On a class of complete and incomplete generalized Airy functions and their application to high-frequency scattering and diffraction problems

Author

Constantinides, E.D. ; Marhefka, R.J.

Author_Institution

Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA

fYear

1992

fDate

18-25 June 1992

Firstpage

420

Abstract

The generalized Airy functions and their derivations serve as canonical functions for the uniform asymptotic evaluation of a class of integrals characterized by multiple saddle points that are arbitrarily close to one another or to an integration endpoint. The complete asymptotic representations for this class of functions are rigorously derived, and some scattering and diffraction problems in which they apply are discussed.<>

Keywords

electromagnetic wave diffraction; electromagnetic wave scattering; integral equations; asymptotic representations; canonical functions; complete generalized Airy functions; high-frequency EM diffraction; high-frequency scattering; incomplete generalized Airy functions; integrals; multiple saddle points; Electromagnetic diffraction; Electromagnetic scattering; Equations; Geometrical optics; Laboratories; Optical diffraction; Optical scattering; Optical sensors; Optical surface waves; Physical optics;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1992. AP-S. 1992 Digest. Held in Conjuction with: URSI Radio Science Meeting and Nuclear EMP Meeting., IEEE

Conference_Location

Chicago, IL, USA

Print_ISBN

0-7803-0730-5

Type

conf

DOI

10.1109/APS.1992.221909

Filename

221909