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Shock Waves01:16

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While deriving the Doppler formula for the observed frequency of a sound wave, it is assumed that the speed of sound in the medium is greater than the source's speed through it. When this condition is breached, a shock wave occurs.
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Microwave Photonics Systems Based on Whispering-gallery-mode Resonators
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Published on: August 5, 2013

Radiating multimode dispersive shock waves.

Salvatore Nolasco, Matteo Conforti, Stefano Trillo

    Optics Letters
    |May 15, 2026
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    Summary
    This summary is machine-generated.

    Dispersive shock waves are predicted in multimode fibers, even with competing instabilities. Spatial self-imaging causes these waves to radiate at multiple frequencies, explaining spectral reshaping in normal dispersion.

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    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators

    Published on: April 4, 2016

    Area of Science:

    • Nonlinear optics
    • Fiber optics

    Background:

    • Dispersive shock waves (DSWs) are nonlinear phenomena typically studied in single-mode fibers.
    • Geometric parametric instability can compete with DSW formation in multimode fibers.
    • Understanding spectral reshaping in the normal dispersion regime is crucial for pulse propagation studies.

    Purpose of the Study:

    • To predict the observation of DSWs in multimode fibers with a parabolic index profile.
    • To investigate the role of spatial self-imaging in DSW radiation.
    • To develop a model for understanding spectral reshaping in the normal dispersion regime.

    Main Methods:

    • Numerical simulations using a full 1 + 3D model.
    • Development of a reduced model to derive a phase-matching rule.
    • Analysis of wave propagation in multimode fibers with a parabolic index profile.

    Main Results:

    • DSWs can be observed in multimode fibers despite competing geometric parametric instability.
    • Spatial self-imaging induces DSW radiation at multiple resonant frequencies.
    • A simple phase-matching rule accurately describes resonances, matching full model predictions.

    Conclusions:

    • The study confirms DSWs in multimode parabolic fibers.
    • Spatial self-imaging is key to understanding multi-resonant frequency radiation.
    • The findings provide insights into spectral reshaping of intense pulses in normal dispersion.