DocumentCode
1169842
Title
Approximation of certain functions given by integrals with highly oscillatory integrands
Author
Drachman, Byron ; Ross, John ; Nyquist, Dennis
Author_Institution
Dept. of Math., Michigan State Univ., East Lansing, MI, USA
Volume
42
Issue
9
fYear
1994
fDate
9/1/1994 12:00:00 AM
Firstpage
1355
Lastpage
1356
Abstract
There is often a need to approximate integrals of highly oscillatory functions when studying scattering and diffraction of electromagnetic waves. This paper presents a method of estimating certain types of these integrals by evaluating one interpolating function and performing one or two relatively easy numerical integrations. The method is demonstrated for the case of a Fresnel integral
Keywords
approximation theory; electromagnetic wave diffraction; electromagnetic wave scattering; function approximation; integral equations; integration; interpolation; Fresnel integral; electromagnetic wave diffraction; electromagnetic wave scattering; highly oscillatory integrands; integrals approximation; interpolating function; numerical integration; Acceleration; Electromagnetic diffraction; Electromagnetic scattering; Fresnel reflection; Mathematics; Performance evaluation; Polynomials; Radiofrequency interference; Senior members; Spline;
fLanguage
English
Journal_Title
Antennas and Propagation, IEEE Transactions on
Publisher
ieee
ISSN
0018-926X
Type
jour
DOI
10.1109/8.318659
Filename
318659
Link To Document