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A general method of obtaining the free space particular solution and the required homogeneous solution decomposition in closed region problems in electromagnetics is described. This allows the singular nature of the kernel function to be handled analytically. The remaining homogeneous solution which is expressed in an eigenfunction series is rapidly convergent. The method should be of particular value in vector integral equation formulations where the dyadic kernel is highly singular. The method is applied to the rectangular cavity dyad.
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Howard et al. (1978) studied this question.
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