Alejandro Aceves

Alejandro Aceves obtained his B.S. degree in physics at the Universidad Nacional Autonoma de Mexico, Mexico City, in 1981, his M.S. degree in applied mathematics at the California Institute of Technology, in 1983, and his Ph.D. degree in applied mathematics at the University of Arizona, in 1988. His area of expertise is in modeling of nonlinear optics phenomena including the study of spatial and temporal soliton dynamics in fibers, waveguides, and photonic structures. Some of his most significant accomplishments include the formulation of nonlinear Snell's laws for spatial soliton transmission and reflection at an interface betweek nonlinear media (with A.C. Newell and J.V. Moloney), the modeling of multidimensional solitons in fiber arrays (with C. DeAngelis, S. Rubenchick, and S. Turitsyn), and the theoretical discovery of temporal solitary wave solutions of the equations modeling pulse propagation in fiber bragg gratings (with S. Wabnitz). Aceves has been at the University of New Mexico since 1989, where he is currently a Full Professor of Mathematics and of the Optical Science and Engineering Program. He has held visiting positions at Heriot-Watt University in the UK and in Brown University. In 2005-2006, he was Chair of the Nonlinear Waves and Coherent Structures activity group of the Society for Industrial and Applied Mathematics (SIAM) and is currently an editor of the SIAM Book series Mathematical modeling and Computation.

Biography Updated on 12 June 2007

Articles in Scholarly Journals [Incomplete List]

  1. Finite-dimensional model for defect-trapped light in planar periodic nonlinear structures
    Optics Letters, vol. 31, no. 20, p. 3013, 2006
  2. Optical Soliton Bullets in (2+1)D Nonlinear Bragg Resonant Periodic Geometries
    Studies in Applied Mathematics, vol. 115, no. 2, pp. 209–232, 2005
  3. Gap-soliton bullets in waveguide gratings
    Physica D: Nonlinear Phenomena, vol. 189, no. 3-4, pp. 277–286, 2004
  4. Preface
    Physica D: Nonlinear Phenomena, vol. 184, no. 1-4, pp. 1–2, 2003
  5. Numerical integration of Maxwell's full-vector equations in nonlinear focusing media
    Physica D: Nonlinear Phenomena, vol. 184, no. 1-4, pp. 352–375, 2003
  6. Dynamics of solitons in optical fibres
    Journal of Modern Optics, vol. 48, no. 7, pp. 1135–1150, 2001
  7. Optical gap solitons: Past, present, and future; theory and experiments
    Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 10, no. 3, p. 584, 2000
  8. Hamiltonian averaging in soliton-bearing systems with a periodically varying dispersion
    Physical Review E, vol. 59, no. 4, pp. 3843–3846, 1999
  9. Average dynamics of the optical soliton in communication lines with dispersion management: Analytical results
    Physical Review E, vol. 58, no. 1, pp. R48–R51, 1998
  10. Modulational instability and tunable multiple soliton generation in apodized fiber gratings
    Optics Communications, vol. 149, no. 4-6, pp. 267–271, 1998
  11. Fast jitter traveling wave solutions in a soliton communication line system with dispersion management
    Physics Letters A, vol. 233, no. 1-2, pp. 63–67, 1997
  12. Homoclinic orbits and chaos in a second-harmonic generating optical cavity
    Physics Letters A, vol. 233, no. 3, pp. 203–208, 1997
  13. Bistable and tristable soliton switching in collinear arrays of linearly coupled waveguides
    Physical Review E, vol. 56, no. 1, pp. 1113–1123, 1997
  14. Discrete self-trapping, soliton interactions, and beam steering in nonlinear waveguide arrays
    Physical Review E, vol. 53, no. 1, pp. 1172–1189, 1996
  15. Energy Localization in Nonlinear Fiber Arrays: Collapse-Effect Compressor
    Physical Review Letters, vol. 75, no. 1, pp. 73–76, 1995
  16. Control of Optical Soliton Interactions
    Optical Fiber Technology, vol. 1, no. 3, pp. 187–217, 1995
  17. Optical Pulse Compression Using Fiber Arrays
    Optical Fiber Technology, vol. 1, no. 3, pp. 244–246, 1995
  18. All-optical-switching and pulse amplification and steering in nonlinear fiber arrays
    Physica D: Nonlinear Phenomena, vol. 87, no. 1-4, pp. 262–272, 1995
  19. Two-dimensional variational analysis of self-trapped solutions in planar waveguides
    Optics Communications, vol. 105, no. 5-6, pp. 341–346, 1994
  20. Light beam propagation in a nonlinear tapered waveguide
    Optics Communications, vol. 97, no. 5-6, pp. 373–378, 1993
  21. Spatial soliton optical switches: a soliton-based equivalent particle approach
    Optical and Quantum Electronics, vol. 24, no. 11, pp. S1269–S1293, 1992
  22. Chaotic dynamics due to competition among degenerate modes in a ring-cavity laser
    Physics Letters A, vol. 161, no. 6, pp. 499–505, 1992
  23. Transmission, reflection, and trapping of collimated light beams in diffusive Kerr-like nonlinear media
    Physical Review A, vol. 42, no. 3, pp. 1767–1774, 1990
  24. Self-induced transparency solitons in nonlinear refractive periodic media
    Physics Letters A, vol. 141, no. 1-2, pp. 37–42, 1989
  25. All-optical spatial scanner
    Applied Physics Letters, vol. 54, no. 26, p. 2631, 1989
  26. Theory of light-beam propagation at nonlinear interfaces. I. Equivalent-particle theory for a single interface
    Physical Review A, vol. 39, no. 4, pp. 1809–1827, 1989
  27. Theory of light-beam propagation at nonlinear interfaces. II. Multiple-particle and multiple-interface extensions
    Physical Review A, vol. 39, no. 4, pp. 1828–1840, 1989
  28. Snell's laws at the interface between nonlinear dielectrics
    Physics Letters A, vol. 129, no. 4, pp. 231–235, 1988