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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:
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.

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Updated: Jun 16, 2026

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

Characterization of Anisotropic Leaky Mode Modulators for Holovideo

Published on: March 19, 2016

Leaky modes on circular optical waveguides.

R Sammut, A W Snyder

    Applied Optics
    |February 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study reveals leaky optical waveguide modes in circular dielectric cylinders, detailing their properties and characteristic parameters. It also discusses how material absorption impacts leaky mode attenuation.

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    Area of Science:

    • Optics and Photonics
    • Electromagnetism
    • Waveguide Theory

    Background:

    • Optical waveguides typically support bound modes.
    • Leaky modes in circular waveguides are less understood but present.
    • Understanding these modes is crucial for advanced optical device design.

    Purpose of the Study:

    • To determine the detailed properties of leaky modes in nonabsorbing circular optical waveguides.
    • To present characteristic mode parameters for these leaky modes.
    • To analyze the influence of material absorption on leaky mode attenuation.

    Main Methods:

    • Solving the eigenvalue equation for modes of a circular dielectric cylinder below cutoff frequency.
    • Analyzing solutions for low-order modes graphically.
    • Deriving asymptotic solutions for higher-order modes.

    Main Results:

    • Detailed properties and characteristic parameters of leaky modes are presented.
    • Graphical representations are provided for low-order leaky modes.
    • Asymptotic behavior for higher-order leaky modes is described.

    Conclusions:

    • Nonabsorbing circular waveguides support both bound and leaky modes.
    • Leaky mode properties are systematically characterized.
    • Material absorption significantly affects leaky mode attenuation.