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In fact, the dispersion relation for the metal-clad waveguide is identical in form to that for the step-index slab waveguide (24); it is also given by Eqs. (5) and (6), provided that β and n3 in these equations assume complex values. An important feature of the metal-clad waveguide is that it attenuates the TM0 mode much more severely than the other modes. The attenuation constant for the TM0 mode can be larger than that for the TE0 mode by several orders of magnitude (25). This property has been explored for forming polarizers and mode ﬁlters.