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Guided modes in a uniaxial multilayer.

Ivan Avrutsky¹

¹Department of Electrical and Computer Engineering, Wayne State University, Detroit, Michigan 48202, USA. avrutsky@ece.eng.wayne.edu

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|March 13, 2003

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A new algorithm simulates guided modes in multilayer uniaxial structures. It handles complex optical properties and polarization, covering various waveguide and interface phenomena.

Area of Science:

Optics and Photonics
Materials Science
Computational Electromagnetics

Background:

Simulating guided modes in complex optical structures is crucial for device design.
Uniaxial anisotropic materials require sophisticated modeling due to directional optical properties.
Existing methods may lack generality or require assumptions about mode polarization.

Purpose of the Study:

To develop a versatile algorithm for simulating guided electromagnetic modes in multilayer uniaxial structures.
To provide a method that accommodates layers with independent optical axes and refractive index ellipsoids.
To enable the simulation of hybrid polarized modes without prior assumptions.

Main Methods:

Representing electromagnetic fields as coupled ordinary and extraordinary waves.

Related Experiment Videos

Reducing the problem to two dimensions using the wave vector's in-plane projection.

Solving a system of linear equations for wave amplitudes at layer boundaries.

Main Results:

The algorithm accurately simulates guided modes in multilayer uniaxial waveguides.
It naturally accounts for hybrid polarized modes arising from anisotropy.
The method successfully models various scenarios, including surface waves and plasmons.

Conclusions:

The presented algorithm offers a unified and general approach for simulating guided modes in anisotropic multilayer structures.
This method enhances the design and analysis of optical devices utilizing uniaxial materials.
It provides a powerful tool for exploring phenomena like surface waves, plasmons, and leaky modes.