Alexander Figotin
Professor, Department of Mathematics, University of California at Irvine
Biography
Alexander Figotin, Ph.D., is Professor in the Department of Mathematics at the University of California at Irvine. He received a Ph.D. in Mathematics from Tashkent State University in 1980. His research focuses on mathematical physics and electromagnetic theory, with particular emphasis on photonic crystals, slow light phenomena, and the analytic theory of multi-stream electron beams in traveling wave tubes.
Figotin has secured over $9 million in research funding throughout his career, primarily from the Air Force Office of Scientific Research. His funding includes participation in multiple MURI (Multidisciplinary University Research Initiative) grants, with his most recent MURI award spanning 2020-2025. He has maintained continuous external funding support for his research program since 1991, demonstrating sustained contributions to areas of interest to the defense research community.
Figotin is the author of three books, including "Spectra of Random and Almost-Periodic Operators" with L. Pastur (Springer, 1992), "Neoclassical Theory of Electromagnetic Interactions" with A. Babin (Springer, 2016), and "An Analytic Theory of Multi-Stream Electron Beams in Traveling Wave Tubes" (World Scientific, 2020). He has published over 115 peer-reviewed articles on topics ranging from spectral theory of random operators and localization phenomena to electromagnetic wave propagation in complex media, photonic crystals, and the fundamental theory of electromagnetic interactions. His work spans theoretical foundations in mathematical physics and applications to electromagnetic devices and materials.
Return to topEducation
- Ph.D. in Mathematics, Tashkent State University, USSR, 1980
- M.S. in Mathematics, Kharkov State University, USSR, 1976
Areas of Expertise
- Mathematical Physics
- Photonic Crystal Spectral Properties
- Localization in Random Media
- Electromagnetic Wave Propagation
- Traveling Wave Tube Dynamics
- Exceptional Points in Circuits
- Collective Cherenkov Radiation
Recent Publications
- Nikzamir A., Rouhi K., Figotin A., Capolino F., “Exceptional points in a gyrator-based circuit and high-sensitivity oscillator for nonlinear applications” (opens in new tab), Physical Review Applied, vol. 24, 2025.
- Rouhi K., Marosi R., Mealy T., Figotin A., Capolino F., “Small-Signal 1-D Model of Multistage Serpentine Waveguide Traveling Wave Tubes With Severs” (opens in new tab), IEEE Transactions on Plasma Science, vol. 53, pp. 230-238, 2025.
- Schamiloglu E., Figotin A., “The Field Theory of Collective Cherenkov Radiation Associated with Electron Beams” (opens in new tab), Physics of Plasmas, vol. 31, pp. 023101, 2024.
- Marosi R., Rouhi K., Mealy T., Figotin A., Capolino F., “Small-signal model for inhomogeneous helix traveling-wave tubes using transfer matrices” (opens in new tab), Physics of Plasmas, vol. 31, 2024.
- Rouhi K., Capolino F., Figotin A., “Simple reciprocal electric circuit exhibiting exceptional point of degeneracy” (opens in new tab), Journal of Physics A Mathematical and Theoretical, vol. 57, 2024.
- Figotin A., “Factorized form of the dispersion relations of a traveling wave tube” (opens in new tab), Journal of Mathematical Physics, vol. 65, 2024.
- Rouhi K., Marosi R., Mealy T., Figotin A., Capolino F., “Parametric Modeling of Serpentine Waveguide Traveling Wave Tubes” (opens in new tab), IEEE Transactions on Plasma Science, vol. 52, pp. 1247-1263, 2024.
- Figotin A., “Analytic theory of coupled-cavity traveling tubes” (opens in new tab), Journal of Mathematical Physics, vol. 64, pp. 042703, 2023.
- Figotin A., “Circuit synthesis based on a prescribed Lagrangian” (opens in new tab), St Petersburg Mathematical Journal, vol. 33, no. 1, pp. 262-282, 2023.
