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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:

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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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Methods of analyzing planar optical waveguides.

I C Goyal, R L Gallawa, A K Ghatak

    Optics Letters
    |September 24, 2009
    PubMed
    Summary
    This summary is machine-generated.

    A new approximate solution for optical waveguides accurately solves the scalar-wave equation for complex refractive-index profiles. This method is validated against known solutions and applicable to optical fibers.

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    Area of Science:

    • Optics
    • Photonics
    • Wave Propagation

    Background:

    • Scalar-wave equation is fundamental for analyzing optical waveguides.
    • Existing methods may struggle with arbitrary refractive-index profiles.

    Purpose of the Study:

    • To develop a novel approximate solution for the scalar-wave equation.
    • To accurately model planar optical waveguides with arbitrary refractive-index profiles.

    Main Methods:

    • An approximate analytical solution is derived for the scalar-wave equation.
    • The method is tested using a planar waveguide with a known refractive-index profile and solution.

    Main Results:

    • The developed approximate solution demonstrates high accuracy when compared to a known solution.
    • The method provides reliable results for complex refractive-index profiles.

    Conclusions:

    • The new approximate solution is accurate and effective for planar optical waveguides.
    • The methodology can be extended to analyze circularly symmetric optical fibers.