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Numerical simulation for SNAP based on the Numerov method
Optics Express
|August 14, 2026
Summary
We developed an efficient numerical method for modeling Surface Nanoscale Axial Photonics (SNAP) microresonators. This approach accurately simulates complex designs, improving computational speed for advanced photonic applications.
Area of Science:
- Photonics and Optical Engineering
- Computational Physics
- Materials Science
Background:
- Surface Nanoscale Axial Photonics (SNAP) microresonators are key optical devices.
- Their performance relies on nanoscale effective radius variations (ERV).
- Accurate modeling of SNAP devices is crucial for advanced applications.
Purpose of the Study:
- To develop a novel numerical framework for modeling SNAP microresonators.
- To validate the accuracy and efficiency of the proposed method.
- To enable the simulation of complex ERV profiles for advanced device designs.
Main Methods:
- Implementation of the Numerov method for numerical simulation.
- Validation against analytical solutions for known ERV profiles.
- Application to a semiparabolic ERV structure for group delay applications.
Main Results:
- The developed framework shows high accuracy compared to analytical solutions.
- A significant computational efficiency improvement (at least 20x) was achieved.
- Successful modeling of a complex, long semiparabolic ERV structure was demonstrated.
Conclusions:
- The Numerov-based framework offers an efficient and reliable method for SNAP microresonator modeling.
- This approach facilitates the design and optimization of SNAP devices with arbitrary ERV profiles.
- The study advances the simulation capabilities for next-generation photonic devices.
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