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Arbitrary-order three-point finite difference method for the modal analysis of chiral waveguides
Optics Express
|February 25, 2022
Summary
A new finite difference method offers accurate modal analysis for chiral planar waveguides. This efficient tool precisely resolves complex structures in plasmon and photonic crystal waveguides.
Area of Science:
- Electromagnetics and Optics
- Computational Physics
Background:
- Chiral planar waveguides are crucial for advanced optical devices.
- Accurate modal analysis is essential for designing these waveguides.
- Existing methods may struggle with complex material profiles and fine structures.
Purpose of the Study:
- To develop a novel, high-accuracy numerical method for modal analysis of chiral planar waveguides.
- To create a versatile and efficient tool applicable to waveguides with discontinuous properties.
Main Methods:
- A three-point finite difference method is employed.
- Utilizes a nonuniform grid for adaptability.
- Incorporates compact finite difference techniques and boundary conditions.
Main Results:
- The method achieves arbitrary orders of accuracy.
- Demonstrates efficient resolution of fine structures in plasmon and photonic crystal waveguides.
- Achieved stable convergence up to the sixteenth order of accuracy for a chiral-metallic plasmon waveguide.
Conclusions:
- The proposed method is an efficient, implementable, and versatile tool for chiral planar waveguide modal analysis.
- It accurately models waveguides with arbitrary discontinuous profiles.
- The method yields high precision, approaching machine precision with minimal grid points.
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