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State dependent pseudoresonances and excess noise.

F Papoff1, G D'Alessandro, G-L Oppo

  • 1Department of Physics, University of Strathclyde, 107 Rottenrow, Glasgow G4 0NG, United Kingdom.

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Summary
This summary is machine-generated.

Strong responses to nonresonant modulations and excess noise depend on the specific state in nonlinear systems. These phenomena, observed in optical models, can be significantly amplified in certain conditions.

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Area of Science:

  • Nonlinear dynamics
  • Optical systems
  • Complex systems

Background:

  • Nonresonant modulations and excess noise are common in nonlinear systems.
  • These phenomena are often assumed to be uniformly distributed across system states.
  • Understanding state-dependent behavior is crucial for controlling complex systems.

Purpose of the Study:

  • To investigate the state-dependent nature of nonresonant modulations and excess noise in generic nonlinear systems.
  • To identify the underlying mechanisms causing this state dependency.
  • To demonstrate the potential for significant enhancement of these phenomena in specific states.

Main Methods:

  • Analysis of complex Swift-Hohenberg models relevant to optics.
  • Examination of the linearized stability operators around selected output states.
  • Identification of effective parameters governing excess noise and modulation response.

Main Results:

  • Demonstrated that strong response to nonresonant modulations and excess noise are state-dependent.
  • Identified non-normality of linearized stability operators as the cause, despite orthogonal cavity modes.
  • Found effective parameters that control these phenomena.
  • Observed cases where noise and modulation response are enhanced by an order of magnitude.

Conclusions:

  • Response to nonresonant modulations and excess noise are not uniform but depend on the specific state of a nonlinear system.
  • The non-normality of stability operators plays a key role in this state dependency.
  • These findings have implications for controlling and predicting behavior in complex optical systems.