The effect of a discontinuity in curvature in high-frequency scattering
- 1 November 1962
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 10 (6), 775-780
- https://doi.org/10.1109/tap.1962.1137938
Abstract
A plane wave is incident upon a cylindrical surface comprised of two parabolic sections with different curvature at their junction but otherwise smoothly joined, such that the direction of their normals is continuous. The Neumann boundary condition is considered and an asymptotic expansion is obtained for the field on the surface. It is shown that the discontinuity will launch creeping waves on a curved surface, and the actual form of these waves are obtained. The special case where one of the curved surfaces degenerates into a plane is also considered.Keywords
This publication has 3 references indexed in Scilit:
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- Decay exponents and diffraction coefficients for surface waves on surfaces of nonconstant curvatureIEEE Transactions on Antennas and Propagation, 1959
- Zur Formulierung eines allgemeinen Beugungs-problems durch eine IntegralgleichungThe European Physical Journal A, 1949