• A. Babin and A. Figotin, Wave-corpuscle mechanics for elementary charges, arxiv Dec 2008. Pdf file.
  • A. Babin and A. Figotin, Nonlinear Dynamics of a System of Particle-Like Wavepackets, in Instability in Models Connected with Fluid Flows. I., Edited by C. Bardos and A. Fursikov, International Mathematical Series, Vol. 6, Springer, 2008. Pdf file.
  • A. Figotin and I. Vitebsky, Absorption suppression in photonic crystals, Phys. Rev. B77, 104421 (2008). Pdf file.
  • A. Figotin and I. Vitebsky, Slow-wave resonance in periodic stacks of anisotropic layers, Phys. Rev. A 76, 053839 (2007). Pdf file.
  • A. Figotin, F. Germinet, A. Klein and P. Muller Persistence of Anderson localizaiton in Schrodinger operators with decaying random potentials, Ark. Mat. 2007. Pdf file.
  • A. Figotin and J. Schenker, Hamiltonian extension and eigenfunctions for a time dispersive dissipative string, submitted, CRM Proc., 2007. Pdf file A. Figotin and J. Schenker, Hamiltonian stucture for dispersive and dissipative dynamical systems, JSP 2007. Pdf file
  • A. Figotin and S. Shipman, Open Subsystems of Conservative Systems, submitted, Springer, 2007. Pdf file
  • A. Babin and A. Figotin, Wavepacket preservation under nonlinear evolution, CMP 2008. Pdf file
  • A. Figotin and I. Vitebsky, Frozen light in photonic crystals with degenerate band edge, Phys. Rev. E74, 066613, (2006). Pdf file
  • A. Babin and A. Figotin, Linear superposition in nonlinear wave dynamics, Reviews in Mathematical Physics, Vol. 18, No. 9, 971-1053, 2006. Pdf file
  • A. Figotin and S. Shipman, Open Systems Viewed Through Their Conservative Extensions, JSP, 2006. Pdf file
  • A. Figotin and J. Schenker, Hamiltonian Treatment of Time Dispersive and Dissipative Media Within the Linear Response Theory, Journal of Computational and Applied Mathematics, (2006). Pdf file
  • A. Figotin and I. Vitebsky, Electromagnetic Unidirectionality and Frozen Modes in Magnetic Photonic Crystals, Journal of Magnetism and Magnetic Materials, 300, 117-121 (2006). Pdf file
  • A. Figotin and J. Schenker, Spectral Theory of Time Dispersive and Dissipative Systems,” Journal of Statistical Physics, 118, Nos. 1/2, (2005). Pdf file
  • G. Mumcu, K. Sertel, J. L. Volakis, A. Figotin and I. Vitebskiy RF Propagation in Finite Thickness Nonreciprocal Magnetic Photonic Crystals IEEE Transactions on Antennas and Propagation, 53, 4026 (2005). Pdf file
  • A. Figotin and I. Vitebsky, Slow light in photonic crystals, Waves in Random and Complex Media, 16, No. 3, 293–382, (2006). Pdf file
  • A. Figotin and I. Vitebsky, Gigantic transmission band edge resonance in periodic stacks of anisotropic layers, Phys. Rev. E72, 036619, (2005). Pdf file
  • J. Ballato, A. Ballato, A. Figotin and I. Vitebskiy, Frozen light in periodic stacks of anisotropic layers. Phys. Rev. E 71, 036612 (2005). Pdf file
  • A. Figotin and I. Vitebsky, Novel nonreciprocal materials based on magnetic photonic crystals, Mater. Res. Soc. Symp. Proc. Vol. 834, Materials Research Society (2005). Pdf file
  • A. Babin and A. Figotin, Nonlinear Photonic Crystals: IV. Nonlinear Schordinger Equation Regime, Waves in Random Media, 15, No.2, pp. 145-228 (2005). Pdf file
  • A. Figotin and I. Vitebsky, Magnetic Photonic Crystals as Artificial Magnetoelectric Materials, M. Fiebig et al. (eds.), Magnetoelectric Interaction Phenomena in Crystals, 291-301, (2004). Pdf file
  • A. Figotin and I. Vitebsky, Oblique Frozen Modes in Periodic Layered Media, Phys. Rev., E, 68, 036609, pp. 1-16, (2003). Pdf file
  • A. Babin and A. Figotin, Nonlinear Photonic Crystals: III. Cubic Nonlinearity, Waves in Random Media, 13, pp. R41-R69 (2003). Pdf file
  • A. Babin and A. Figotin, Nonlinear Maxwell Equations in Inhomogeneous Media, Commun. Math. Phys. 241, 519-581 (2003). Pdf file
  • A. Figotin and I. Vitebsky, Electromagnetic Unidirectionality in Magnetic Photonic Crystal, Phys. Rev., B, 67, 165210, pp. 1-20, (2003). Pdf file
  • A. Babin and A. Figotin, Multilinear Spectral Decomposition for NonlinearMaxwell Equations, Amer.Math. Soc. Transl., (2), Vol. 206, pp. 1-28, (2002). Pdf file
