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Diffraction by 90° penetrable wedges with finite conductivity.

G Gennarelli, G Riccio

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|February 25, 2014

Summary

This study presents a high-frequency solution for plane wave diffraction by a 90° wedge made of conductive material. The method provides accurate diffraction coefficients for both inner and outer wedge regions.

Area of Science:

Electromagnetics and Wave Propagation
Diffraction Theory
Computational Electromagnetics

Background:

The diffraction of electromagnetic waves by sharp edges is a fundamental problem in electromagnetics.
Existing high-frequency methods often have limitations regarding material properties or geometric configurations.
Accurate solutions are crucial for applications in antenna design, radar scattering, and microwave engineering.

Purpose of the Study:

To develop a high-frequency analytical solution for plane wave diffraction by a 90° wedge composed of a penetrable material with finite conductivity.
To derive closed-form expressions for the diffraction coefficient applicable to both the interior and exterior regions of the wedge.
To validate the proposed solution against numerical methods for various material loss tangents.

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Main Methods:

Utilizing a physical optics approximation for equivalent electric and magnetic surface currents.
Employing uniform asymptotic evaluations of radiation integrals.
Deriving the diffraction coefficient using the uniform theory of diffraction (UTD) and Fresnel coefficients.

Main Results:

Closed-form expressions for the diffraction coefficient were obtained.
The solution is valid for any loss tangent of the material.
The proposed method effectively calculates diffracted fields in both inner and outer wedge regions.
Comparisons with numerical tools confirmed the accuracy of the analytical solution.

Conclusions:

The physical optics approximation combined with uniform asymptotic evaluation provides an effective high-frequency solution for the 90° wedge diffraction problem.
The derived diffraction coefficients are accurate and broadly applicable, without limitations on material loss.
This work offers a valuable analytical tool for analyzing electromagnetic wave scattering in complex environments.