Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



On the diffraction of an arbitrary pulse by a wedge or a cone

Author: Lu Ting
Journal: Quart. Appl. Math. 18 (1960), 89-92
MSC: Primary 78.00
DOI: https://doi.org/10.1090/qam/112576
MathSciNet review: 112576
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Abstract: By virtue of Green's Theorem, it is shown that for the diffraction of an arbitrary two-dimensional incident pulse by a wedge of angle $ \mu $, the ratio of the resultant velocity potential to the corresponding value of the incident pulse at the corner of the wedge at any instant is equal to $ 2\pi /(2\pi - \mu )$; and that for the diffraction of a three-dimensional pulse by a cone of solid angle $ \omega $, the ratio at the vertex of the cone is equal to $ 4\pi /(4\pi - \omega )$.

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DOI: https://doi.org/10.1090/qam/112576
Article copyright: © Copyright 1960 American Mathematical Society

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