Search Results - "Figotin, A."
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Slow wave phenomena in photonic crystals
Published in Laser & photonics reviews (01-03-2011)“…Slow light in photonic crystals and other periodic structures is associated with stationary points of the photonic dispersion relation, where the group…”
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Spectral theory of time dispersive and dissipative systems
Published in Journal of statistical physics (2005)Get full text
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Magnetic Faraday rotation in lossy photonic structures
Published in Waves in random and complex media (01-05-2010)“…Magnetic Faraday rotation is widely used in optics and microwaves (MW). In uniform magneto-optical materials, this effect is very weak. One way to enhance it…”
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RF propagation in finite thickness unidirectional magnetic photonic crystals
Published in IEEE transactions on antennas and propagation (01-12-2005)“…This paper presents an analysis of a new class of magnetic photonic crystals (MPCs) constructed from periodic arrangements of available (possibly anisotropic)…”
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Nonreciprocal magnetic photonic crystals
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-06-2001)“…We study band dispersion relations omega(k-->) of a photonic crystal with at least one of the constitutive components being a magnetically ordered material. It…”
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Second-Order Exceptional Point of Degeneracy in Two Directly Coupled Resonator
Published in 2024 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM) (09-01-2024)“…An exceptional point of degeneracy (EPD) occurs when two or more eigenvalues and their corresponding eigenvectors coalesce. In the past, EPDs in coupled…”
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Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals
Published in SIAM journal on applied mathematics (01-12-1996)“…We consider the two-component dielectric medium consisting of a periodic array of parallel air columns of square cross section embedded into a lossless…”
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Localized classical waves created by defects
Published in Journal of statistical physics (01-01-1997)Get full text
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Exceptional Points of Degeneracy Induced by Time-Periodic Modulation
Published in 2023 Seventeenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials) (11-09-2023)“…An exceptional point of degeneracy (EPD) is a point in parameter space where at least two eigenvalues and eigenvectors of a system coalesce. We explore the…”
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Conference Proceeding -
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Two resonators with negative and positive reactive components to achieve an exceptional point of degeneracy
Published in 2022 Sixteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials) (12-09-2022)“…We present a scheme supporting an exceptional point of degeneracy (EPD) using connected Foster and non-Foster resonators. One resonator contains positive…”
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Conference Proceeding -
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Spectral Properties of Classical Waves in High-Contrast Periodic Media
Published in SIAM journal on applied mathematics (01-04-1998)“…We introduce and investigate the band gap structure of the frequency spectrum for classical electromagnetic and acoustic waves in a high-contrast,…”
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Exceptional Points of Degeneracy in Gyrator-Based Coupled Resonator Circuit
Published in 2021 Fifteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials) (20-09-2021)“…We propose a high-sensitive circuit scheme based on an exceptional point of degeneracy (EPD) using two LC resonators coupled with a gyrator. EPD is a point in…”
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Nonlinear photonic crystals: IV. Nonlinear Schrödinger equation regime
Published in Waves in random and complex media (01-05-2005)“…We study here the nonlinear Schrödinger (NLS) equation as the first term in a sequence of approximations for an electromagnetic (EM) wave propagating according…”
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Wavepacket Preservation Under Nonlinear Evolution
Published in Communications in mathematical physics (01-03-2008)Get full text
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Oblique frozen modes in periodic layered media
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-09-2003)“…We study the classical scattering problem of a plane electromagnetic wave incident on the surface of semi-infinite periodic stratified media incorporating…”
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Existence of gaps in the spectrum of periodic dielectric structures on a lattice
Published in Journal of statistical physics (01-11-1993)Get full text
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Absorption suppression in photonic crystals
Published in Physical review. B, Condensed matter and materials physics (01-03-2008)Get full text
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Frozen light in photonic crystals with degenerate band edge
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-12-2006)“…Consider a plane monochromatic wave incident on a semi-infinite periodic structure. What happens if the normal component of the transmitted wave group velocity…”
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Occupancy Numbers in Testing Random Number Generators
Published in SIAM journal on applied mathematics (01-07-2002)“…The classical occupancy problem where n balls are placed in N cells is used for testing of random number generators. We show that the statistics of…”
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Frozen light in periodic stacks of anisotropic layers
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-03-2005)“…We consider a plane electromagnetic wave incident on a periodic stack of dielectric layers. One of the alternating layers has an anisotropic refractive index…”
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