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Transverse magnetic plane-wave scattering from finite rectangular grooves in a conducting plane is systematically analyzed with the overlapping T-block method. Multiple rectangular grooves are divided into several overlapping T-blocks to obtain the fast CPU time, simple applicability, and wide versatility. The field representations within T-blocks are expressed using the Green's function relation and mode-matching method. The scattered fields are obtained in simple closed forms including a fast-convergent integral.
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Yong Heui Cho (2006) studied this question.
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