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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 14 — Jul. 5, 2010
  • pp: 15155–15168

Interaction of a single-cycle laser pulse with a bound electron without ionization

Ufuk Parali and Dennis R. Alexander  »View Author Affiliations

Optics Express, Vol. 18, Issue 14, pp. 15155-15168 (2010)

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In this paper, interaction of an ultrashort single-cycle pulse (USCP) with a bound electron without ionization is reported for the first time. For a more realistic mathematical description of USCPs, Hermitian polynomials and combination of Laguerre functions are used for two different single cycle excitation cases. These single cycle pulse models are used as driving functions for the classical approach to model the interaction of a bound electron with an applied electric field. A new novel time-domain technique was developed for modifying the classical Lorentz damped oscillator model in order to make it compatible with USCP excitation. This modification turned the Lorentz oscillator model equation into a Hill-like function with non-periodic time varying damping and spring coefficients. Numerical results are presented for two different excitation models and for varying spring and damping constants. Our two driving model excitations provide quite different time response of the bound electron. Different polarization response will subsequently result in relative differences in the time dependent index of refraction.

© 2010 OSA

OCIS Codes
(000.3860) General : Mathematical methods in physics
(260.5430) Physical optics : Polarization
(320.2250) Ultrafast optics : Femtosecond phenomena
(320.5550) Ultrafast optics : Pulses
(320.7090) Ultrafast optics : Ultrafast lasers
(320.7120) Ultrafast optics : Ultrafast phenomena

ToC Category:
Ultrafast Optics

Original Manuscript: May 6, 2010
Revised Manuscript: June 17, 2010
Manuscript Accepted: June 18, 2010
Published: June 30, 2010

Ufuk Parali and Dennis R. Alexander, "Interaction of a single-cycle laser pulse with a bound electron without ionization," Opt. Express 18, 15155-15168 (2010)

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