Search Results - "Figotin, A."

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  1. 1

    Slow wave phenomena in photonic crystals by Figotin, A., Vitebskiy, I.

    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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    Journal Article
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    Magnetic Faraday rotation in lossy photonic structures by Figotin, A., Vitebskiy, I.

    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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    Journal Article
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    RF propagation in finite thickness unidirectional magnetic photonic crystals by Mumcu, G., Sertel, K., Volakis, J.L., Vitebskiy, I., Figotin, A.

    “…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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    Journal Article
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    Nonreciprocal magnetic photonic crystals by Figotin, A, Vitebsky, I

    “…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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    Journal Article
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    Second-Order Exceptional Point of Degeneracy in Two Directly Coupled Resonator by Rouhi, K., Nikzamir, A., Figotin, A., Capolino, F.

    “…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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    Conference Proceeding
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    Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals by Figotin, A., Kuchment, P.

    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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    Journal Article
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    Exceptional Points of Degeneracy Induced by Time-Periodic Modulation by Rouhi, K., Nikzamir, A., Figotin, A., Capolino, F.

    “…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 by Rouhi, K., Nikzamir, A., Figotin, A., Capolino, F.

    “…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 by Figotin, A., Kuchment, P.

    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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    Journal Article
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    Exceptional Points of Degeneracy in Gyrator-Based Coupled Resonator Circuit by Nikzamir, A., Rouhi, K., Figotin, A., Capolino, F.

    “…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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    Conference Proceeding
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    Nonlinear photonic crystals: IV. Nonlinear Schrödinger equation regime by Babin, A., Figotin, A.

    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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    Journal Article
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    Oblique frozen modes in periodic layered media by Figotin, A, Vitebskiy, I

    “…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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    Journal Article
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    Frozen light in photonic crystals with degenerate band edge by Figotin, Alex, Vitebskiy, Ilya

    “…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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    Journal Article
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    Occupancy Numbers in Testing Random Number Generators by Figotin, A., Gordon, A., Molchanov, S., Quinn, J., Stavrakas, N.

    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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    Journal Article
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    Frozen light in periodic stacks of anisotropic layers by Ballato, J, Ballato, A, Figotin, A, Vitebskiy, I

    “…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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    Journal Article