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Short-delayed-feedback semiconductor lasers.

Anton V Kovalev1, Evgeny A Viktorov1, Thomas Erneux2

  • 1ITMO University, Birzhevaya Liniya 14, 199034 Saint Petersburg, Russia.

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Summary
This summary is machine-generated.

This study develops a theory for semiconductor laser oscillations with optoelectronic feedback. Unexpectedly, expanding the delayed variable to third order is needed to accurately model nonlinear oscillations.

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Area of Science:

  • Nonlinear dynamics
  • Semiconductor laser physics
  • Optoelectronics

Background:

  • Semiconductor lasers exhibit complex dynamics under feedback.
  • Hopf bifurcations are critical for understanding laser instability.
  • Optoelectronic feedback introduces time delays crucial for dynamic behavior.

Purpose of the Study:

  • To develop an asymptotic theory for semiconductor lasers with short optoelectronic feedback delays.
  • To analyze the first Hopf bifurcation and resulting nonlinear oscillations.
  • To derive simplified ordinary differential equations (ODEs) that capture the system's bifurcation properties.

Main Methods:

  • Applying Taylor expansion to the delayed variable in laser rate equations.
  • Developing an asymptotic theory focused on the first Hopf bifurcation.
  • Deriving reduced ODEs from the delay differential equations (DDEs).

Main Results:

  • A nearly vertical branch of strongly nonlinear oscillations was identified.
  • Taylor expansion up to the third order was unexpectedly required for accurate modeling.
  • The derived ODEs effectively capture the bifurcation properties of the original DDEs.

Conclusions:

  • Third-order Taylor expansion is essential for accurately modeling short-delayed semiconductor laser dynamics.
  • The derived ODEs provide a simplified yet accurate model for studying laser bifurcations.
  • Experimental observations of sustained oscillations in short-delayed feedback lasers align with the theoretical findings.