Professor, Department Chair
Professor (Ph.D. 1988, University of Arizona)
Nonlinear wave phenomena, perturbation, multi-scale and numerical methods applied to nonlinear optics and photonics, soliton dynamics.
Professor Aceves' research focuses on the mathematical modeling of phenomena in nonlinear optics. By using techniques from perturbation theory and asymptotics together with numerical simulations, this research studies the pulse dynamics in nonlinear optical media. Most recent work includes light localization in optical fiber arrays, trapping of light in waveguide gratings and ultraviolet light filament formation in the atmosphere.
Besides working with his current PhD students, other collaborations include scientists at the Air Force Research Laboratory, the Department of Physics and Astronomy at the University of New Mexico and with the Electromagnetism and Photonics group at the Universita di Brescia in Italy. Recent work has appeared in Physica D, Studies in Applied Mathematics, Physical Review A, and Optics Communications. For the past five years, he has been an affiliate of the Mathematical Modeling and Analysis group (T7) of the Theoretical Division at the Los Alamos National Laboratory.