• Figotin A., Circuit synthesis based on a prescribed Lagrangian, Algebra and Analysis, 33, no. 1, pp. 262-282, (2023).
  • Figotin A., Analytic theory of coupled-cavity traveling tubes, J. of Math. Phys., 64, 042703 (2023).
  • Nikzamir A., Rouhi K., Figotin A. and Capolino F., "Exceptional point in a degenerate system made of a gyrator and two unstable resonators", Phys. Revew A, 105, 032214 (2022).
  • Nikzamir A., Rouhi K., Figotin A. and Capolino F., " How to Achieve Exceptional Points in Coupled Resonators Using a Gyrator or PT-symmetry, and in a Time-Modulated Single Resonator - High Sensitivity to Perturbations, EPJ Appl. Metamat., 9, no. 14, pp. 1–15, (2022).
  • Figotin A., Analytic theory of multicavity klystrons, J. of Math. Phys., 63, 062703 (2022).
  • Figotin A. and Reyes G., "Generalized Pierce Model from the Lagrangian, chapter in “High Power Microwave Sources and Technologies Using Metamaterials”, 1st ed.. Edited by John Luginsland, Jason A. Marshall, Arje Nachman, and Edl Schamiloglu, IEEE-Wiley, 2022.
  • Abdelshafy A., Othman M., Figotin A. and Capolino F. "Multitransmission Line Model for Slow Wave Structures Interacting with Electron Beams and Multimode Synchronization", chapter in “High Power Microwave Sources and Technologies Using Metamaterials”, 1st ed.. Edited by John Luginsland, Jason A. Marshall, Arje Nachman, and Edl Schamiloglu, IEEE-Wiley, 2022.
  • Nikzamir A., Rouhi K., Figotin A. and Capolino F., "High-sensitivity in various gyrator-based circuits with exceptional points of degeneracy", EPJ Appl. Metamat., 9, no. 8, pp. 1–10, (2022).
  • Marosi R., Mealy T., Figotin A. and Capolino F., "Three-Way Serpentine Slow Wave Structures With Stationary Inflection Point and Enhanced Interaction Impedance", IEEE Trans. Plasma Sci., 50, no. 12, pp. 4820–4833, (2022).
  • Rouhi K., Marosi R., Mealy T., Figotin A. and Capolino F., "Exceptional degeneracies in traveling wave tubes with dispersive slow-wave structure including space-charge effect", Applied Physics Letters, 118, 263506 (2021). (with Rouhi K., Marosi R., Mealy T. and Capolino F.)
  • Figotin A., "Perturbations of circuit evolution matrices with Jordan blocks", J. of Math. Phys., 62, 042703 (2021).
  • Figotin A. "Exceptional points of degeneracy in traveling wave tubes", J. of Math. Phys., 62, 0827001 (2021).
  • de Alleluia A., Abdelshafy A., Ragulis P., Kuskov A., Andreev D., Othman M., Martinez-Hernandez, Schamiloglu E., Figotin A. and Capolino F. "Experimental Testing of a 3-D-Printed Metamaterial Slow Wave Structure for High-Power Microwave Generation", IEEE Trans. Plasma Sci., 48, no. 11, pp. 1906–1910, (2020).
  • Rouhi K., Kazemi H., Figotin A. and Capolino F. "Exceptional Points of Degeneracy Directly Inducedby Space–Time Modulation of a Single Transmission Line", IEEE Antennas and Wireless Propagation Letters, 19, no. 11, pp. 1906–1910, (2020).
  • M. Veysi, M. A. K. Othman, A. Figotin, and F. Capolino, "Degenerate Band Edge Laser", PRB, 2018.
  • F. Yazdi, M. A. K. Othman, M. Veysi, A. Figotin, F. Capolino, "A New Amplification Regime for Traveling Wave Tubes with Third Order Modal Degeneracy", IEEE Trans Plasma Sci., vol. 46, 43-56 (2018).
  • M. Othman, F. Yazdi, A. Figotin, and F. Capolino, "Giant gain enhancement in photonic crystals with a degenerate band edge", Phys. Rev. B, vol. 93, 024301-1-10 (2016).
  • M. Othman, M. Veysi, A. Figotin, and F. Capolino, "Giant amplification in degenerate band edge slow-wave structures interacting with an electron beam", Phys. Plasmas, vol. 23, 033112-1-11 (2016).
  • V. Tamma, A. Figotin, and F. Capolino, "Concept for pulse compression device using structured spatial energy distribution", IEEE Trans. on Microwave Theory and Techn., vol. 64, 742-755 (2016).
  • M. Othman, M. Veysi, A. Figotin, and F. Capolino, "Low starting electron beam current in degenerate band edge oscillators", IEEE Trans Plasma Sci., vol. 44, 918-929 (2016).
  • A. Figotin and G. Reyes, "Lagrangian Variational Framework for Boundary Value Problems", J. Math. Phys., vol. 56, 093506-1-35 (2015).
  • A. Figotin and Welters A., "Lagrangian framework for systems composed of high-loss and lossless components", Journal of Mathematical Physics, 55, 062902 (2014), (with Welters A.)
  • A. Figotin and G. Reyes, "Multi-transmission-line-beam interactive system", J. Math Phys., vol. 54, 111901 (2013).
  • Babin A. and Figotin A., "Newton's law for a trajectory of concentration of solutions to Nonlinear Schrodinger equation", Communications on Pure and Applied Analysis, 13, No.5, 1685-1718, (2014).
  • Figotin A. and Vitebskiy I., "Electromagnetic Unidirectionality in Magnetic Photonic Crystals", Chapter 3 in Inoue et al. (eds.), Magnetophotonics, Springer Series in Materials Science 178, 2013.
  • Babin A. and Figotin A., "Relativistic Point Dynamics and Einstein Formula as a Property of Localized Solutions of a Nonlinear Klein-Gordon Equation", Comm. Math. Phys., 322, 453-499 (2013)
  • Figotin A. Reyes G., "Multi-transmission-line-beam interactive system", J. of Math. Phys., 54, 111901(1-35) (2013)
  • A. Figotin and Welters A., "Dissipative properties of systems composed of high-loss and lossless components", J. of Math. Phys., 53, 123508 (1-40), (2012)
  • Babin A. and Figotin A., "Relativistic dynamics of accelerating particles derived from field equations", Found. of Phys. (2012)
  • Babin A. and Figotin A., "Electrodynamics of balanced charges", Found. of Phys., 41, 242-260 (2011)
  • Figotin A. and Vitebskiy I., "Slow Wave Phenomena in Photonic Crystals", Laser & Photonic Reviews, 1-13, (2011)
  • Noh H., Yang J., Ilya Vitebskiy I., Figotin A., and Cao H., "Giant resonances near the split band edges of two-dimensional photonic crystals", Phys. Rev. A, 82, 013801 (2010)
  • Figotin A. and Vitebskiy I., "Magnetic Faraday rotation in lossy photonic structures", Waves in Random and Complex Media, 20, No. 2, 298-318 (2010)
  • Babin A. and Figotin A., "Some mathematical problems in a neoclassical theory of electric charges', Dicrete and Continuous Dynamical Systems, 27, 4, 2010
  • Babin A. and Figotin A., "Wave-corpuscle mechanics for elementary charges', Journal of Statistical Physics, 138, 912-954, (2010)
  • Vinogradov A. , Lozovik Yu., Merzlikin A., Dorofeenko A., Vitebskiy I., Figotin A., Granovsky A. and A. Lisyansky A., 'Inverse Borrmann effect in photonic crystals', Phys. Rev. B, 80, 235106 (2009)
  • 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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