Summary
In this paper the three dimensional scattering of a plane and a spherical wave by an arbitrary smooth convex object will be considered.
These problems are solved for large values of frequency by means of ray theory and the theory of boundary layer expansions.
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References
Keller, J.B. Diffraction by a convex cylinder. I.R.E. Trans. Antennes Prop. (1965) AP-4, 312.
Keller, J.B., Lewis, R.M., Seckler, B.D. Asymptotic solution of some diffraction problems. Comm. Pure Appl. Math. (1960), 9, 207.
Buchal, R.N., Keller, J.B. Boundary layer problems in diffraction theory. Comm. Pure Appl. Math. (1960), 13, 85.
Fock, V. A. Electromagnetic diffraction and propagation problems. Pergamon Press (1965).
Landau, L., Lifschitz, E. Physique theorique III: Theorie non relativiste. Editions Mir 1966, Moscou.
Friedlander, F.G., Keller, J.B. Asymptotic expansions of solutions of (∇2+k2)u=0. Comm. Pure. Appl. Math. (1955), 8, 387.
Hermans, A.J. The field of a spherical wave at high frequencies diffracted by a sphere. J. of Eng. Math. (1967), 1, 103.
Kline, M., Kay, J. W. Electromagnetic theory and geometrical optics. Interscience Publ. 1965.
Eisenhart, L. P. An introduction to differential geometry. Princeton University Press 1947.
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Hermans, A.J. Diffraction of a wave at high frequencies by an arbitrary smooth convex object. J Eng Math 2, 141–151 (1968). https://doi.org/10.1007/BF01535555
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DOI: https://doi.org/10.1007/BF01535555