Abstract
<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> Experimental and theoretical approaches to verify the validity of the incremental theory of diffraction (ITD) are considered. After providing a simple recipe for the application of the ITD, three geometries are examined for its validation. First, the ITD formulation of the diffraction from a perfect electric conductor (PEC) straight wedge is compared with the uniform theory of diffraction (UTD) and with measurement results. Second, the ITD formulation of the diffraction from a PEC disc is compared with measurement results and with the exact solution of a boundary value problem involving oblate spheroidal functions. Third, the ITD formulation of the diffraction from a hole in a PEC plane is compared with the exact solution of a boundary value problem involving oblate spheroidal functions. In particular, this is the first time that ITD results for diffraction from the disc and hole in a plane geometries are validated using exact solutions computed at a caustic. In all cases examined, very good agreement is found. </para>
Highlights
T HE Incremental Theory of Diffraction [1] (ITD) is an extension of the well-known Uniform Theory of Diffraction (UTD)[2]
This paper presented independent methods to validate the single diffraction ITD in the case of the geometry of the straight wedge, the circular disc, and a hole in a plane
This paper is important because it shows, for the first time, comparisons of the ITD with measurement results. It shows a validation by a comparison with exact analytical formulations of the diffraction by a disc and a hole in a plane due to a dipole located along the axis of symmetry
Summary
T HE Incremental Theory of Diffraction [1] (ITD) is an extension of the well-known Uniform Theory of Diffraction (UTD)[2]. The results provided by this theory are in most cases equivalent to those computed using the UTD; the only cases in which they differ are close to and at caustic points. In this latter situation, the ITD provides the correct evaluation of the fields, as it will be shown by comparison with the exact solution of a boundary value problem involving oblate spheroidal functions. For the disc geometry and the hole in a plane geometry, comparisons with the exact solutions of boundary value problems show that the ITD provides correct values close to and at caustics
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