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Related Concept Videos

Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
Propagation of Waves01:07

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...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Limits with Oscillating Discontinuities01:19

Limits with Oscillating Discontinuities

An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the most...
Reflection of Waves01:07

Reflection of Waves

When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
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Partial Differential Equations

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Related Experiment Video

Updated: Jul 9, 2026

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
11:08

Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

Published on: November 30, 2012

Spatiotemporal collapse in a nonlinear waveguide with a randomly fluctuating refractive index.

Y B Gaididei, P L Christiansen

    Optics Letters
    |December 19, 2007
    PubMed
    Summary

    Random fluctuations in nonlinear waveguides can prevent pulse collapse and control pulse spreading. This disorder offers a new way to manage spatiotemporal pulse dynamics in optical systems.

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    Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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    Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

    Published on: September 26, 2014

    Related Experiment Videos

    Last Updated: Jul 9, 2026

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
    11:08

    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities

    Published on: November 30, 2012

    Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
    10:35

    Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials

    Published on: September 26, 2014

    Area of Science:

    • Nonlinear optics
    • Waveguide theory
    • Statistical physics

    Background:

    • Nonlinear waveguides typically exhibit pulse collapse under certain conditions.
    • Understanding pulse dynamics in disordered media is crucial for optical technologies.

    Purpose of the Study:

    • To analyze the spatiotemporal evolution of optical pulses in a nonlinear waveguide with a randomly fluctuating refractive index.
    • To investigate the effect of disorder on pulse collapse and spreading.

    Main Methods:

    • Application of the virial theorem and the Furutsu-Novikov theorem.
    • Analysis of spatiotemporal pulse evolution under random refractive index fluctuations.

    Main Results:

    • Random fluctuations postpone or prevent pulse collapse in homogeneous waveguides.
    • Sufficiently strong fluctuations can induce pulse spreading instead of contraction.
    • Disorder enables high controllability over the spatiotemporal extent of pulses.

    Conclusions:

    • Randomly fluctuating refractive indices offer a method to control optical pulse behavior in nonlinear waveguides.
    • This approach provides a novel mechanism for managing pulse dynamics, moving beyond traditional methods.