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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

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Ray delay in gradient waveguides with arbitrary symmetric refractive profile.

R Bouillie, A Cozannet, K H Steiner

|February 4, 2010

Summary

Ray delay in gradient waveguides is minimal with decreasing refractive profiles, similar to monomode waveguides. Outer cladding significantly impacts delay, necessitating its elimination for optimal gradient medium performance.

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Area of Science:

Optics and Photonics
Waveguide Theory
Materials Science

Background:

Gradient refractive index (GRIN) waveguides offer unique light propagation properties.
Understanding ray delay is crucial for designing high-performance optical devices.
Previous studies have explored GRIN waveguide behavior, but detailed analysis of ray delay variations is ongoing.

Purpose of the Study:

To investigate the ray delay characteristics in gradient waveguides with arbitrary transverse refractive profiles.
To quantify the impact of different refractive profiles and outer cladding on ray delay.
To identify conditions for optimizing the delay time properties of gradient media.

Main Methods:

Utilized a perturbation method for calculating ray delay.
Analyzed waveguides with various transverse refractive profiles.
Examined the influence of outer cladding on ray paths and associated delays.

Main Results:

Identified very small delay differences in pure gradient media for decreasing profiles, comparable to monomode waveguides (material dispersion).
Observed significant larger delay differences when ray paths are influenced by the outer cladding.
Demonstrated that outer cladding effects can mask the inherent low-delay properties of gradient media.

Conclusions:

Pure gradient media exhibit excellent intrinsic delay time properties.
Outer cladding significantly affects ray delay, potentially negating the benefits of gradient profiles.
Eliminating or mitigating outer cladding influences is essential to fully leverage the superior delay characteristics of gradient waveguides.