## Space-time resolved simulation of femtosecond nonlinear light-matter interactions using a holistic quantum atomic model : Application to near-threshold harmonics |

Optics Express, Vol. 20, Issue 14, pp. 16113-16128 (2012)

http://dx.doi.org/10.1364/OE.20.016113

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### Abstract

We introduce a new computational approach for femtosecond pulse propagation in the transparency region of gases that permits full resolution in three space dimensions plus time while fully incorporating quantum coherent effects such as high-harmonic generation and strong-field ionization in a holistic fashion. This is achieved by utilizing a one-dimensional model atom with a delta-function potential which allows for a closed-form solution for the nonlinear optical response due to ground-state to continuum transitions. It side-steps evaluation of the wave function, and offers more than one hundred-fold reduction in computation time in comparison to direct solution of the atomic Schrödinger equation. To illustrate the capability of our new computational approach, we apply it to the example of near-threshold harmonic generation in Xenon, and we also present a qualitative comparison between our model and results from an in-house experiment on extreme ultraviolet generation in a femtosecond enhancement cavity.

© 2012 OSA

**OCIS Codes**

(190.4160) Nonlinear optics : Multiharmonic generation

(190.5940) Nonlinear optics : Self-action effects

(320.0320) Ultrafast optics : Ultrafast optics

(320.2250) Ultrafast optics : Femtosecond phenomena

(320.7110) Ultrafast optics : Ultrafast nonlinear optics

**ToC Category:**

Nonlinear Optics

**History**

Original Manuscript: June 6, 2012

Revised Manuscript: June 20, 2012

Manuscript Accepted: June 20, 2012

Published: June 29, 2012

**Citation**

M. Kolesik, E. M. Wright, J. Andreasen, J. M. Brown, D. R. Carlson, and R. J. Jones, "Space-time resolved simulation of femtosecond nonlinear light-matter interactions using a holistic quantum atomic model : Application to near-threshold harmonics," Opt. Express **20**, 16113-16128 (2012)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-14-16113

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