Husimi functions for coupled optical resonators.

Area of Science:

• Optics and Photonics
• Resonant Systems Analysis
• Computational Physics

Background:

• Phase-space analysis is a traditional tool for studying optical resonant systems, primarily for far-field behavior.
• Existing methods for analyzing coupling in resonant systems can be computationally intensive.
• Understanding coupling mechanisms is crucial for designing efficient optical devices.

Purpose of the Study:

• To explore the applicability of phase-space analysis to optical coupling problems.
• To develop a framework for using phase-space descriptions of resonant modes and sources to understand coupling.
• To demonstrate a method for approximating coupling behavior with reduced computational effort.

Main Methods:

• Utilized phase-space analysis to describe both the resonant mode and the exciting source.
• Developed a theoretical framework for applying phase-space concepts to coupling phenomena.
• Applied the developed framework to a specific system: an asymmetric dielectric resonator coupled to a waveguide.

Main Results:

• Phase-space analysis provides valuable insights into the coupling mechanisms of optical resonant systems.
• The proposed method allows for an approximation of coupling behavior.
• Reduced computational effort is achieved compared to traditional methods.

Conclusions:

• Phase-space analysis is a powerful and efficient tool for investigating coupling in optical resonant systems.
• This approach offers a new perspective for analyzing and designing coupled optical devices.
• The framework is validated by its successful application to a dielectric resonator-waveguide system.