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Pulse diffraction by an imperfectly reflecting wedge

Published online by Cambridge University Press:  09 April 2009

V. M. Papadopoulos
V. M. Papadopoulos
Affiliation:
University of Melbourne, Victoria, Australia.
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Abstract

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A similarity method is used to develop a solution of the wave equation within a sector with mixed boundary conditions. In this manner the field which results from the diffraction of an incident pulse of step function time dependence is found.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 2 , Issue 1 , April 1961 , pp. 97 - 106
Copyright
Copyright © Australian Mathematical Society 1961

References

[1]Stoker, J. J., Surface waves in water of variable depth. Q. App. Math. 5, 1, (1947).Google Scholar
[2]Peters, A. S., Water waves over sloping beaches and the solution of a mixed boundary condition for (Δ—k2)φ = in a sector. Comm. Pure App. Math. 5, (87–108). (1952).CrossRefGoogle Scholar
[3]Karp, S. N. and Karal, F.S., Diffraction of a skew plane electromagnetic wave by an absorbing right angled wedge. New York University Inst. Math. Sci. Research Report Em 111 (1958).Google Scholar
[4]Karp, S. N. and Karal, F. S., Vertex-excited surface waves on one face of a right anglewedge. New York University Inst. Math. Sci. Research Report EM 116 (1959).Google Scholar
[5]Karp, S. N., Two dimensional Green's function for a right angled wedge under an impedance boundary condition. New York University Inst. Math. Sci. Research Report EM 129 (1959).Google Scholar
[6]Senior, T. B. A., Diffraction by an imperfectly conducting wedge. Comm. Pure App. Math. 12, (337–372). (1959).CrossRefGoogle Scholar
[7]Goldstein, S. and Ward, G.N., The linearized theory of conical fields in supersonic flow, with applications to plane aerofoils. Aero. Quart. 2, 39. (1950).Google Scholar
[8]Craggs, J. W., The oblique reflexion of sound pulses. Proc. Roy. Soc. A. 237, 373–382. (1956).Google Scholar
[9]Craggs, J. W., The supersonic motion of an aerofoil through a temperature front. J. Fluid. Mech. 3, 176–184. (1957).CrossRefGoogle Scholar
[10]Papadopoulos, V. M., a) The diffraction and refraction of pulses. Proc. Roy. Soc. A. 252 (520–537). (1959).Google Scholar
[11]Papadopoulos, V. M., b) A line source on an interface between two media. J. Fluid. Mech. 82 (41–49) 1960.CrossRefGoogle Scholar
[12]Papadopoulos, V. M., c) The diffraction of an acoustic or electromagnetic pulse by a resistive half-plane. Proc. Roy. Soc. A. 255 (538–557). (1960).Google Scholar
[13]Keller, J. B. and Blank, A., Diffraction and reflexion of pulses by wedges and corners. Comm. Pure App. Math. 4, 75–94. (1951).CrossRefGoogle Scholar
[14]Dantzig, D. van, Solutions of the equation of Helmholtz in an angle with vanishing directional derivatives along each side. Kon. Ned. Ak. v. Wet. Proc. A. 61, No. 4, 384–398. (1958).Google Scholar
[15]Lauwerier, H. A., Solution of the equation of Helmholtz in an angle. Kon. Ned. Ak. v. Wet. Proc. A. 62, No. 5, 475–488. (1959).Google Scholar