UTD solution for the diffraction by an anisotropic impedance wedge at arbitrary skew incidence: numerical matching...

Area of Science:

• Electromagnetics and Wave Propagation
• Computational Electromagnetics
• Diffraction Theory

Background:

• Calculating electromagnetic fields diffracted by complex geometries, such as anisotropic impedance wedges, is crucial for various applications.
• Existing methods like the uniform geometrical theory of diffraction (UTD) have limitations, especially for arbitrary skew incidence.
• The Maliuzhinets method provides a framework but requires adaptation for anisotropic materials and non-standard incidence angles.

Purpose of the Study:

• To develop a robust numerical matching method (NMM) for computing diffraction fields by anisotropic impedance wedges.
• To extend the applicability of UTD to arbitrary skew incidence angles.
• To provide accurate and uniformly behaving electromagnetic field solutions.

Main Methods:

• A numerical matching method (NMM) is proposed within the uniform geometrical theory of diffraction (UTD) framework.
• Coupled integral equations are transformed into coupled difference equations, similar to Maliuzhinets methods.
• Spectral functions are derived numerically by solving algebraic equations and utilizing the asymptotic waveform evaluation (AWE) technique for rapid extrapolation.

Main Results:

• The NMM successfully builds spectral functions for computing diffraction fields by anisotropic impedance wedges at arbitrary skew incidence.
• The method provides UTD solutions that are accurate far beyond the limits of perturbation approaches.
• Numerical examples demonstrate a uniform behavior of the diffracted field across the observation angle space (0°-90°).

Conclusions:

• The proposed NMM, integrated with UTD, offers a powerful tool for analyzing electromagnetic diffraction by anisotropic impedance wedges.
• This method overcomes limitations of previous techniques, enabling accurate field computation for a wide range of skew incidence angles.
• The findings contribute to more precise electromagnetic modeling in complex scenarios.