pure and applied geophysics

, Volume 85, Issue 1, pp 140–152 | Cite as

Diffraction of an arbitrary wave due to a half plane

  • Santi Priya Das Gupta


Diffraction problems of an arbitrary wave by a half plane is solved exactly with the help of the integral equation technic. The solution is made to depend on a simple real quadrature which readily evaluates in exact forms, for different complicated type of incident fields. The method is supposed to produce new results, some of which are placed in the paper. The problem of Sommer-feld's plane wave diffraction is also solved as a very simple special case.


Integral Equation Plane Wave Half Plane Exact Form Wave Diffraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    S. N. Karp,Wiener-Hopf technic of mixed boundary value problems, Comm. Pure Appl. Maths.10 (1957), 316–326.Google Scholar
  2. [2]
    B. Noble,Methods of Wiener-Hopf technique (Pergamon Press, 1958).Google Scholar
  3. [3]
    E. T. Copson,On the problem of an electrified disk, Proc. Edin. Math. Soc.8 (1947), 14–19.Google Scholar
  4. [4]
    I. W. Busbridge,Dual integral equations, Proc. Lond. Math. Soc.44 (1938), 115.Google Scholar
  5. [5]
    C. J. Tranter,Integral transforms in mathematical physics (Methuen, 1951).Google Scholar
  6. [6]
    B. Noble,Certain dual integral equations, J. Math. Phys.37 (1958), 128–136.Google Scholar
  7. [7]
    W. E. Williams,The solution of certain dual integral equations, Proc. Edin. Math. Soc.12 (1961). 213–216.Google Scholar
  8. [8]
    A. E. Green andW. Zerna,Theoretical elasticity (Oxford 1954).Google Scholar
  9. [9]
    A. E. Green andH. England,Some two dimensional punch and crack problems, Proc. Cambr. Phil. Soc.52 (1963), 489–500.Google Scholar
  10. [10]
    Ia. S. Ufliand,Integral transforms and application to theory of elasticity (Moscow 1962).Google Scholar

Copyright information

© Birkhäuser Verlag 1971

Authors and Affiliations

  • Santi Priya Das Gupta
    • 1
  1. 1.River Research Institute, HaringhataIndia

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