• 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