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Scattering-theory analysis of waveguide-resonator coupling
1Department of Applied Physics, California Institute of Technology, MS 128-95, Pasadena, California 91125, USA.
Summary
This study analyzes optical waveguide and resonator coupling using quantum scattering theory. It details how coupling affects transmission and reflection, discussing critical coupling and waveguide dispersion relations.
Area of Science:
- Photonics
- Quantum Optics
- Optical Engineering
Background:
- Understanding the interaction between optical waveguides and high Q resonators is crucial for developing advanced photonic devices.
- Existing models may not fully capture the complex coupling dynamics, especially in systems with multiple cavities.
Purpose of the Study:
- To analyze the coupling between optical waveguides and high Q resonators using a quantum scattering theory formalism.
- To derive optical transmission and reflection coefficients based on coupling parameters, cavity loss/gain, and resonant frequency.
- To investigate the concept of critical coupling and the dispersion relation of indirectly coupled resonator optical waveguides.
Main Methods:
- Application of a formalism analogous to quantum scattering theory.
- Derivation of optical transmission and reflection coefficients.
- Utilizing a matrix formalism based on scattering analysis.
Main Results:
- Optical transmission and reflection coefficients are presented as functions of waveguide-resonator coupling, cavity loss (gain), and resonant frequency.
- The concept of critical coupling is discussed in light of the derived coefficients.
- The dispersion relation for indirectly coupled resonator optical waveguides is determined.
- Analysis of coupling between waveguides and multiple cavities, with derived coefficients.
Conclusions:
- The study provides a theoretical framework for understanding and predicting the behavior of coupled optical waveguide-resonator systems.
- The findings are applicable to the design and optimization of photonic devices utilizing critical coupling and complex cavity configurations.
- The developed formalism allows for the investigation of waveguide coupling to multiple cavities, offering insights into advanced optical circuit design.