Frozen mode in an asymmetric serpentine optical waveguide

Abstract

The existence of a frozen mode in a periodic serpentine waveguide with broken longitudinal symmetry is demonstrated numerically. The frozen mode is associated with a stationary inflection point (SIP) of the Bloch dispersion relation, where three Bloch eigenmodes collapse on each other, as it is an exceptional point of order three. The frozen mode regime is characterized by vanishing group velocity and enhanced field amplitude, which can be very attractive in various applications including dispersion engineering, lasers, and delay lines. Useful and simple design equations that lead to realization of the frozen mode by adjusting a few parameters are derived. The trend in group delay and quality factor with waveguide length that is peculiar of the frozen mode is shown. The symmetry conditions for the existence of exceptional points of degeneracy associated with the frozen mode are also discussed.

References in corpus (4)

• Unidirectional Nonlinear PT-symmetric Optical Structures
• Theory of Coupled Resonator Optical Waveguides (CROW) Exhibiting High Order Exceptional Points of Degeneracy
• Giant Non-reciprocity Near Exceptional Point Degeneracies
• Frozen Mode Regime in Finite Periodic Structures

Cited by in corpus (6)

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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
• The missing link between standing- and traveling-wave resonators