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Standing Waves in a Cavity01:28

Standing Waves in a Cavity

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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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Related Experiment Video

Updated: May 6, 2026

Automation of Mode Locking in a Nonlinear Polarization Rotation Fiber Laser through Output Polarization Measurements
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Phase locking in a Nd:YVO₄ waveguide laser array using Talbot cavity.

Kenichi Hirosawa, Seiichi Kittaka, Yu Oishi

    Optics Express
    |October 24, 2013
    PubMed
    Summary

    Researchers achieved phase-locking in a 15-emitter Nd:YVO₄ laser array using a Talbot cavity. This method stabilized the laser array, enabling efficient light generation and analysis of phase-locking characteristics.

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    Area of Science:

    • Optics and Photonics
    • Laser Physics
    • Materials Science

    Background:

    • Laser arrays offer high-power light generation but often suffer from phase instability.
    • Achieving coherent emission from multiple laser emitters is crucial for advanced optical applications.
    • Nd:YVO₄ (Neodymium-doped Yttrium Orthovanadate) is a widely used laser gain medium.

    Purpose of the Study:

    • To demonstrate and analyze phase-locking in a laser-diode-array-pumped Nd:YVO₄ laser array.
    • To investigate the effectiveness of a Talbot cavity for stabilizing laser array modes.
    • To characterize the output properties of the phase-locked laser array.

    Main Methods:

    • Fabrication of a planar waveguide array from Nd:YVO₄ crystal with dielectric claddings.
    • Generation of periodical thermal lenses via controlled heat flow to stabilize the horizontal array mode.
    • Implementation of a Talbot cavity to achieve and analyze phase-locking.
    • Utilizing a spatial light modulator to convert a two-peak supermode to a single peak.
    • Experimental and numerical analysis of Talbot phase-locking characteristics.

    Main Results:

    • Phase-locking was successfully demonstrated in a 15-emitter Nd:YVO₄ laser array using a Talbot cavity.
    • The phase-locked waveguide array achieved an output power of 1.65 W.
    • A two-peak supermode was observed and subsequently converted to a single peak using a spatial light modulator.
    • Experimental and numerical analyses provided insights into the Talbot phase-locking mechanism.

    Conclusions:

    • Talbot cavity is an effective method for achieving phase-locking in Nd:YVO₄ laser arrays.
    • The developed technique allows for stabilization of laser array modes and control over output characteristics.
    • This work contributes to the development of high-power, coherent laser sources for various applications.