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Radiation pattern of rectangular patch antenna with curved surface

In this paper, we analyze radiation pattern of a rectangular patch antenna with curved surface by means of mathematical approach. Aperture size of the curved patch is equivalently reduced in comparison with a flat surface patch antenna, so that its antenna gain slightly decreases and beam-width broadens. Because electrical size of patch is generally small, it is adequate to employ numerical calculation approach such as Method of Moment. However we try to employ analytical approach, Aperture Field Method, to the curved rectangular patch element. The radiation pattern is found to be expressed by Fresnel integral since phase distribution of main two slots can be approximated to quadratic shape.