Boundary element analysis of dielectric waveguides

Area of Science:

• Photonics and Optical Engineering
• Computational Electromagnetics

Background:

• Optical waveguides are crucial components in modern photonics.
• Minimizing reflection at waveguide facets is essential for device efficiency.
• Existing numerical methods for waveguide analysis can be computationally intensive.

Purpose of the Study:

• To develop an efficient numerical method for analyzing optical waveguides.
• To introduce a novel recursive series procedure for matrix element calculation.
• To demonstrate the application of the method in minimizing reflection from antireflection coatings.

Main Methods:

• Application of the boundary element method (BEM) for optical waveguide analysis.
• Implementation of constant and linear element algorithms for 2D and 3D simulations.
• Development of a new recursive series procedure for constructing diagonal matrix elements.

Main Results:

• The proposed BEM approach provides an efficient means for optical waveguide simulation.
• The recursive series procedure simplifies the construction of matrix elements.
• The method successfully minimizes reflectivity in optical waveguide antireflection coatings with straight and angled facets.

Conclusions:

• The presented boundary element method is a viable and efficient tool for optical waveguide analysis.
• The novel recursive series procedure offers computational advantages.
• This method holds promise for designing high-performance optical waveguide devices with reduced reflection.