Electromagnetic diffraction of an aperture in a planar conducting screen separating partitioned halfspaces
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A vector integro-differential equation is derived for the problem of electromagnetic diffraction by an aperture in a perfectly conducting planar screen that separates two half-spaces which are, themselves, divided into quarter spaces of differing electromagnetic properties by planar interfaces perpendicular to the screen. The aperture/screen is excited by specified sources located on both sides of the screen. Due to the partitioning of the half-spaces, Sommerfeld integrals appear in the integral-equation kernel. The aperture is specialized to be an infinite slot of uniform width subject to TE and TM (to slot axis) illumination, and the resulting slot equations are solved numerically. Data are presented for representative cases of interest.