Rigorous time-domain analysis of dielectric optical waveguides using Hertzian potentials formulation

Area of Science:

• Computational electromagnetics
• Photonics and optical devices

Background:

• Accurate simulation of electromagnetic fields is crucial for designing optical devices.
• Existing methods can be computationally intensive, limiting complex analyses.

Purpose of the Study:

• To present a new simulation approach for time-domain electromagnetic (EM) field evaluation.
• To reduce the number of equations required for EM field computation.
• To extend the Hertzian potentials formulation to bi-dimensional structures.

Main Methods:

• Utilizing scalar Helmholtz equations to determine electric and magnetic Hertzian potentials.
• Applying the method to optical waveguide arrays.
• Considering field-perturbation effects from high dielectric contrast and discontinuities.

Main Results:

• Successfully reduced the computational complexity of EM field simulations.
• Demonstrated the applicability to optical waveguide arrays with high dielectric contrast.
• Extended the rigorous Hertzian potentials formulation to bi-dimensional scenarios.

Conclusions:

• The proposed simulation approach offers an efficient alternative for time-domain EM field analysis.
• The method is effective for structures like optical waveguide arrays with complex dielectric properties.
• The extension to bi-dimensional structures broadens its applicability in photonic device simulation.