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Related Experiment Video

Updated: Jun 22, 2026

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
12:18

Microwave Photonics Systems Based on Whispering-gallery-mode Resonators

Published on: August 5, 2013

Optimization-based calculation of optical nonlinear processes in a micro-resonator.

Guy Klemens, Yeshaiahu Fainman

    Optics Express
    |June 17, 2009
    PubMed
    Summary
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    We developed a new optimization method to precisely calculate nonlinear optical processes in resonators. This exact technique works for various nonlinearities and multiple resonators, maintaining crucial phase relations.

    Area of Science:

    • Optics and Photonics
    • Nonlinear Optics
    • Resonator Physics

    Background:

    • Calculating the performance of nonlinear optical processes in resonators is complex.
    • Existing methods have limitations in scope and accuracy for various nonlinearities and coupled systems.

    Purpose of the Study:

    • To introduce a novel, exact method for calculating nonlinear processes in optical resonators.
    • To provide a versatile approach applicable to diverse nonlinear phenomena and resonator configurations.

    Main Methods:

    • An optimization-based approach, inspired by nonlinear circuit analysis.
    • Formulation to determine wave magnitudes satisfying boundary conditions and nonlinear optical effects.
    • Application to various nonlinear orders (e.g., second-order, third-order) and multiple coupled resonators.

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    Last Updated: Jun 22, 2026

    Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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    Main Results:

    • The method accurately calculates wave magnitudes and maintains phase relations.
    • Demonstrated applicability to second-order nonlinear processes in a one-dimensional resonator.
    • The technique proves exact and broadly applicable across different nonlinear optical scenarios.

    Conclusions:

    • The presented optimization method offers an exact and versatile solution for analyzing nonlinear optical processes in resonators.
    • This approach overcomes limitations of previous methods, enabling precise calculations for complex systems.
    • The findings are significant for advancing the understanding and design of nonlinear optical devices.