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Related Concept Videos

Deflection of a Beam01:19

Deflection of a Beam

Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...

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Fabrication of a Low-Cost, Fiber-Coupled, and Air-Spaced Fabry-Pérot Etalon
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Pitchfork bifurcation using a two-beam nonlinear Fabry-Perot interferometer: an analytical study.

M Haelterman, P Mandel

    Optics Letters
    |September 23, 2009
    PubMed
    Summary

    A nonlinear Fabry-Perot interferometer exhibits a unique flip-flop behavior. This optical device

    Area of Science:

    • Nonlinear optics
    • Optical resonators
    • Quantum optics

    Background:

    • Nonlinear planar resonators are crucial for advanced optical devices.
    • The Fabry-Perot interferometer is a fundamental optical component.

    Purpose of the Study:

    • To analyze the steady transmission characteristics of a two-beam nonlinear Fabry-Perot interferometer.
    • To explore potential applications of this nonlinear optical device.

    Main Methods:

    • Application of a recent modal theory for nonlinear planar resonators.
    • Analytical study utilizing the planewave approximation.

    Main Results:

    • Prediction of a flip-flop mode of operation.
    • Identification of a pitchfork bifurcation as the underlying mechanism.

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  • Demonstration of the device's potential applications.
  • Conclusions:

    • The predicted flip-flop mode requires only positive triggering pulses.
    • The study highlights the practical utility of nonlinear interferometers.