- Nikzamir A., Rouhi K., Figotin A., Capolino F., “Time modulation to manage and increase the power harvested from external vibrations” (opens in new tab), Applied Physics Letters, vol. 123, pp. 211701, 2023.
- Figotin A., “Analytic theory of coupled-cavity traveling wave tubes” (opens in new tab), Journal of Mathematical Physics, vol. 63, pp. 042705, 2023.
- Marosi R., Mealy T., Capolino F., “Three-Way Serpentine Slow Wave Structures With Stationary Inflection Point and Enhanced Interaction Impedance” (opens in new tab), IEEE Transactions on Plasma Science, vol. 50, no. 12, pp. 4820-4833, 2022.
- Figotin A., “Analytic theory of multicavity klystrons” (opens in new tab), Journal of Mathematical Physics, vol. 63, pp. 062703, 2022.
- Nikzamir A., Rouhi K., Figotin A., Capolino F., “Exceptional point in a degenerate system made of a gyrator and two unstable resonators” (opens in new tab), Physical Review A, vol. 105, pp. 032214, 2022.
- Figotin A., “Exceptional points of degeneracy in traveling wave tubes” (opens in new tab), Journal of Mathematical Physics, vol. 62, pp. 082701, 2021.
- Figotin A., “Perturbations of circuit evolution matrices with Jordan blocks”, Journal of Mathematical Physics, no. 62, pp. 042703, 2021.
- Figotin A., “Synthesis of lossless electric circuits based on prescribed Jordan forms”, Journal of Mathematical Physics, no. 61, pp. 122703, 2020.
Most Cited Publications
- Figotin A., Vitebsky I., “Nonreciprocal magnetic photonic crystals” (opens in new tab), Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 63, pp. 066609/1-066609/17, 2001.
- Figotin A., Vitebskiy I., “Electromagnetic Unidirectionality in Magnetic Photonic Crystal” (opens in new tab), Physical Review B Condensed Matter and Materials Physics, vol. 67, pp. 1-20, 2003.
- Figotin A., Vitebskiy I., “Gigantic transmission band edge resonance in periodic stacks of anisotropic layers” (opens in new tab), Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 72, pp. 036619, 2005.
- Figotin A., Godin Y.A., Vitebsky I., “Two-dimensional tunable photonic crystals” (opens in new tab), Physical Review B Condensed Matter and Materials Physics, vol. 57, pp. 2841-2848, 1998.
- Figotin A., Vitebskiy I., “Slow light in photonic crystals” (opens in new tab), Waves in Random and Complex Media, vol. 16, no. 3, pp. 293–382, 2006.
- Figotin A., Kuchment P., “Band-Gap Structure of the Spectrum of Periodic Dielectric and Acoustic Media. I. Scalar model” (opens in new tab), SIAM Journal on Applied Mathematics, vol. 56, no. 1, pp. 68-88, 1996.
- Figotin A., Kuchment P., “Band-Gap Structure of the Spectrum of Periodic Dielectric and Acoustic Media. II. 2D Photonic Crystals” (opens in new tab), SIAM Journal on Applied Mathematics, vol. 56, no. 6, pp. 1561-1620, 1996.
- Figotin A., Klein A., “Localization of Classical Waves I. Acoustic Waves” (opens in new tab), Communications in Mathematical Physics, vol. 180, pp. 439-482, 1996.
- Figotin A., Vitebskiy I., “Frozen light in photonic crystals with degenerate band edge” (opens in new tab), Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 74, pp. 066613, 2006.
- Figotin A., Vitebskiy I., “Oblique Frozen Modes in Periodic Layered Media”, Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 68, pp. 1-16, 2003.
Contact Information
Email: afigotin@uci.edu
Phone: 949-824-5506
Address: 440H Rowland Hall, Irvine, CA 92697-3875
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Last updated on 2/19/2026.