Mode analysis of optical waveguides: a new approach

Area of Science:

• Computational physics
• Applied mathematics
• Photonics and optical engineering

Background:

• Large Hermitian matrices are common in physics and engineering.
• Extracting extreme eigenvalues and eigenmodes is computationally challenging.
• Optical waveguide analysis requires efficient numerical techniques.

Purpose of the Study:

• To introduce a new numerical method for extreme eigenvalue and eigenmode extraction.
• To apply this method to the mode analysis of optical waveguides.
• To demonstrate the method's superiority over existing techniques.

Main Methods:

• Development of a novel numerical algorithm for eigenvalue problems.
• Application of the method to arbitrarily shaped optical waveguides.
• Comparison with established numerical analysis techniques.

Main Results:

• The proposed method successfully extracts extreme eigenvalues and eigenmodes.
• First-time application to mode analysis of optical waveguides.
• Demonstrated power in analysis, modeling, and optimum design of lossless waveguides.

Conclusions:

• The new numerical method is highly effective for large Hermitian matrices.
• It offers significant advantages for optical waveguide analysis and design.
• This approach facilitates the optimization of lossless optical waveguide structures.