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Fabrication and Characterization of Superconducting Resonators
Published on: May 21, 2016
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Rigorous Theory of Coupled Resonators
1Cardiff University, School of Physics and Astronomy, Cardiff CF24 3AA, United Kingdom.
Physical Review Letters
|January 30, 2026
Summary
Modern theories of coupled open resonators fail for planar systems. A new rigorous theory correctly describes eigenmodes and mode hybridization in 3D dispersive coupled resonators, including planar configurations.
Area of Science:
- Photonics and Optical Physics
- Resonant Cavity Science
- Computational Electromagnetics
Background:
- Modern theories of coupled open resonators rely on tight binding and mode hybridization concepts.
- These theories have been widely applied but exhibit limitations in describing planar systems.
- Planar optical resonators, like dielectric slabs and microcavities, are crucial in various photonic applications.
Purpose of the Study:
- To demonstrate the failure of existing theories for planar coupled open resonators.
- To develop and present a rigorous theory for calculating eigenmodes of 3D dispersive coupled resonators.
- To reveal accurate mode hybridization and supermode formation in coupled resonator systems.
Main Methods:
- Analytical verification of existing theories for simple planar systems.
- Development of a rigorous mathematical framework for arbitrary 3D dispersive coupled resonators.
- Calculation of eigenmodes based on individual resonator modes.
Main Results:
- The study demonstrates the general failure of tight binding and mode hybridization theories for planar coupled resonators.
- A new rigorous theory accurately predicts eigenmodes and mode hybridization.
- The theory reveals the formation of bonding and antibonding supermodes.
Conclusions:
- Existing theories for coupled open resonators are insufficient for planar configurations.
- The presented rigorous theory provides an accurate method for analyzing complex coupled resonator systems.
- This work advances the understanding of light-matter interactions in photonic devices.
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