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Pulse propagation through a slab with time-periodic dielectric function ε(t).

Jorge R Zurita-Sánchez1, J H Abundis-Patiño, P Halevi

  • 1Instituto Nacional de Astrofísica, Optica y Electrónica, Apdo. Postal 51 y 216, Puebla, Pue. 72000, Mexico.

Optics Express
|March 16, 2012
PubMed
Summary

We demonstrate how light pulses propagate through a time-varying dielectric material, creating replica pulses with varying speeds. These findings are crucial for understanding light-matter interactions in dynamic periodic media.

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Area of Science:

  • Optics and Photonics
  • Condensed Matter Physics
  • Electromagnetism

Background:

  • Extends previous work on monochromatic wave propagation in time-varying dielectric media.
  • Builds upon established concepts of phase and group delays in wave propagation.

Purpose of the Study:

  • To analyze the propagation of quasi-monochromatic pulses through a slab with a time-dependent dielectric function.
  • To investigate the characteristics and velocities of transmitted partial pulses.

Main Methods:

  • Theoretical analysis using phase and group delay concepts.
  • Numerical simulations to study pulse propagation and velocities.
  • Extension of prior monochromatic wave analysis to pulsed incidence.

Main Results:

  • Transmitted pulse is a superposition of replicas with harmonic carrier frequencies.
  • Partial pulses exhibit diverse velocities, including superluminal (v > c) and slow light (v << c).
  • Peak pulse velocity and partial pulse velocities do not diverge, unlike bulk group velocity.

Conclusions:

  • The study provides a theoretical framework for understanding pulse propagation in dynamic periodic media.
  • Numerical results reveal complex pulse behavior, including superluminal and slow-light phenomena.
  • Findings have potential experimental verification in the microwave regime.