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Updated: Jul 22, 2025

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Fabrication and Characterization of Superconducting Resonators
Published on: May 21, 2016
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Full analysis on coupling strengths between split ring resonators for double negative microwave tight-binding models
Optics Express
|July 21, 2023
Summary
This study quantifies the coupling between split-ring resonators (SRRs) and complementary split-ring resonators (CSRRs). The findings enable precise microwave structure design and exploration of novel photonic band structures.
Area of Science:
- Electromagnetics and Photonics
- Condensed Matter Physics
- Microwave Engineering
Background:
- Split-ring resonators (SRRs) are known for tuning coupling strengths in hopping models.
- Understanding resonator interactions is crucial for designing advanced electromagnetic structures.
Purpose of the Study:
- To provide a quantitative description of SRR-CSRR coupling for all orientations.
- To develop an efficient method for microwave structure design.
- To explain SRR chain band structures using a microwave-hopping model.
Main Methods:
- Developed a coupling strength estimation using periodic functions and orientation angles.
- Employed a sinusoidal expansion up to the 3rd order.
- Utilized a microwave-hopping model to analyze band structures.
Main Results:
- Achieved a comprehensive quantitative description of SRR-CSRR interactions.
- Demonstrated an efficient method for microwave structure design.
- Provided a satisfactory explanation for the band structure of SRR chains.
Conclusions:
- The proposed method facilitates the design of microwave structures with tunable coupling.
- Enables the exploration of exotic photonic band structures via tight-binding theory.
- Offers a robust framework for understanding coupled resonator systems.
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