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Mechanical vibrations of freely standing smectic-A films. / Ul'yanov, S. V.; Romanov, V. P.

DD 2001 - International Seminar Day on Diffraction 2001, Proceedings. ed. / I.V. Andronov. Institute of Electrical and Electronics Engineers Inc., 2001. p. 272-280 988485 (DD 2001 - International Seminar Day on Diffraction 2001, Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Ul'yanov, SV & Romanov, VP 2001, Mechanical vibrations of freely standing smectic-A films. in IV Andronov (ed.), DD 2001 - International Seminar Day on Diffraction 2001, Proceedings., 988485, DD 2001 - International Seminar Day on Diffraction 2001, Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 272-280, International Seminar in Day on Diffraction, DD 2001, St. Petersburg, Russian Federation, 29/05/01. https://doi.org/10.1109/DD.2001.988485

APA

Ul'yanov, S. V., & Romanov, V. P. (2001). Mechanical vibrations of freely standing smectic-A films. In I. V. Andronov (Ed.), DD 2001 - International Seminar Day on Diffraction 2001, Proceedings (pp. 272-280). [988485] (DD 2001 - International Seminar Day on Diffraction 2001, Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2001.988485

Vancouver

Ul'yanov SV, Romanov VP. Mechanical vibrations of freely standing smectic-A films. In Andronov IV, editor, DD 2001 - International Seminar Day on Diffraction 2001, Proceedings. Institute of Electrical and Electronics Engineers Inc. 2001. p. 272-280. 988485. (DD 2001 - International Seminar Day on Diffraction 2001, Proceedings). https://doi.org/10.1109/DD.2001.988485

Author

Ul'yanov, S. V. ; Romanov, V. P. / Mechanical vibrations of freely standing smectic-A films. DD 2001 - International Seminar Day on Diffraction 2001, Proceedings. editor / I.V. Andronov. Institute of Electrical and Electronics Engineers Inc., 2001. pp. 272-280 (DD 2001 - International Seminar Day on Diffraction 2001, Proceedings).

BibTeX

@inproceedings{3d38ac6214a24d3187ff190c759182d0,
title = "Mechanical vibrations of freely standing smectic-A films",
abstract = "The time-dependent layer displacement-layer displacement correlation functions are analyzed in a free standing thin smectic-A films with the help of the discrete layer model. The film motions are described using the Chebyshev polynomials of second kind, Un(x). The dependencies of the eigenmodes on the wave number q⊥ were analyzed. For small q⊥ one mode is a low frequency acoustic wave and other modes are high frequency optical oscillations. The rather simple expression for the susceptibility matrix and for spectral densities of layer displacement correlation functions were obtained using the Chebyshev polynomials. The obtained results allow one to explain the experimental results on dynamic scattering and diffraction of X-rays in smectic-A films.",
author = "Ul'yanov, {S. V.} and Romanov, {V. P.}",
note = "Publisher Copyright: {\textcopyright} 2001 Day on Diffraction, Fac. Of Phys., SPbU. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.; International Seminar in Day on Diffraction, DD 2001 ; Conference date: 29-05-2001 Through 31-05-2001",
year = "2001",
doi = "10.1109/DD.2001.988485",
language = "English",
series = "DD 2001 - International Seminar Day on Diffraction 2001, Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "272--280",
editor = "I.V. Andronov",
booktitle = "DD 2001 - International Seminar Day on Diffraction 2001, Proceedings",
address = "United States",

}

RIS

TY - GEN

T1 - Mechanical vibrations of freely standing smectic-A films

AU - Ul'yanov, S. V.

AU - Romanov, V. P.

N1 - Publisher Copyright: © 2001 Day on Diffraction, Fac. Of Phys., SPbU. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2001

Y1 - 2001

N2 - The time-dependent layer displacement-layer displacement correlation functions are analyzed in a free standing thin smectic-A films with the help of the discrete layer model. The film motions are described using the Chebyshev polynomials of second kind, Un(x). The dependencies of the eigenmodes on the wave number q⊥ were analyzed. For small q⊥ one mode is a low frequency acoustic wave and other modes are high frequency optical oscillations. The rather simple expression for the susceptibility matrix and for spectral densities of layer displacement correlation functions were obtained using the Chebyshev polynomials. The obtained results allow one to explain the experimental results on dynamic scattering and diffraction of X-rays in smectic-A films.

AB - The time-dependent layer displacement-layer displacement correlation functions are analyzed in a free standing thin smectic-A films with the help of the discrete layer model. The film motions are described using the Chebyshev polynomials of second kind, Un(x). The dependencies of the eigenmodes on the wave number q⊥ were analyzed. For small q⊥ one mode is a low frequency acoustic wave and other modes are high frequency optical oscillations. The rather simple expression for the susceptibility matrix and for spectral densities of layer displacement correlation functions were obtained using the Chebyshev polynomials. The obtained results allow one to explain the experimental results on dynamic scattering and diffraction of X-rays in smectic-A films.

UR - http://www.scopus.com/inward/record.url?scp=84952772063&partnerID=8YFLogxK

U2 - 10.1109/DD.2001.988485

DO - 10.1109/DD.2001.988485

M3 - Conference contribution

AN - SCOPUS:84952772063

T3 - DD 2001 - International Seminar Day on Diffraction 2001, Proceedings

SP - 272

EP - 280

BT - DD 2001 - International Seminar Day on Diffraction 2001, Proceedings

A2 - Andronov, I.V.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Seminar in Day on Diffraction, DD 2001

Y2 - 29 May 2001 through 31 May 2001

ER -

ID: 76496948