Propagation of Left- and Right-Circularly Polarized Electromagnetic Waves across a Chiral/Achiral Interface under Variable Magnetic Permeability with Dielectric loss

Investigation of modal electromagnetic propagation across magnetic chiral interfaces without and with dielectric loss

“…It turns out that whenever critical angles are encountered relative to a CAC interface (tied to a hypothetical ACC), the TIR and evanescence effects apply not to the transmitted modes, but in fact to the reflected modes (which exist inside the chiral region). This emergence of evanescent or decaying reflected fields have been found in earlier work, 6,8,11 this behavior counter-intuitive to that under normal TIR conditions (as at achiral or ACC interfaces). Hence this phenomenon may be described as "inverted TIR" (ITIR).…”

“…Next, as is the standard, the usual boundary conditions and phase matching must be carefully applied at the CAC boundary, leading to divergent reflected modes (RCP and LCP) returning back into the chiral side, and copropagating potentially bimodal waves transmitted back into the achiral region. 11,13 Hence, it is clear that the physical analyses of the CAC propagation problem is considerably more complex than that of the ACC; however, knowledge of the ACC behavior provides considerable simplifying guidance toward understanding the CAC behavior. 13,14 Figure 5 shows the interface (the XY-plane), and the propagation is nominally along the z-axis with an incident angles θ i1;2 .…”

“…Considering that the first medium is isotropic and chiral, all the waves propagating on the left will inherently be bimodal (RCP and LCP), albeit the nature of the modality is determined (as discussed above in the ACC context) by possible RCP and LCP evanescence arising from a wave originating in the achiral region preceding the chiral layer in the CAC 9 , 11 , 12 . For the work presented here, we assume circularly polarized incident plane waves (LCP and/or RCP mode) propagating at an oblique angles θi1 and θi2.…”

“…Second, the material parameters associated with the chiral side of CAC must match those of the chiral side of the ACC in order for the angle information to be transferred to the CAC analysis. Next, as is the standard, the usual boundary conditions and phase matching must be carefully applied at the CAC boundary, leading to divergent reflected modes (RCP and LCP) returning back into the chiral side, and copropagating potentially bimodal waves transmitted back into the achiral region 11 , 13 . Hence, it is clear that the physical analyses of the CAC propagation problem is considerably more complex than that of the ACC; however, knowledge of the ACC behavior provides considerable simplifying guidance toward understanding the CAC behavior 13 , 14 …”