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Propagation of Waves

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...

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Related Experiment Video

Updated: Jun 16, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

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Published on: November 30, 2012

Modes in fiber optical waveguides with ring index profiles.

|February 16, 2010

Summary

This study calculates optical fiber mode properties for ring index profiles. Results are relevant for nonlinear interactions in fiber waveguides.

Area of Science:

Optics and Photonics
Materials Science

Background:

Optical fibers with specific refractive index profiles are crucial for advanced photonic applications.
Understanding mode properties is essential for predicting light propagation and interactions within these waveguides.

Purpose of the Study:

To investigate the mode properties of optical fibers featuring ring index profiles.
To analyze the impact of depressed index regions on fiber performance.

Main Methods:

Numerical calculations were performed to determine mode properties.
Three idealized ring index profiles were selected for analysis.
Propagation constants, group delay, and mode field patterns were computed.

Main Results:

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Last Updated: Jun 16, 2026

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Detailed calculations of propagation constants for various modes were obtained.

Group delay characteristics were analyzed for the studied profiles.

Near and far field mode patterns were generated and compared to Gaussian TEM laser modes.

Conclusions:

The calculated mode properties provide insights into light propagation in ring index profile fibers.
The findings are directly applicable to the design and optimization of fiber waveguides for nonlinear optics.
Comparisons with Gaussian modes offer a benchmark for evaluating fiber performance.