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.

7 pages, 2 figures with the supplement included

References in corpus (1)

• Transport gap engineering by contact geometry in graphene nanoribbons: Experimental and theoretical studies on artificial materials

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• Frozen Mode Regime in an Optical Waveguide With Distributed Bragg Reflector
• Nonlinear Wavepacket Dynamics in Proximity to a Stationary Inflection Point