In this paper, we demonstrate that Radlow’s solution to diffraction by the soft quarter plane is incorrect. We derive an explicit expression for the Wiener-Hopf factorizing function and verify that a nonvanishing term, which was not accounted for by Radlow, arises from a correct evaluation of the field on the quarter plane. Consequently, the field function proposed by Radlow does not satisfy the boundary conditions, and therefore it is not the correct solution to diffraction by a quarter plane.

Albani, M. (2007). On Radlow's quarter-plane diffraction solution. RADIO SCIENCE, 42.

On Radlow's quarter-plane diffraction solution

ALBANI, MATTEO
2007

Abstract

In this paper, we demonstrate that Radlow’s solution to diffraction by the soft quarter plane is incorrect. We derive an explicit expression for the Wiener-Hopf factorizing function and verify that a nonvanishing term, which was not accounted for by Radlow, arises from a correct evaluation of the field on the quarter plane. Consequently, the field function proposed by Radlow does not satisfy the boundary conditions, and therefore it is not the correct solution to diffraction by a quarter plane.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/10222
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