Frozen Mode Regime in Finite Periodic Structures

Abstract

Periodic structures with Bloch dispersion relation supporting a stationary inflection point (SIP) can display a unique scattering feature, the frozen mode regime (FMR). The FMR is much more robust than common cavity resonances; it is much less sensitive to the boundary conditions, structural imperfections, and losses. Using perturbation theory, we analyze the FMR in the realistic case of a finite fragment of a periodic structure. We show that in close proximity of SIP frequency, the character of the FMR is qualitatively different from the known case of a semi-infinite structure.

arXiv comment7 pages, 2 figures with the supplement included

References in corpus (6)

• Slow light in photonic crystals
• Tight-binding couplings in microwave artificial graphene
• Frozen light in photonic crystals with degenerate band edge
• Unidirectional Lasing Emerging from Frozen Light in Non-Reciprocal Cavities
• Waveguide photonic limiters based on topologically protected resonant modes
• Transport gap engineering by contact geometry in graphene nanoribbons: Experimental and theoretical studies on artificial materials

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• Nonlinear Wavepacket Dynamics in Proximity to a Stationary Inflection Point
• Three-Way Serpentine Slow-Wave Structures with Stationary Inflection Point and Enhanced Interaction Impedance