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Related Experiment Videos

Scattering-theory analysis of waveguide-resonator coupling

Xu1, Li, Lee

  • 1Department of Applied Physics, California Institute of Technology, MS 128-95, Pasadena, California 91125, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|December 2, 2000
PubMed
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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.

Related Experiment Videos

  • 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.