Giant resonance and anomalous quality factor scaling in coupled resonator optical waveguides at the degenerate band edge

Abstract

We propose a novel scheme for enhancing the quality factor of coupled resonators optical waveguides (CROWs) when operating near a degenerate band edge (DBE). A DBE is a four-mode exceptional point of degeneracy (EPD) occurring when four Bloch eigenmodes coalesce providing a resonance condition with a giant enhancement in fields. We report an unprecedented scaling law of quality factor of CROWs when operating at the DBE, even in the presence of losses and structural perturbations. Remarkably, the Q factor of the proposed CROW can be engineered to exceed that of a single ring resonator having a diameter equal to the CROW length, hence having an overall strong area reduction. The findings reported in this letter are critical for enhancing fields amplitudes to giant levels and the Q factor of ring resonators and are very beneficial for various applications including four wave mixing, Q switching, lasers, and highly sensitive sensors.

arXiv comment5 pages, 6 Figures

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Cited by in corpus (8)

• Exceptional Points of Degeneracy in Periodic Coupled Waveguides and the Interplay of Gain and Radiation Loss: Theoretical and Experimental Demonstration
• The degenerate band edge laser: a new paradigm for coherent light-matter interaction
• General Conditions to Realize Exceptional Points of Degeneracy in Two Uniform Coupled Transmission Lines
• Exceptional Point of Sixth Order Degeneracy in a Modified Coupled Resonators Optical Waveguide
• Triple Ladder Lumped Circuit with Sixth Order Modal Exceptional Degeneracy
• Low-Threshold Lasing with Frozen Mode Regime and Stationary Inflection Point in Three Coupled Waveguide Structure
• Frozen Mode Regime in an Optical Waveguide With Distributed Bragg Reflector
• Degenerate Distributed Feedback Photonic Structure with Double Grating Exhibiting Degenerate Band Edge