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High-order harmonic generation processes in classical and quantum anharmonic oscillators

Balcou, P; L'Huillier, Anne LU and Escande, D (1996) In Physical Review A (Atomic, Molecular and Optical Physics) 53(5). p.3456-3468
Abstract
We present a theoretical study of high-order harmonic generation by a slowly driven ''Duffing'' anharmonic oscillator. The power spectra are shown to display a plateau of high harmonics, which ends up with a sharp cutoff. The classical dynamics is analyzed with the adiabatic invariance theorem, which yields a simple interpretation to this characteristic behavior. We compare with the quantum case by solving numerically the time-dependent Schrodinger equation, and outline the similarity between classical damping and quantum-mechanical ionization processes. This allows us, in particular, to interpret the existence of intrinsic phases between high harmonics and the driving field. We further discuss the implication of these relaxation processes... (More)
We present a theoretical study of high-order harmonic generation by a slowly driven ''Duffing'' anharmonic oscillator. The power spectra are shown to display a plateau of high harmonics, which ends up with a sharp cutoff. The classical dynamics is analyzed with the adiabatic invariance theorem, which yields a simple interpretation to this characteristic behavior. We compare with the quantum case by solving numerically the time-dependent Schrodinger equation, and outline the similarity between classical damping and quantum-mechanical ionization processes. This allows us, in particular, to interpret the existence of intrinsic phases between high harmonics and the driving field. We further discuss the implication of these relaxation processes on the coherence of high harmonics, as well as the existence of interference processes yielding quasiresonant structures in intensity dependences. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
53
issue
5
pages
3456 - 3468
publisher
American Physical Society (APS)
external identifiers
  • scopus:0001495883
ISSN
1050-2947
DOI
10.1103/PhysRevA.53.3456
language
English
LU publication?
yes
id
fe883e8e-634c-4691-b250-659bb0daeb2e (old id 2257411)
date added to LUP
2012-02-23 23:28:18
date last changed
2017-07-30 04:51:41
@article{fe883e8e-634c-4691-b250-659bb0daeb2e,
  abstract     = {We present a theoretical study of high-order harmonic generation by a slowly driven ''Duffing'' anharmonic oscillator. The power spectra are shown to display a plateau of high harmonics, which ends up with a sharp cutoff. The classical dynamics is analyzed with the adiabatic invariance theorem, which yields a simple interpretation to this characteristic behavior. We compare with the quantum case by solving numerically the time-dependent Schrodinger equation, and outline the similarity between classical damping and quantum-mechanical ionization processes. This allows us, in particular, to interpret the existence of intrinsic phases between high harmonics and the driving field. We further discuss the implication of these relaxation processes on the coherence of high harmonics, as well as the existence of interference processes yielding quasiresonant structures in intensity dependences.},
  author       = {Balcou, P and L'Huillier, Anne and Escande, D},
  issn         = {1050-2947},
  language     = {eng},
  number       = {5},
  pages        = {3456--3468},
  publisher    = {American Physical Society (APS)},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {High-order harmonic generation processes in classical and quantum anharmonic oscillators},
  url          = {http://dx.doi.org/10.1103/PhysRevA.53.3456},
  volume       = {53},
  year         = {1996},
}