Approximation of certain functions given by integrals with highlyoscillatory integrands |
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Authors: | Drachman B. Ross J. Nyquist D. |
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Affiliation: | Dept. of Math., Michigan State Univ., East Lansing, MI; |
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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 |
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