posted on 2023-01-10, 03:25authored byB. M. Villegas-Martínez, H. M. Moya-Cessa, F. Soto-Eguibar
We propose a rigorous full-wave modal analysis based on the eigenmodes approach (\textquotedblleft supermodes\textquotedblright), that allows the calculation of the transverse electric ($TE$) and transverse magnetic ($TM$) stationary propagation eigenmodes in a coupled $\mathcal{PT}$-symmetric slab waveguide. Our findings show that the group velocity, for the fundamental $TE_{0}$ supermode, passes from superluminal to subluminal speed over both sides of a critical point (CP), located near to the exceptional point (EP). We also demonstrate that the first higher-order supermode, $TE_{1}$, exhibits a slow light phenomenon around the EP.
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