Verification of generalized telegraphist's equations applied to dielectric waveguide problems

Area of Science:

• Photonics and Optical Engineering
• Computational Electromagnetics
• Waveguide Theory

Background:

• Dielectric waveguides are crucial components in optical systems.
• Accurate analysis of waveguide modes is essential for device design.
• Existing methods may have limitations in accuracy or scope.

Purpose of the Study:

• To present a simple and accurate numerical method for analyzing dielectric waveguides.
• To apply the method to diverse single-mode and multimode guiding structures.
• To validate the method's precision in calculating modal propagation constants.

Main Methods:

• Utilizing generalized telegraphist's equations as a full vector-wave analysis tool.
• Formulating the waveguide problem as a matrix eigenvalue equation.
• Solving the eigenvalue equation to obtain modal propagation constants.

Main Results:

• The numerical method is successfully applied to various dielectric waveguide structures.
• Single-mode and multimode computations are performed.
• The method achieves high accuracy, with propagation constant calculations better than 0.08%.

Conclusions:

• The generalized telegraphist's equation method offers a simple yet powerful tool for dielectric waveguide analysis.
• The approach provides accurate modal propagation constants for diverse waveguide designs.
• This method enhances the precision of optical waveguide simulations.