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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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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Second-harmonic generation in a doubly resonant semiconductor microcavity.

C Simonneau, J P Debray, J C Harmand

    Optics Letters
    |January 12, 2008
    PubMed
    Summary

    We demonstrate efficient second-harmonic generation using a novel semiconductor microcavity. This technology utilizes dispersion-engineered mirrors for quasi-phase matching in nonlinear optics.

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    Area of Science:

    • Nonlinear Optics
    • Semiconductor Physics
    • Photonics

    Background:

    • Semiconductor microcavities are crucial for nonlinear optical processes.
    • Efficient second-harmonic generation (SHG) is vital for frequency conversion applications.
    • Traditional Bragg reflectors face limitations in broadband applications.

    Purpose of the Study:

    • To demonstrate second-harmonic generation in a doubly resonant semiconductor microcavity.
    • To engineer novel dual-wavelength mirrors accounting for dispersion.
    • To achieve quasi-phase matching by controlling phase addition at reflection.

    Main Methods:

    • Fabrication of a monolithic AlGaAs microcavity.
    • Design of dispersion-engineered AlGaAs/AlAs dual-wavelength mirrors.
    • Utilizing quasi-phase matching by compensating dephasing through phase addition.

    Main Results:

    • Successful demonstration of second-harmonic generation.
    • The microcavity exhibited doubly resonant behavior.
    • Engineered mirrors provided effective phase compensation for quasi-phase matching.

    Conclusions:

    • The developed semiconductor microcavity enables efficient nonlinear frequency conversion.
    • Dispersion engineering of mirrors is key for achieving quasi-phase matching.
    • This work advances the development of integrated photonic devices for nonlinear optics.