Modal analysis and design of compound gratings and frequency selective surfaces

This thesis presents a general method for the analysis of transmission and reflection of electromagnetic waves from complex thick/thin metallic frequency selective surfaces (FSS’s), gratings and corrugated surfaces. The method is based on mode-matching using surface impedance boundary conditions and accounts for arbitrary profiles, lossy dielectric fillings/coatings for compound unit cells with multiple apertures. Perturbation theory is applied to include metal losses. In order to represent a complex thick FSS in terms of a network model that facilitates design, the Extended Generalized Scattering Matrix (EGSM) formulation is developed and criteria for resonance, Q and computation reduction are established. With minor modifications, the formulation also allows extension to the aperiodic case. The method is validated against both experiment and models from the literature. Specifically, analysis of simple and compound thick-metal transmission gratings, corrugated surfaces and thin-metal FSS’s in the 30-300 THz frequency range is compared with several other methods and new compound thick-metal FSS results are reported. Agreement with experiment is obtained for a K-band thick FSS with tapered circular holes having similar TE and TM characteristics for scan angles up to ±45◦.

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