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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.
Local density of states in one-dimensional photonic crystals and sinusoidal superlattices / V. A. Ignatchenko, D. S. Tsikalov // Physics Procedia : Elsevier, 2017. - Vol. 86. - P. 113-116, DOI 10.1016/j.phpro.2017.01.030. - Cited References: 14
Кл.слова (ненормированные):
photonic crystals -- Green's function -- LDOS -- sinusoidal modulation -- chain fractions
Аннотация: We have calculated the local density of states (LDOS) for four Brillouin zones of a superlattice for a plane source depending on its location relative to the change in the profile of dielectricpermeability (z) of the superlattice. It is shown that the LDOS for the cases of sinusoidal and rectangular profiles of (z) are close to each other in the first and second Brillouin zones, and sharp differences between them appear beginning with the third zone. Radical changes in the LDOS occur in a rectangular superlattice with different thicknesses of adjacent layers. In this case, the function LDOS has a sharp jump at the edges of the allowed bands in the transition from one layer to another. The effects studied theoretically in this paper, can be detected and studied experimentally by the intensively developing currently methods of nanooptics. © 2017 The Authors.

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Доп.точки доступа:
Tsikalov, D. S.; Цикалов, Денис 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 Micro-Structures(2015 ; 19-20 June ; Tomsk)
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