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On Radlow's quarter‐plane diffraction solution
Author(s) -
Albani Matteo
Publication year - 2007
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2006rs003528
Subject(s) - diffraction , quarter (canadian coin) , plane (geometry) , mathematics , function (biology) , field (mathematics) , boundary (topology) , mathematical analysis , boundary value problem , physics , geometry , optics , pure mathematics , archaeology , evolutionary biology , biology , history
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.