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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:
The de Broglie Wavelength02:32

The de Broglie Wavelength

In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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.
The Wave Nature of Light02:12

The Wave Nature of Light

The nature of light has been a subject of inquiry since antiquity. In the seventeenth century, Isaac Newton performed experiments with lenses and prisms and was able to demonstrate that white light consists of the individual colors of the rainbow combined together. Newton explained his optics findings in terms of a "corpuscular" view of light, in which light was composed of streams of extremely tiny particles traveling at high speeds according to Newton's laws of motion.
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...
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.

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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

Theoretical and computational concepts for periodic optical waveguides.

G Lecamp, J P Hugonin, P Lalanne

    Optics Express
    |June 24, 2009
    PubMed
    Summary

    We developed a rigorous modal formalism to model light propagation and emission in 3D periodic waveguides. This method accurately resolves light scattering phenomena like reflection and transmission.

    Area of Science:

    • Photonics and Optics
    • Computational Electromagnetics
    • Condensed Matter Physics

    Background:

    • Existing modal concepts for waveguides are limited to translation-invariant structures.
    • Modeling light in complex periodic structures requires advanced formalisms.
    • Accurate simulation of light-matter interactions in periodic media is crucial for device design.

    Purpose of the Study:

    • To present a general, rigorous modal formalism for light propagation and emission in 3D periodic waveguides and their aggregates.
    • To generalize modal concepts to non-translation-invariant periodic structures.
    • To accurately account for radiation losses and scattering phenomena.

    Main Methods:

    • Generalization of modal concepts for translation-invariant waveguides.

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    Related Experiment Videos

    Last 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

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
    09:43

    Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

    Published on: March 20, 2017

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    12:18

    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

    Published on: August 5, 2013

  • Incorporation of perfectly-matched layers (PMLs) in transverse directions.
  • Derivation of Bloch-mode orthogonality and scattering matrix properties using reciprocity.
  • Implementation via a Fourier numerical approach.
  • Main Results:

    • Derived Bloch-mode orthogonality relations based on E x H products.
    • Proved the symmetrical property of the scattering matrix for Bloch modes.
    • Successfully implemented the formalism to accurately resolve light scattering, including reflection, transmission, and emission.
    • Rigorous inclusion of radiation losses from excited radiation Bloch modes.

    Conclusions:

    • The developed modal formalism provides a robust framework for analyzing light in 3D periodic waveguides.
    • The method accurately models complex light propagation and emission phenomena, including scattering and radiation losses.
    • This rigorous approach enables precise simulation for photonic device design and analysis.