A UTD solution for the EM diffraction by a corner in a plane angular sector

A new approximate uniform geometrical theory of diffraction (UTD) solution is obtained for describing the field diffracted by a corner (vertex) in a perfectly conducting plane angular sector which is illuminated by a high-frequency electromagnetic plane wave. This corner diffraction solution is found by a uniform asymptotic reduction of the plane wave spectral integral formulation for the field scattered by the plane angular sector. An important aspect to this uniform solution is the presence of a UTD transition function which keeps the total high-frequency field bounded and continuous everywhere in the near field outside the immediate neighborhood of the corner. This UTD solution is also valid in the far zone. The uniform corner diffraction solution is used to calculate the near zone field scattered from a 3 wavelengths square plate.<>