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    Ignatchenko, V. A.
    Magnetoelastic resonance in media with the inhomogeneous coupling parameter / V. A. Ignatchenko, D. S. Polukhin // Solid State Phenom. : Selected, peer reviewed papers. - 2014. - Vol. 215: Trends in Magnetism: Nanomagnetism (EASTMAG-2013). - P. 105-108DOI 10.4028/www.scientific.net/SSP.215.105. - Cited References: 8 . - ISSN 1662-9779
   Перевод заглавия: Магнитоупругий резонанс в среде с неоднородным параметром связи
Кл.слова (ненормированные):
Elastic waves -- Green's functions -- Inhomogeneities -- Magnetoelastic coupling -- Self-consistent approximation -- Spin waves
Аннотация: The matrix Green's function of coupled spin and elastic waves for media with the 3D inhomogeneities of the coupling parameter is studied. It has been shown that the difference in shapes of the Green's functions for the cases of 1D and 3D inhomogeneities appears only for the sufficiently large correlation wave number of the inhomogeneities. © (2014) Trans Tech Publications, Switzerland.

Доп.точки доступа:
Ovchinnikov, S. G. \ed.\; Овчинников, Сергей Геннадьевич; Samardak, A. \ed.\; Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism(5 ; 2013 ; sept. ; 15-21 ; Vladivostok)
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Ignatchenko, V. A.
Green's functions of the scalar model of electromagnetic fields in sinusoidal superlattices / V. A. Ignatchenko, D. S. Tsikalov // Physica B. - 2016. - Vol. 485. - P. 94-102, DOI 10.1016/j.physb.2016.01.006. - Cited References: 30 . - ISSN 0921-4526

РУБ Physics, Condensed Matter
Рубрики:
SCATTERING
   MEDIA
   PROPAGATION
   GRATINGS
   DENSITY
   LIGHT
Кл.слова (ненормированные):
Green's functions -- Electromagnetic waves -- Scalar model -- Sinusoidal superlattices -- Photonic crystals -- LDOS
Аннотация: Problems of obtaining Green's function and using it for studying the structure of scalar electromagnetic fields in a sinusoidal superlattice are considered. An analytical solution of equation in the k-space for Green's function is found. Green's function in the r-space is obtained by both the numerical and the approximate analytical Fourier transformation of that solution. It is shown, that from the experimental study of Green's function in the k-space the position of the plane radiation source relative to the extremes of the dielectric permittivity ?(z) can be determined. The relief map of Green's function in the r-space shows that the structure of the field takes the form of chains of islets in the plane ?z, the number of which increases with increasing the distance from a radiation source. This effect leads to different frequency dependences of Green's function at different distances from the radiation source and can be used to measure the distance to the internal source. The real component of Green's function and its spatial decay in the forbidden zones in the near field is investigated. The local density of states, depending on the position of the source in the superlattice, is calculated.

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Доп.точки доступа:
Tsikalov, D. S.; Цикалов, Денис Сергеевич; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Development of a self-consistent approximation / V. A. Ignatchenko, D. S. Polukhin // J. Phys. A. - 2016. - Vol. 49, Is. 9. - Ст. 095004, DOI 10.1088/1751-8113/49/9/095004. - Cited References: 43 . - ISSN 1751-8113

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
SUPERCONDUCTING CRITICAL-TEMPERATURE
   LATTICE-VIBRATIONS
   VERTEX FUNCTION
   ELECTRON
Кл.слова (ненормированные):
self-consistent approximation -- Green's functions -- vertex corrections -- inhomogeneities -- correlations -- dynamic susceptibility
Аннотация: A self-consistent approximation of a higher level than the standard self-consistent approximation, known in various fields of physics as the Migdal, Kraichnan or Born self-consistent approximation, is derived taking into account both the first and second terms of the series for the vertex function. In contrast to the standard approximation, the new self-consistent approximation is described by a system of two coupled nonlinear integral equations for the self-energy and the vertex function. In addition to all the diagrams with non-intersecting lines of correlation/interaction taken into account by the standard self-consistent approximation, the new approach takes into account in each term of the Green's function expansion a significant number of diagrams with intersections of these lines. Because of this, the shape, linewidth, and amplitude of the resonance peaks of the dynamic susceptibility calculated in this approximation are much closer to the exact values of these characteristics. The advantage of the new self-consistent approach is demonstrated by the example of calculation of the dynamic susceptibility of waves in an inhomogeneous medium. © 2016 IOP Publishing Ltd.

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Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Green's functions of polaritons in a medium with zero-mean inhomogeneous coupling parameter / V. A. Ignatchenko, D. S. Polukhin // Physics Procedia : Elsevier, 2017. - Vol. 86. - P. 117-121, DOI 10.1016/j.phpro.2017.01.031. - Cited References: 10
Кл.слова (ненормированные):
electromagnetic waves -- optical phonons -- crossing resonance -- polaritons -- Green's functions -- self-consistent approximation
Аннотация: Dynamic susceptibilities (Green's functions) of the interacting electromagnetic waves G”e(ω) and optical phonons G”u(ω) in a medium with zero-mean inhomogeneous coupling parameter have been considered. The calculation was performed using a self-consistent approximation for the two stochastically interacting wave fields. It is shown that on the tops of the resonance maxima of the imaginary parts of the Green functions the fine structure is formed: a minimum (dip) on the top of G”e(ω) and narrow maximum (peak) on the top of G”u(ω). With increasing the correlation wavenumber of inhomogeneities kc (i.e., with decreasing the size of inhomogeneities), the width of the peak on G”u(ω) decreases, and two resonance maxima in the function G”e(ω) are formed. Because of the large difference in the speeds of light and optical phonons, the fine structure of the polaritons is manifested itself more clearly and saved to a much larger values of kc, than for the studied earlier crossing resonance of spin and elastic waves.

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Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; International Conference on Photonics of Nano- and Bio-Structures(2015 ; 19-20 June ; Tomsk); International Conference on Photonics of Nano- and Bio-Structures(2015 ; 19-20 June ; Tomsk)
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