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Search for Solutions in the Form of Asymptotic Expansions

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Asymptotic Methods in Electromagnetics

Abstract

The geometrical theory of diffraction, or GTD, was originally developed by starting from the general concepts presented in Chap. 1, viz., the localization principle; the generalized Fermat’s principle; linear phase variation along a ray; power conservation in a tube of rays; and, polarization conservation. The GTD relies upon the known asymptotic solutions of canonical problems and these solutions play a two-fold role — they help validate the enunciated principles and enable us to determine the diffraction coefficients as well. We saw in Chap. 1 that, in a majority of cases, this approach not only provides useful tools for calculating the fields diffracted by an object, but also helps us to physically interpret the results in terms of rays.

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References

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© 1997 Springer-Verlag Berlin Heidelberg

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Bouche, D., Molinet, F., Mittra, R. (1997). Search for Solutions in the Form of Asymptotic Expansions. In: Asymptotic Methods in Electromagnetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60517-8_2

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  • DOI: https://doi.org/10.1007/978-3-642-60517-8_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64440-5

  • Online ISBN: 978-3-642-60517-8

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