The method of left-right splitting is studied for the calculation of electromagnetic fields on a finite, perfectly conducting, corrugated rough surface. Surface currents are evaluated for TE and TM polarizations, both on the rough surface and on an extended surface with a rough patch, and these are compared with results from a finite element time-domain calculation. Very good agreement is obtained with one or two terms in the series. The effect of surface truncation is studied for the two polarizations, together with the reflected and transmitted components to the left and right of the rough surface patch, and the TM polarization is found to be relatively insensitive to the surface truncation.
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