Stephen P. Shipman : Research : Publications

Stephen P. Shipman
Associate Professor
Department of Mathematics
Louisiana State University

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Research Articles of Stephen P. Shipman

[FLS09] Sub-Wavelength Plasmonic Crystals: Dispersion Relations and Effective Properties, Santiago P. Fortes, Robert P. Lipton, and Stephen P. Shipman, submitted for publication.
[Sh09b] Resonant Scattering by Open Periodic Waveguides, Stephen P. Shipman, to appear in Wave Propagation in Periodic Media: Analysis, Numerical Techniques and Practical Applications, M. Ehrhardt, ed., E-Book Series PiCP, Bentham Science Publishers, Vol. 1 (2009).
[Sh09a] Field sensitivity to L^p variations of a scatterer, Stephen P. Shipman, J. Math. Anal. Appl., Vol. 360 (2009), pp. 190-210.
[PSV08] Fano resonance of waves in periodic slabs, N. Ptitsyna, S. P. Shipman, and S. Venakides, Proceedings of the 12th International Conference on Mathematical Methods in Electrodynamic Theory (MMET08 Odesa) (2008) 73-78.
[PS08] Guided modes and anomalous scattering by a periodic lattice, N. Ptitsyna and S. P. Shipman, Proceedings of the 12th International Conference on Mathematical Methods in Electrodynamic Theory (MMET08 Odesa) (2008) 532-534.
[KoSh08] Magnetism and homogenization of micro-resonators, R. V. Kohn and S. P. Shipman, Multiscale Modeling and Simulation, Vol. 7, No. 1 (2008) 62-92.
[RaSh08] Transmission through a thick periodic slab, K. Ramdani and S. P. Shipman, Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 18, No. 4 (2008) 543-572.
[ShVo07] Guided modes in periodic slabs: existence and nonexistence, S. P. Shipman and D. Volkov, SIAM J. Appl. Math., Vol. 67, No. 3 (2007) 687-713.
[FiSh06] Open Systems Viewed Through Their Conservative Extensions, A. Figotin and S. P. Shipman, J. Stat. Phys. 125, 2 (2006) 359-409.
[FiSh05] Open Subsystems of Conservative Systems, A. Figotin and S. P. Shipman, Proceedings of ENUMath 2005, 1155-1162.
[ShVe05] Resonant transmission near non-robust periodic slab modes, S. Shipman and S. Venakides, Physical Review E, Vol. 71, 1 (2005), 026611-1-10.
[ShVo04] Existence of Guided Modes in Periodic Slabs, S. Shipman and D. Volkov, Expanded Volume of the Fourth International Conference on Dynamical Systems and Differential Equations, Pomona, CA, June 2004, 784-791.
[LiShVe03] Optimization of Resonances in Photonic Crystal Slabs, R. Lipton, S. Shipman, and S. Venakides, Proceedings of SPIE, Vol. 5184 (2003), pp. 168-177.
[ShVe03] Resonance and Bound States in Photonic Crystal Slabs, S. Shipman and S. Venakides, SIAM J. Appl. Math., Vol. 64, No. 1 (2003), pp. 322-342.
[Sh02] The Spectral Transform in the Semiclassical Limit of a Finite Discrete NLS Chain, S. P. Shipman, Physica D: Nonlinear Phenomena, Vol. 162, Nos. 1-2 (2002), 95-129.
[HaShVe02] Boundary-Integral Calculations of Two-Dimensional Electromagnetic Scattering in Infinite Photonic Crystal Slabs: Channel Defects and Resonances, M. Haider, S. Shipman, and S. Venakides, SIAM J. Appl. Math., Vol. 62 (2002), No. 6, pp. 2129-2148.
[Sh04] WKB Analysis in the Semiclassical Limit of a Discrete NLS System, S. P. Shipman, IMA Volumes in Mathematics and its Applications (2000), Springer-Verlag, 2004.
[Sh00] Modulated Waves in a Semiclassical Continuum Limit of an Integrable NLS Chain, S. P. Shipman, Communications on Pure and Applied Mathematics, Vol. LIII, No. 2 (2000), 243-279.

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