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Diffraction of a cylindrical pulse by a half plane under mixed boundary conditions

Chakrabarti, A and Sastry, VVSS (1979) Diffraction of a cylindrical pulse by a half plane under mixed boundary conditions. In: Canadian Journal of Physics / Revue canadienne de physique, 57 (9). pp. 1324-1334.

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The general time dependent source problem has been solved by the method of transforms (Laplace, Lebedev–Kontorovich in succession) and the solution is obtained in the form of an infinite series involving Legendre functions. The solutions in the case of harmonic time dependence and the incident plane wave have been derived from the above solution and are presented in the form of an infinite series. In the case of an incident plane wave, the series has been summed and the final solution involves an improper integral which behaves like a complementary error function for large values of the argument. Finally, the far field evaluation has been shown. The results are compared with those of Sommerfeld's half-plane diffraction problem with unmixed boundary conditions.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to NRC Research Press.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Ms TV Yashodha
Date Deposited: 15 Dec 2010 05:29
Last Modified: 15 Dec 2010 05:29
URI: http://eprints.iisc.ac.in/id/eprint/34430

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