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Construction of asymptotic solutions to scattering problems in the fourier transform representation

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Summary

It is shown that the construction of a high-frequency asymptotic solution for the problem of a slit can be greatly simplified in the Fourier transform representation. This is accomplished by iterative solution of a pair of coupled integral equations whose kernels are the Green's functions for two isolated half planes.

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Authors and Affiliations

  1. Department of Electrical Sciences, State University of New York at Stony Brook, New York, USA

    Richard B. Kieburtz

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  1. Richard B. Kieburtz
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Additional information

Part of the results given in this paper were presented at the USNC-URSI Spring Meeting held in Washington, D. C. in May, 1964.

The author was with the Department of Electrical Engineering, New York University, when the research reported here was performed.

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Kieburtz, R.B. Construction of asymptotic solutions to scattering problems in the fourier transform representation. Appl. Sci. Res. 12, 221–234 (1965). https://doi.org/10.1007/BF00382123

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  • DOI: https://doi.org/10.1007/BF00382123

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