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This paper presents a framework for analyzing and designing cylindricalomega-bianisotropic metasurfaces, inspired by mode matching and digital signalprocessing techniques. Using the discrete Fourier transform, we decompose thethe electromagnetic field distributions into orthogonal cylindrical modes andconvert the azimuthally varying metasurface constituent parameters into theirrespective spectra. Then, by invoking appropriate boundary conditions, we setup systems of algebraic equations which can be rearranged to either predict thescattered fields of prespecified metasurfaces, or to synthesize metasurfaceswhich support arbitrarily stipulated field transformations. The proposedframework facilitates the efficient evaluation of field distributions thatsatisfy local power conservation, which is one of the key difficulties involvedwith the design of passive and lossless scalar metasurfaces. It represents apromising solution to circumvent the need for active components, controlledpower dissipation, or tensorial surface polarizabilities in many state-of-theart conformal metasurface-based devices. To demonstrate the robustness and theversatility of the proposed technique, we design several devices intended fordifferent applications and numerically verify them using finite elementsimulations.

A Discrete Fourier Transform-Based Framework for Analysis and Synthesis of Cylindrical Omega-bianisotropic Metasurfaces