Generalized Total Internal Reflection at Dynamic Interfaces
arXiv:2208.07759 · doi:10.1103/PhysRevB.107.115129
Abstract
Recent research developments in the area of spacetime metamaterial structures and systems have raised new questions as to how the physics of fundamental phenomena is altered in the presence of spacetime modulation. In this context, we present a generalized and comparative description of the phenomenon of total internal reflection (TIR) at different dynamic interfaces. Such interfaces include, beyond the classical interfaces corresponding to the boundaries of moving bodies (moving interface -- moving matter systems), interfaces formed by a traveling-wave step modulation of an electromagnetic parameter (e.g., refractive index) (moving interface -- stationary matter systems) and fixed interfaces between moving-matter media (stationary interface -- moving matter systems). We first resolve the problem using the evanescence of the transmitted wave as the criterion for TIR and applying the conventional technique of relative frame hopping (between the laboratory and rest frames), which results in closed-form formulas for the relevant critical (incidence, reflection, phase refraction and power refraction) angles. We then introduce the concept of catch-up limit between the dynamic interface and the transmitted wave as an alternative criterion for the critical angle. We use this approach both to analytically verify the critical angle formulas, further validated by full-wave (FDTD) analysis, and to explain the related physics, using Fresnel-Fizeau drag and spacetime frequency transition considerations. These results might find various applications in ultra-fast optics, gravity analogs and quantum processing.
References in corpus (14)
- Fiber-optical analogue of the event horizon
- Revisiting time reversal and holography with spacetime transformations
- Amplified Emission by Atoms and Lasing in Photonic Time Crystals
- Dynamics of light propagation in spatiotemporal dielectric structures
- Fresnel drag in space-time modulated metamaterials
- Nonreciprocal Nongyrotropic Magnetless Metasurface
- Inverse Prism based on Temporal Discontinuity and Spatial Dispersion
- Temporal Brewster angle
- Generalized field-transforming metamaterials
- Wave Deflection and Shifted Refocusing in a Medium Modulated by a Superluminal Rectangular Pulse
- Frequency conversion cascade by crossing multiple space and time interfaces
- Temporal interfaces by instantaneously varying boundary conditions
- Transmission Lines Emulating Moving Media
- Front-induced transitions control THz waves