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Related Concept Videos

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:
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...
Interference and Superposition of Waves01:07

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Modes of Standing Waves: II01:04

Modes of Standing Waves: II

The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
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 Speed of Electromagnetic Waves01:30

Propagation Speed of Electromagnetic Waves

Electromagnetic waves are consistent with Ampere's law. Assuming there is no conduction current Ampere's law is given as:

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Related Experiment Video

Updated: Jun 22, 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

Supermodes in multiple coupled photonic crystal waveguides.

L C Botten, R A Hansen, C Martijn de Sterke

    Optics Express
    |June 9, 2009
    PubMed
    Summary
    This summary is machine-generated.

    We analyzed supermodes in coupled photonic crystal waveguides. An odd number of periods between waveguides reverses supermode order, matching analytical and numerical results.

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    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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    Published on: November 30, 2012

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    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
    12:18

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    Published on: August 5, 2013

    Area of Science:

    • Photonics
    • Condensed Matter Physics
    • Waveguide Optics

    Background:

    • Coupled waveguides are fundamental in integrated photonics.
    • Photonic crystal waveguides offer unique light-manipulation properties.
    • Understanding supermodes is crucial for device design.

    Purpose of the Study:

    • To analyze supermodes in multiple coupled photonic crystal waveguides.
    • To investigate the influence of waveguide separation and photonic crystal structure on supermode behavior.
    • To generalize findings for two coupled waveguides to multiple systems.

    Main Methods:

    • Analytical calculations in the tight-binding limit.
    • Fully numerical simulations for validation.
    • Analysis of field-flipping behavior and period counts.

    Main Results:

    • Analytic results align with numerical calculations.
    • Supermode order reversal observed under specific conditions.
    • Generalization of supermode behavior in multi-waveguide systems.

    Conclusions:

    • The study provides a generalized understanding of supermodes in coupled photonic crystal waveguides.
    • Specific structural conditions lead to predictable supermode order reversal.
    • Findings are relevant for designing advanced photonic devices.