My paper presents us the theory of polarization duplexing grid with the high power microwave input. First, the new field of HPM has been introduced. Then comes the principle of polarization duplexing grid. In order to get the electromagnetic wave, invoking equivalent principle, the problem domain can be broken up into three regions. And invoking Floquet theorem, the problem domain can be reduced to that of a single cell. In the two outer regions, the solutions have been accessed by the MM method. The solution of the interior problem has been obtained by the FEM method. Ensuring the continuity of the tangential electric field across the aperture plane, the electromagnetic E and H has been gained. A program in Fortran has been written for the design of polarization duplexing grid.
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