  • A. Babin and A. Figotin, Efect of the inversion symmetry of dispersion relations on four-wave interactions in photonic crystals, Ultra-Wideband, Short Pulse Electromagnetics 6, Kluwer Academic/Plenum Publishers, 2003, pp. 159-173. Pdf file
  • A. Babin and A. Figotin, Nonlinear Photonic Crystals: II. Interaction Classi…cation for Quadratic Nonlinearities, Waves in Random Media, 12, pp. R25-R52 (2002). Pdf file
  • A. Figotin, A. Gordon, S. Molchanov, J. Quinn and N. Stavrakas, Occupancy Numbers in Testing of Random Number Generator, SIAM J. Appl. Math, 62, No. 6, pp. 1980-2011 (2002). Pdf file
  • A. Figotin, A. Gordon, S. Molchanov, J. Quinn and N. Stavrakas, Generalized Quantum Statistics and Testing of Randomizers with and without Asymptotic Assumptions, Monter Carlo Methods and Appl., 7, No. 1-2, pp. 167-175 (2001). Pdf file
  • A. Figotin and V. Gorentsveig, Resolvent Method for Computation of Localized Defect Modes of H-polarization in 2D Photonic crystals, Phys. Rev., E, 64, 056623, pp. 1-16, (2001). Pdf file
  • A. Figotin and I. Vitebsky, Nonreciproal Magnetic Photonic Crystals, Phys. Rev. E, 63, 066609, pp. 1-17, (2001). Pdf file
  • A. Figotin and Yu. Godin, Spectral Properties of Thin-Film Photonic Crystals, SIAM J. Appl. Math., 61, No. 6, pp. 2008-2035 (2001). Pdf file
  • A. Figotin and I. Vitebsky, Spectra of Periodic Nonreciprocal Electric Circuits, SIAM J. Appl. Math., 61, No. 6, pp. 1959-1979 (2001). Pdf file
  • A. Babin and A. Figotin, Nonlinear photonic crystals: I. Quadratic nonlinearity, Waves Random Media 11 (2001) R31 R102. Pdf file
  • A. Figotin and I. Vitebsky, Nonreciprocal magnetic photonic crystals, Phys. Rev. E, Vol. 63, 066609, 1-17, (2001). Pdf file
  • A. Figotin and I. Vitebsky, Spectra of Periodic Nonreciprcoal Electric Circuits, SIAM J. Appl. Math., Vol. 61,No.6,pp.2008-2035, (2001). Pdf file
  • A. Figotin and Yu. Godin, Spectral Properties of Thin-Film Photonic Crystals, SIAM J. Appl. Math, Vol. 61,No.6, pp.1959-1979, 2001,  Pdf file
  • A. Figotin and V. Gorentsveig, Localized Electromagnetic Waves in a Periodic-Layered Dielctric Medium with a Defect, Phys. Rev. B 58, 1, pp. 180-188, (1998).  Pdf file
  • A. Figotin and P. Kuchment, Spectral properties of classical waves in high contrastperiodic periodic media, SIAM J. Appl. Math., 58, 2, pp. 683-702, (1998).  Pdf file
  • A. Figotin and A. Klein, Localization of Light in Lossless Inhomogeneous Dielectrics, J. Optical Society of America, A 15, 5, pp. 1423-1435, (1998). Pdf file
  • A. Figotin, Yu. Godin and I. Vitebsky, Tunable Photonic Crystals, Phys. Rev. B 57, 5, pp. 2841-2848, (1998).  Pdf file
  • A. Figotin and A. Klein, Midgap Defect Modes in Dielectric and Acoustic Media, SIAM J. Appl. Math., 58, 6, pp. 1748-1773, (1998).  Pdf file .
  • A. Figotin and I. Khalfin, Bound states of a one-band model for 3D periodic medium, J. of Comp. Phys., 138, pp. 153-170, (1997).  Pdf file
  • A. Figotin and Yu. Godin, The computation of spectra of some 2D photonic crystals, J. of Comp. Phys., 136, pp. 585-598, (1997).  Pdf file
  • A. Figotin and A. Klein, Localization of Classical Waves II. Electromagnetic Waves, Comm. Math. Phys., 184, pp. 411-441, (1997),  Pdf file .
  • A. Figotin and A. Klein, Localization of Classical Waves I. Acoustic Waves, Comm. Math. Phys., 180, pp. 439-482, (1996). Pdf file .
  • A. Figotin and P. Kuchment, Band-Gap Structure of the Spectrum of Periodic Dielectric and Acoustic Media. I. Scalar model, SIAM J. Appl. Math., 56, pp. 68-88, (1996).  Pdf file
  • A. Figotin and P. Kuchment, Band-Gap Structure of the Spectrum of Periodic Dielectric and Acoustic Media. II. 2D Photonic Crystals, SIAM J. Appl. Math., 56, pp. 561-1620, (1996).  Pdf file
  • A. Figotin and A. Klein, Localization Electromagnetic and Acoustic Waves in Random Media. Lattice Model, J. Stat. Phys., 76, pp. 985-1003, (1994)  Pdf file.
  • A. Figotin and A. Klein, Localization Phenomenon in Gaps of the Spectrum of Random Lattice Operators, J. Stat. Phys., 75, pp. 997-1021, (1994)  Pdf file.
  • A. Figotin, Pseudogaps for Periodic Dielectric Structures, J. Stat. Phys., 74, pp. 433-446, (1994).   Pdf file
  • A. Figotin, Existence of Gaps in the Spectrum of Periodic Structures on a Lattice, J. Stat. Phys., 73, pp. 571-585, (1993).   Pdf file

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