Abstract
We introduce a concept of a $k$-zero mode, an electromagnetic wave with a nonzero group velocity $(\ensuremath{\partial}\ensuremath{\omega}/\ensuremath{\partial}k\ensuremath{\ne}0)$ but a null phase gradient $(k=0)$. Existence conditions of $k$-zero modes are discussed. We emphasize that the existence of $k$-zero modes is closely related to the the unique nonzero lateral displacement when reflected from a magneto-optical (MO) medium at normal incidence. Consequently, the waveguide should be suitably designed to avoid a destructive interference between the lateral displacements at different MO-dielectric interfaces. Numerical full-field simulation proves our analysis. The importance of this study is discussed.
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