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Finite signals in planar waveguides.

Juvenal Rueda-Paz1, Kurt Bernardo Wolf

  • 1Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, Cuernavaca, Morelos 62210, Mexico.

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Summary

This study explores how elliptic-profile waveguides transform phase space using finite quantization of geometric optics and Kravchuk coherent states. The research reveals nonlinear transformations impacting N-point signals in planar waveguides.

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Area of Science:

  • Optics and Photonics
  • Quantum Mechanics
  • Waveguide Theory

Background:

  • Geometric optics provides a framework for understanding light propagation.
  • Finite quantization introduces discrete elements into optical systems.
  • Waveguides confine and direct light, with their profiles influencing propagation characteristics.

Purpose of the Study:

  • To investigate the phase space evolution of N-point signals.
  • To analyze the effects of elliptic-profile waveguides on signal phase space.
  • To apply finite quantization of geometric optics and Kravchuk coherent states to waveguide analysis.

Main Methods:

  • Utilizing the finite quantization of geometric optics.
  • Employing Kravchuk coherent states derived from the finite oscillator model.
  • Analyzing signal evolution in phase space using the SO(3) Wigner function.

Main Results:

  • Demonstrated nonlinear transformations induced by elliptic-profile waveguides.
  • Characterized the impact of these waveguides on the phase space of N-point signals.
  • Showcased the utility of Kravchuk coherent states in this context.

Conclusions:

  • Elliptic-profile waveguides induce significant nonlinear transformations in signal phase space.
  • The finite quantization of geometric optics offers a robust framework for this analysis.
  • Kravchuk coherent states are effective tools for probing these waveguide dynamics.