Efficient full vectorial mode solver based on orthonormal mode expansion.

Area of Science:

• Photonics and Optical Engineering
• Computational Electromagnetics
• Waveguide Theory

Background:

• Optical waveguide analysis relies on solving Maxwell's equations, often leading to large matrix eigenvalue problems.
• The efficiency of waveguide mode solvers is critically dependent on matrix size, impacting computational cost.

Purpose of the Study:

• To develop a highly efficient full vectorial mode solver for optical waveguides.
• To significantly reduce the matrix size in waveguide mode analysis without compromising accuracy.

Main Methods:

• Proposed an orthonormal mode expansion based full vectorial mode solver.
• Decomposed the full vectorial operator into Hermitian and perturbation parts.
• Utilized orthonormal eigen modes of the Hermitian part as a basis for computation.

Main Results:

• Achieved a significant reduction in matrix size for waveguide mode problems.
• Demonstrated computational savings of up to two orders of magnitude.
• Maintained comparable accuracy to existing methods with the reduced matrix size.

Conclusions:

• The proposed method offers a computationally efficient approach to solving waveguide mode problems.
• This technique can greatly save computational resources and time for analyzing optical waveguides.
• The method provides a practical solution for complex photonic device simulations.