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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2257411
- author
- Balcou, P
; L'Huillier, Anne
LU
and Escande, D
- organization
- publishing date
- 1996
- 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
- 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
- 2016-04-04 08:54:24
- date last changed
- 2022-01-29 07:34:14
@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}},
series = {{Physical Review A (Atomic, Molecular and Optical Physics)}},
title = {{High-order harmonic generation processes in classical and quantum anharmonic oscillators}},
url = {{https://lup.lub.lu.se/search/files/5204909/2297023.pdf}},
doi = {{10.1103/PhysRevA.53.3456}},
volume = {{53}},
year = {{1996}},
}