scheme of solution includes applying the Kontorovich-Lebedev (KL) transform to reduce the problem to that of a KL spectral amplitude function satisfying a singular integral equation of the non-convolution type with a variable coefficient. The singularities of the spectral function are deduced and representations for the field at the tip of the cone and in the near and far field regions are given together with the conditions of validity of these representations. © 2012 IEEE.
Original languageEnglish (US)
Title of host publication2012 International Conference on Mathematical Methods in Electromagnetic Theory
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages423-426
Number of pages4
ISBN (Print)9781467344791
DOIs
StatePublished - Aug 2012

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