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Wave propagation in one-dimensional optical quasiperiodic systems.

J M Hollingworth1, A Vourdas, N Backhouse

  • 1Department of Electrical Engineering and Electronics, The University of Liverpool, Liverpool L69 3GJ, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 3, 2001
PubMed
Summary

Investigating one-dimensional quasiperiodic optical systems reveals that minor alterations in the alpha parameter significantly impact band structure. This enables dense optical multiplexing by creating numerous thin bands.

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Area of Science:

  • Optics
  • Condensed Matter Physics
  • Wave Phenomena

Background:

  • One-dimensional quasiperiodic optical systems exhibit complex wave propagation behaviors.
  • The Schrödinger-like equation with a cosine potential approximates wave behavior in such systems.

Purpose of the Study:

  • To investigate the impact of parameter variations on the band structure of quasiperiodic optical systems.
  • To explore the propagation of noisy optical waves using a thermodynamic model.

Main Methods:

  • Utilizing a Schrödinger-like equation with a potential V(x)=2lambda(1) cos x+2lambda(2) cos alphax.
  • Applying the slowly-varying wave approximation.
  • Developing a thermodynamic model to study noisy optical wave propagation.

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Main Results:

  • Small changes in the parameter alpha lead to significant alterations in the system's band structure.
  • Specific alpha values result in a band structure with numerous thin bands, facilitating dense multiplexing.
  • Thermodynamic quantities like averaged group velocity and inverse effective mass were introduced.

Conclusions:

  • The band structure of quasiperiodic optical systems is highly sensitive to parameter variations.
  • Dense optical multiplexing is achievable in these systems under specific conditions.
  • The thermodynamic model provides a framework for understanding complex wave-frequency-wave vector relationships.