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Dispersive wave-breaking in coherently driven passive cavities.

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    Dispersive shock waves form in passive Kerr resonators due to wave-breaking. Cavity bistability and modulational instability enhance this phenomenon, unlike in cavity-less propagation.

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    Area of Science:

    • Nonlinear optics
    • Photonics
    • Wave phenomena

    Background:

    • Passive Kerr resonators are fundamental in nonlinear optics.
    • Wave-breaking is a key phenomenon in nonlinear wave propagation.
    • Modulational instability and cavity bistability influence optical fields.

    Purpose of the Study:

    • To investigate wave-breaking and dispersive shock wave formation in passive Kerr resonators.
    • To analyze the role of cavity bistability and modulational instability in this process.

    Main Methods:

    • Theoretical analysis of an externally driven passive Kerr resonator.
    • Inclusion of weak normal dispersion.
    • Examination of intracavity field dynamics.

    Main Results:

    • The intracavity field undergoes wave-breaking, forming dispersive shock waves.
    • Dispersive wave-breaking is significantly favored by cavity bistability.
    • Coexisting modulational instability further promotes dispersive shock wave formation.

    Conclusions:

    • Passive Kerr resonators can exhibit dispersive shock waves.
    • Cavity properties like bistability and modulational instability are crucial for their formation.
    • This contrasts with cavity-less nonlinear propagation.