Math @ Duke

Stephen P. Shipman, Visiting Assistant Professor
Please note: Stephen has left the Mathematics department at Duke University; some info here might not be up to date.  Contact Info:
 Education:
 B. S. Mathematics (Magna cum Laude), University of Arizona, 1990
Ph. D. Mathematics, University of Arizona, 1997
 Research Interests: Partial Differential Equations / Electromagnetics
Electromagnetic waves in photonic crystals.
Singular limits of integrable systems, continuum limits, inverse spectral theory
 Recent Publications
 Stephen P. Shipman, Stephanos Venakides, Electromagnetic Bound States, Resonances, and Transmission Anomalies in Photonic Crystal Slabs,
Submitted to SIAM J. Appl. Math.
[pdf]
 Stephen P. Shipman, The Spectral Transform in the Semiclassical Limit of a Finite Discrete NLS Chain,
Physica D: Nonlinear Phenomena, Vol. 162, Nos 12 (2002), 95129
[physd] [abs]
 M. Haider, S. Shipman, S. Venakides, Boundary Integral Calculations of Photonic Bandgaps and Resonances for 2D Lattices with Circular Dielectrics,
SIAM J. Appl. Math.
(Accepted, 0) [pdf] [abs]
 Stephen P. Shipman, WKB Analysis in the Semiclassical Limit of a Discrete NLS System,
IMA Proceedings, 2000
[abs]
 Stephen P Shipman, Modulated Waves in a Semiclassical Continuum Limit of an Integrable NLS Chain,
Communications on Pure and Applied Mathematics, Vol. LIII, No. 2
[ps] [abs]


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

