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Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator.

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Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator. / Dykman, Mark; Luchinsky, D. G.; Mannella, R. et al.
In: Physical Review E, Vol. 54, No. 3, 09.1996, p. 2366-2377.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Dykman M, Luchinsky DG, Mannella R, McClintock PVE, Soskin SM, Stein ND. Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator. Physical Review E. 1996 Sept;54(3):2366-2377. doi: 10.1103/PhysRevE.54.2366

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Dykman, Mark ; Luchinsky, D. G. ; Mannella, R. et al. / Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator. In: Physical Review E. 1996 ; Vol. 54, No. 3. pp. 2366-2377.

Bibtex

@article{455b22c2a5e04659936eed2a87376f6a,
title = "Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator.",
abstract = "The effect of fluctuations on the nonlinear response of an underdamped oscillator to an external periodic field at a subharmonic frequency has been investigated theoretically, numerically, and with an analog electronic circuit model. The system studied has often been analyzed in nonlinear optics in the context of two-photon absorption and second-harmonic generation. We consider its nonlinear spectroscopy. Its resonant nonlinear response is described over a broad range of the fluctuation intensities. It is shown that the fluctuation intensity can be used to {"}tune{"} the oscillator so as to maximize the nonlinear response. The dependence of the absorption cross section on the fluctuation intensity displays a clearly resolved maximum. If the eigenfrequency of the oscillator is a nonmonotonic function of its energy, the signal at the second harmonic displays a resonant peak at one of two different frequencies, depending on the noise intensity.",
author = "Mark Dykman and Luchinsky, {D. G.} and R. Mannella and McClintock, {Peter V. E.} and Soskin, {Stanislav M.} and Stein, {N. D.}",
year = "1996",
month = sep,
doi = "10.1103/PhysRevE.54.2366",
language = "English",
volume = "54",
pages = "2366--2377",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "3",

}

RIS

TY - JOUR

T1 - Resonant subharmonic absorption and second-harmonic generation by a fluctuating nonlinear oscillator.

AU - Dykman, Mark

AU - Luchinsky, D. G.

AU - Mannella, R.

AU - McClintock, Peter V. E.

AU - Soskin, Stanislav M.

AU - Stein, N. D.

PY - 1996/9

Y1 - 1996/9

N2 - The effect of fluctuations on the nonlinear response of an underdamped oscillator to an external periodic field at a subharmonic frequency has been investigated theoretically, numerically, and with an analog electronic circuit model. The system studied has often been analyzed in nonlinear optics in the context of two-photon absorption and second-harmonic generation. We consider its nonlinear spectroscopy. Its resonant nonlinear response is described over a broad range of the fluctuation intensities. It is shown that the fluctuation intensity can be used to "tune" the oscillator so as to maximize the nonlinear response. The dependence of the absorption cross section on the fluctuation intensity displays a clearly resolved maximum. If the eigenfrequency of the oscillator is a nonmonotonic function of its energy, the signal at the second harmonic displays a resonant peak at one of two different frequencies, depending on the noise intensity.

AB - The effect of fluctuations on the nonlinear response of an underdamped oscillator to an external periodic field at a subharmonic frequency has been investigated theoretically, numerically, and with an analog electronic circuit model. The system studied has often been analyzed in nonlinear optics in the context of two-photon absorption and second-harmonic generation. We consider its nonlinear spectroscopy. Its resonant nonlinear response is described over a broad range of the fluctuation intensities. It is shown that the fluctuation intensity can be used to "tune" the oscillator so as to maximize the nonlinear response. The dependence of the absorption cross section on the fluctuation intensity displays a clearly resolved maximum. If the eigenfrequency of the oscillator is a nonmonotonic function of its energy, the signal at the second harmonic displays a resonant peak at one of two different frequencies, depending on the noise intensity.

U2 - 10.1103/PhysRevE.54.2366

DO - 10.1103/PhysRevE.54.2366

M3 - Journal article

VL - 54

SP - 2366

EP - 2377

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 3

ER -