  This paper presents a framework for analyzing and designing cylindrical
omega-bianisotropic metasurfaces, inspired by mode matching and digital signal
processing techniques. Using the discrete Fourier transform, we decompose the
the electromagnetic field distributions into orthogonal cylindrical modes and
convert the azimuthally varying metasurface constituent parameters into their
respective spectra. Then, by invoking appropriate boundary conditions, we set
up systems of algebraic equations which can be rearranged to either predict the
scattered fields of prespecified metasurfaces, or to synthesize metasurfaces
which support arbitrarily stipulated field transformations. The proposed
framework facilitates the efficient evaluation of field distributions that
satisfy local power conservation, which is one of the key difficulties involved
with the design of passive and lossless scalar metasurfaces. It represents a
promising solution to circumvent the need for active components, controlled
power dissipation, or tensorial surface polarizabilities in many state-of-the
art conformal metasurface-based devices. To demonstrate the robustness and the
versatility of the proposed technique, we design several devices intended for
different applications and numerically verify them using finite element
simulations.
