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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 5 — Feb. 27, 2012
  • pp: 5586–5600

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

Jorge R. Zurita-Sánchez, J. H. Abundis-Patiño, and P. Halevi  »View Author Affiliations

Optics Express, Vol. 20, Issue 5, pp. 5586-5600 (2012)

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We describe pulse propagation through a slab with periodic dielectric function ε(t), thus extending our previous investigation for monochromatic incidence [Phys. Rev. A 79, 053821 (2009)]. Based on the concepts of phase and group delays, we prove that, for an incident quasi-monochromatic pulse, the transmitted pulse can be expressed as a superposition of partial pulses that are exact replicas of the incident pulse and that exit the slab with a time delay. These partial pulses have harmonic carrier frequencies ωcnΩ (n is an integer, ωc is the carrier frequency of the incident pulse, and Ω = 2π/T is the slab modulation frequency). We find numerically that these partial pulses can be fast (peak velocity vn > c or vn < 0) or slow (vnc). Further, we investigate the peak velocity vp of the outcoming pulse for several cases. We find that this peak velocity vp and the partial peak velocities vn do not diverge —as occurs to the group velocity vg of the bulk dynamic-periodic medium when ωc = Ω/2. We expect that these results could be verified in the microwave regime [see Halevi et al., Proc. SPIE 8095, 80950I (2011)].

© 2012 OSA

OCIS Codes
(350.5500) Other areas of optics : Propagation
(160.3918) Materials : Metamaterials
(130.7405) Integrated optics : Wavelength conversion devices

ToC Category:
Physical Optics

Original Manuscript: December 14, 2011
Revised Manuscript: January 19, 2012
Manuscript Accepted: January 26, 2012
Published: February 22, 2012

Jorge R. Zurita-Sánchez, J. H. Abundis-Patiño, and P. Halevi, "Pulse propagation through a slab with time-periodic dielectric function ε(t)," Opt. Express 20, 5586-5600 (2012)

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