Research Articles of Stephen P. Shipman

• [PSV08] Fano Resonance of Waves in Periodic Slabs, N. Ptitsyna, S. P. Shipman, and S. Venakides,
  arXiv preprint (for submission to MMET08 Odessa), 2008.
• [KoSh08] Magnetism and homogenization of micro-resonators, R. V. Kohn and S. P. Shipman,
  to be published in Multiscale Modeling and Simulation (2008).
• [RaSh08] Transmission through a thick periodic slab, K. Ramdani and S. P. Shipman,
  to be published in Mathematical Models and Methods in Applied Sciences (M3AS), Vol. 04 (2008).
• [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.