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Related Concept Videos

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...
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:
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:
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.
Electromagnetic Waves in Matter01:30

Electromagnetic Waves in Matter

Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
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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Related Experiment Video

Updated: Jun 16, 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

Propagation in a weakly anisotropic waveguide.

J Rosenbaum, L Kraus

    Applied Optics
    |February 20, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Anisotropy in dielectric waveguides affects fractional power, increasing it for positive values and decreasing it for negative values, especially near cutoff. This impacts modal behavior and stability.

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    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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    Area of Science:

    • Optics and Photonics
    • Waveguide Theory
    • Dielectric Materials

    Background:

    • Dielectric waveguides are crucial in optical systems.
    • Weakly anisotropic materials exhibit unique propagation characteristics.
    • Understanding modal power distribution is key for device design.

    Purpose of the Study:

    • To investigate the impact of weak anisotropy on power propagation in dielectric waveguides.
    • To analyze how anisotropy affects modal behavior and stability near cutoff.
    • To explore the potential relevance of this phenomenon in biological systems like retinal receptors.

    Main Methods:

    • Theoretical analysis of electromagnetic wave propagation.
    • Mathematical modeling of anisotropic dielectric waveguides.
    • Comparison of results with isotropic waveguide approximations.

    Main Results:

    • Positive anisotropy increases fractional power in the waveguide core, while negative anisotropy decreases it.
    • The effect of anisotropy is amplified as the waveguide approaches cutoff frequency.
    • Anisotropy breaks the degeneracy between HE and EH modes, necessitating distinct mode identification.
    • Modal power stability increases with anisotropy in retinal receptors, though the effect is minor.

    Conclusions:

    • Weak anisotropy significantly alters power distribution and modal characteristics in dielectric waveguides.
    • The findings provide insights into waveguide design and optical phenomena.
    • While anisotropy affects modal stability in retinal receptors, it is insufficient to explain observed biological stability.