Minimizing finite-size effects in artificial resonance tunneling structures

Area of Science:

• Photonics and Optical Engineering
• Condensed Matter Physics

Background:

• Coupled cavity structures, such as microring resonators, are susceptible to performance degradation due to finite-size effects.
• Traditional methods for mitigating these effects often involve complex numerical optimization, which can be time-consuming and computationally intensive.

Purpose of the Study:

• To develop a simple, analytical approach for minimizing finite-size effects in coupled cavity structures.
• To provide design guidelines for microring resonators that reduce performance losses caused by finite dimensions.

Main Methods:

• Utilized transfer matrices to model microring resonator structures.
• Derived closed-form analytical expressions to identify conditions for minimizing finite-size effects.
• Applied a Breit-Wigner scattering formalism to generalize the technique.

Main Results:

• Identified specific design parameter modifications that effectively minimize finite-size effects.
• Demonstrated that the proposed analytical approach requires only slight adjustments to existing designs.
• Validated the applicability of the method across a general class of coupled cavity structures.

Conclusions:

• The developed analytical technique offers a simple and efficient way to mitigate finite-size effects in coupled cavity systems.
• This approach is broadly applicable to structures described by tight-binding formalisms, including microring resonators.
• The method eliminates the need for numerical optimization, streamlining the design process.