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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:
Modes of Standing Waves - I01:03

Modes of Standing Waves - I

A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This phenomenon...
Propagation of Waves01:07

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Plane Electromagnetic Waves I01:30

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Traveling Waves: Lossless Lines01:27

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The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx and a shunt capacitance CΔx.
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Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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X - waves in nonlinear normally dispersive waveguide arrays.

Sotiris Droulias, Kyriakos Hizanidis, Joachim Meier

    Optics Express
    |June 5, 2009
    PubMed
    Summary

    Optical discrete X-waves are theoretically demonstrated in nonlinear waveguide arrays with normal dispersion. These waves can be excited under various conditions and potentially generated in cascade within AlGaAs systems.

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    Area of Science:

    • Nonlinear optics
    • Wave propagation in periodic structures

    Background:

    • Discrete optical waves exhibit unique propagation dynamics in nonlinear waveguide arrays.
    • Understanding the conditions for generating and controlling these waves is crucial for optical applications.

    Purpose of the Study:

    • To theoretically demonstrate the existence of optical discrete X-waves in normally dispersive nonlinear waveguide arrays.
    • To investigate the excitation mechanisms and conditions for generating these X-waves.
    • To explore the feasibility of observing these waves in practical AlGaAs waveguide systems.

    Main Methods:

    • Theoretical modeling of wave propagation in discrete nonlinear systems.
    • Numerical simulations to analyze excitation dynamics and cascade generation.
    • Analysis of wave characteristics in normally dispersive nonlinear waveguide arrays.

    Main Results:

    • Optical discrete X-waves are theoretically shown to exist in normally dispersive nonlinear waveguide arrays.
    • Effective excitation of these X-waves is demonstrated across a broad range of initial conditions.
    • Cascade generation of X-waves is observed under specific circumstances.

    Conclusions:

    • Optical discrete X-waves are a viable phenomenon in nonlinear waveguide arrays.
    • The findings suggest practical methods for generating these waves, with potential applications in AlGaAs systems.
    • This research opens avenues for exploring novel optical wave phenomena in discrete media.