Formation of Degenerate Band Gaps in Layered Systems

Ignatov, A. I.; Merzlikin, A. M.; Levy, M.; Виноградов, А. П.

doi:10.3390/ma5061055

Cited by 9 publications

(6 citation statements)

References 54 publications

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“…An example of the resonances of the first type is shown by the rectangular frame in figure 2(a) with inset, which shows an enlarged view of the dispersion. This resonance is similar to the resonance between two electromagnetic waves, with different polarizations in PC, from which at least one is folded-back to the first BZ [1,3].…”

Section: −mentioning

confidence: 59%

“…ω(k) = ω(−k), where ω is the angular frequency and k is a wavenumber. The nonreciprocal properties of electromagnetic waves are often related with the magneto-optical interaction, which breaks the time reversal symmetry [1][2][3][4], a necessary condition of nonreciprocity (apart from broken space inversion symmetry). The discovery of nonreciprocity in photonic crystals (PCs) has opened new paths for the design of integrated photonic devices (like isolators and circulators) that have great potential for integration with semiconductor technology [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

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Nonreciprocity of spin waves in metallized magnonic crystal

et al. 2013

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and S A Nikitov Abstract. The nonreciprocal properties of spin waves in metallized onedimensional bi-component magnonic crystal composed of two materials with different magnetizations are investigated numerically. Nonreciprocity leads to the appearance of indirect magnonic band gaps for magnonic crystals with both low and high magnetization contrast. Specific features of the nonreciprocity in low contrast magnonic crystals lead to the appearance of several magnonic band gaps located within the first Brillouin zone for waves propagating along the metallized surface. Analysis of the spatial distribution of 7 Authors to whom any correspondence should be addressed.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. New Journal of Physics 15 (2013) 1130231367-2630/13/113023+11$33.00 © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft 2 dynamic magnetization amplitudes explains the mechanism of dispersion band formation and hybridization between magnonic bands in magnonic crystals with metallization. Contents

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Section: −mentioning

confidence: 59%

Section: Introductionmentioning

confidence: 99%

Nonreciprocity of spin waves in metallized magnonic crystal

et al. 2013

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“…Новые векторы состояний, согласно (6), (13) и (14), удовлетворяют следующей системе операторных уравнений:…”

Section: переход к задаче определения собственных векторов и собственunclassified

“…В настоящее время в литературе отсутствует общий подход к анализу ФК на основе периодических сред с произвольной анизотропией диэлектрической и магнитной проницаемостей. Отметим лишь работы [7][8][9][10][11][12][13][14], в которых исследовались частные случаи анизотропных и гиротропных ФК.…”

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Фотонные Кристаллы На Основе Сред С Произвольной Анизотропией Диэлектрической И Магнитной Проницаемостей

Глинский¹

2019

Журнал Технической Физики

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A general approach to analyzing eigenmodes in anisotropic and gyrotropic 3D photonic crystals based on dielectric and magnetic media is proposed. This approach is based on the representation of stationary macroscopic Maxwell equations in the operator form corresponding to the quantum-mechanical equation for a photon with spin s = 1. In these equations, the strengths of electric and magnetic fields are put into correspondence with state vectors in the complex Hilbert space. The permittivity and permeability serve as operators acting on these vectors. It is shown that the problem of determining the eigenmodes of a photonic crystal is reduced to searching for eigenvectors and eigenvalues of the Hermitian operator characterizing the spin–orbit interaction of a photon in the periodic anisotropic medium under study. It is proposed to use photon states with a certain wave vector (certain momentum) and a certain linear or circular spin polarization as a basis for the representation operator equations. One-dimensional photonic crystals are considered as an example. The influence of anisotropy and gyrotropy on the dispersion of eigenmodes in these crystals is investigated. The group velocity of the eigenmodes, momentum transferred by them, and spin angular momentum are analyzed for the case of gyrotropic media.

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“…In the structures with layers of doped semiconductor, the wave characteristics depend strongly on the magnitude and direction of the external magnetic field towards the direction of wave propagation and the structures periodicity axis. The features of propagation of electromagnetic waves in such a structure are largely associated with a gyrotropy of layers of doped semiconductor that can appear both in microwaves and optical ranges [8,9,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Modification of the transmission spectrum of the ”semiconductor-dielectric” photonic crystal in an external magnetic field

Eliseeva

Федорова

Семенцов

2017

AEM

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In this paper, some features of electromagnetic transmission of the waves of ”semiconductor dielectric” periodic Bragg structure with a finite number of periods have been investigated. In the absence of absorption, for a structure with p-type semiconductor layers, we have analyzed the dependences on the external magnetic field of photon spectrum and transmission coefficient spectrum. It has been shown that with an increasing magnetic field, there is a significant narrowing of bandwidth and broadening of band gaps, as well as formation of new band gaps in the resonance region. The boundaries of all forbidden and allowed bands are shifted to higher frequencies with the increase of the angle of radiation incidence.

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Formation of Degenerate Band Gaps in Layered Systems

Cited by 9 publications

References 54 publications

Nonreciprocity of spin waves in metallized magnonic crystal

Nonreciprocity of spin waves in metallized magnonic crystal

Фотонные Кристаллы На Основе Сред С Произвольной Анизотропией Диэлектрической И Магнитной Проницаемостей

Modification of the transmission spectrum of the ”semiconductor-dielectric” photonic crystal in an external magnetic field

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