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Published on: August 30, 2012
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.
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.
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.
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