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Optics and Spectroscopy, 2019, Volume 127, Issue 2, Pages 286–290
DOI: https://doi.org/10.21883/OS.2019.08.48043.246-18
(Mi os644)
 

Nonlinear optics

Asymptotic expansion for the polarization spectrum of two-level system driven by a polychromatic field in the limit of small amplitudes

A. G. Antipov, S. A. Pul'kin, S. V. Uvarova

Saint Petersburg State University
Abstract: A two-level media driven by a polychromatic field is considered in the limit of small amplitudes. In this limit the asymptotic expansions for the polarization spectra of an arbitrary order are obtained. The obtained polarization spectra were compared with the numerical solution of the density matrix equation. Compared to numerical methods, the asymptotic expansion allows analytically estimating the contribution of each individual component of the polychromatic field and describing the intermode interaction. However, as the intensity of the acting field grows, the computational efficiency of the method decreases and to achieve the required accuracy it is necessary to increase the order of the asymptotic expansion.
Keywords: polychromatic field, polarization spectra, small amplitude limit.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-01095
This work was partially supported by the Russian Foundation for Basic Research, project no. 18-02-01095.
Received: 13.09.2018
Revised: 19.03.2019
Accepted: 09.04.2019
English version:
Optics and Spectroscopy, 2019, Volume 127, Issue 2, Pages 288–292
DOI: https://doi.org/10.1134/S0030400X19080046
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Antipov, S. A. Pul'kin, S. V. Uvarova, “Asymptotic expansion for the polarization spectrum of two-level system driven by a polychromatic field in the limit of small amplitudes”, Optics and Spectroscopy, 127:2 (2019), 286–290; Optics and Spectroscopy, 127:2 (2019), 288–292
Citation in format AMSBIB
\Bibitem{AntPulUva19}
\by A.~G.~Antipov, S.~A.~Pul'kin, S.~V.~Uvarova
\paper Asymptotic expansion for the polarization spectrum of two-level system driven by a polychromatic field in the limit of small amplitudes
\jour Optics and Spectroscopy
\yr 2019
\vol 127
\issue 2
\pages 286--290
\mathnet{http://mi.mathnet.ru/os644}
\crossref{https://doi.org/10.21883/OS.2019.08.48043.246-18}
\elib{https://elibrary.ru/item.asp?id=41131016}
\transl
\jour Optics and Spectroscopy
\yr 2019
\vol 127
\issue 2
\pages 288--292
\crossref{https://doi.org/10.1134/S0030400X19080046}
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