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Research Articles of Stephen P. Shipman
 [BSTV17]
Threedimensional quasiperiodic shifted Green function
throughout the spectrum, including Wood anomalies,
Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides,
Proc. R. Soc. Lond. A (in press).
 [GS17]
ShortTime Nonlinear Effects in the ExcitonPolariton System,
Cristi D. Guevara and Stephen P. Shipman,
J. Nonlinear Sci. DOI 10.1007/s0033201794199 (2017).
Preprint.
Conference Proceeding:
ShortTime Behavior of the ExcitonPolariton Equations,
Proceedings of the XXXV Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 2016.
 [SSS16]
LorentzConformal Transformations in the Plane,
Barbara A. Shipman, Patrick D. Shipman, and Stephen P. Shipman,
Expositiones Mathematicae, Vol. 35, Issue 1, (2017) 5485.
 [ST16]
Spectra of semiinfinite quantum graph tubes,
Stephen P. Shipman and Jeremy Tillay,
Lett. Math. Phys., 106(10) 13171343 DOI 10.1007/s1100501608724 (2016).
 [BSTV16]
Superalgebraically Convergent SmoothlyWindowed Lattice Sums for Doubly Periodic Green Functions in ThreeDimensional Space,
Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides,
Proc. R. Soc. Lond. A (2016).
 [SW16]
Pathological scattering by a defect in a slowlight periodic layered medium,
Stephen P. Shipman and Aaron T. Welters,
J. Math. Phys. 57 (2016) 022902.
(link to online publication)
 [AS16]
Dynamic Resonance in the HighQ and NearMonochromatic Regime,
Gayan S. Abeynanda and Stephen P. Shipman,
Proceedings of the 16th International Conference on Mathematical Methods in Electrodynamic Theory (MMET16 Lviv) (2016).
 [KSV16]
Lossless Polariton Solitons,
Stavros Komineas, Stephen P. Shipman, and Stephanos Venakides,
Physica D 316 (2016) 4356.
 [KSV15]
Continuous and discontinuous dark solitons in polariton condensates,
Stavros Komineas, Stephen P. Shipman, and Stephanos Venakides,
Physical Review B 91(13), 134503 (2015).
 [S14]
Eigenfunctions of Unbounded Support for Embedded Eigenvalues of Locally Perturbed Periodic Graph Operators,
Stephen P. Shipman,
Communications in Mathematical Physics: Volume 332, Issue 2 (2014) 605626.
(link to online publication).
 [BSTV13]
Efficient Evaluation of Doubly Periodic Green Functions in 3D Scattering, Including Wood Anomaly Frequencies,
Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides,
arXiv:1307.1176 (2013) 36 p.
 [SW13]
Resonant electromagnetic scattering in anisotropic layered media,
Stephen P. Shipman and Aaron T. Welters,
Journal of Mathematical Physics, Vol. 54, Issue 10 (2013) 103511:140.
 [DSSW13]
Resonances of a Potential Well with a Thick Barrier,
David C. Dobson, Fadil Santosa, Stephen P. Shipman, and Michael I. Weinstein,
SIAM J. Appl. Math., Vol. 73, No. 4 (2013) 14891512.
 [SW12]
Resonance in Anisotropic Layered Media,
Stephen P. Shipman and Aaron Welters,
Proceedings of the 14th International Conference on Mathematical Methods in Electrodynamic Theory (MMET12 Kharkov) (2012) 6 p.
 [SV12]
An Exactly Solvable Model for Nonlinear Resonant Scattering,
Stephen P. Shipman and Stephanos Venakides,
Nonlinearity, Vol. 25, No. 9 (2012) 24732501.
Conference proc. (2011).
 [ST12]
Total Resonant Transmission and Reflection by Periodic Structures,
Stephen P. Shipman and Hairui Tu,
SIAM J. Appl. Math., Vol. 72, No. 1 (2012) 216239.
 [PS12]
A lattice model for resonance in open periodic waveguides,
Natalia Ptitsyna and Stephen P. Shipman,
DCDSS (Discret. Contin. Dyn. Sys. Series S) Vol. 5, No. 5 (2012) 9891020.
 [BSTV11]
Efficient Solution of Acoustic and Electromagnetic Scattering Problems in ThreeDimensional 2DPeriodic Media,
Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, and Stephanos Venakides,
Proceedings of the 10th International Conference on Mathematical and Numerical Aspects of Waves (2011) 4 p.
 [FLS11]
Convergent Power Series for Fields in Positive or Negative HighContrast Periodic Media,
Santiago P. Fortes, Robert P. Lipton, and Stephen P. Shipman,
Comm. PDE, Vol. 36, Issue 6 (2011) 10161043.
 [SRSW10]
A Discrete Model for Resonance near Embedded Bound States,
Stephen P. Shipman, Jennifer Ribbeck, Katherine H. Smith, and Clayton Weeks,
IEEE Photonics Journal, Vol. 2, No. 6 (2010) 911923. [NSF VIGRE project, Spring 2009]
 [Sh10b]
Power Series for Waves in MicroResonator Arrays,
Stephen P. Shipman,
Proceedings of the 13th International Conference on Mathematical Methods in Electrodynamic Theory (MMET10 Kyiv) (2010).
 [FLS10a]
SubWavelength Plasmonic Crystals: Dispersion Relations and Effective Properties,
Santiago P. Fortes, Robert P. Lipton, and Stephen P. Shipman, Proc. R.
Soc. Lond. A Mat., doi:10.1098/rspa.2009.0542 (2010).
 [Sh10a]
Resonant Scattering by Open Periodic Waveguides,
Stephen P. Shipman, Chapter 2 in Wave Propagation in Periodic Media: Analysis, Numerical
Techniques and Practical Applications, M. Ehrhardt, ed.,
EBook Series PiCP, Bentham Science Publishers, Vol. 1 (2010).
 [Sh09]
Field sensitivity to L^{p} variations of a scatterer,
Stephen P. Shipman, J. Math. Anal. Appl., Vol. 360 (2009) 190210.
 [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) 7378.
 [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) 532534.
 [KoSh08]
Magnetism and homogenization of microresonators,
R. V. Kohn and S. P. Shipman,
SIAM J. on Multiscale Modeling and Simulation, Vol. 7, No. 1 (2008) 6292.
 [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) 543572.
 [ShVo07]
Guided modes in periodic slabs: existence and nonexistence,
S. P. Shipman and D. Volkov,
SIAM J. Appl. Math., Vol. 67, No. 3 (2007) 687713.
 [FiSh06]
Open Systems Viewed Through Their Conservative Extensions,
A. Figotin and S. P. Shipman,
J. Stat. Phys. 125, 2 (2006) 359409.
 [FiSh05]
Open Subsystems of Conservative Systems, A. Figotin and S. P. Shipman,
Proceedings of ENUMath 2005, 11551162.
 [ShVe05]
Resonant transmission near nonrobust periodic slab modes,
S. Shipman and S. Venakides,
Physical Review E, Vol. 71, 1 (2005), 026611110.
 [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, 784791.
 [LiShVe03]
Optimization of Resonances in Photonic Crystal Slabs, R. Lipton, S. Shipman, and S. Venakides,
Proceedings of SPIE, Vol. 5184 (2003), pp. 168177.
 [ShVe03]
Resonance and Bound States in Photonic Crystal Slabs,
S. Shipman and S. Venakides,
SIAM J. Appl. Math., Vol. 64, No. 1 (2003), pp. 322342.
 [Sh02]
The Spectral Transform in the Semiclassical Limit of a Finite Discrete NLS Chain,
S. P. Shipman,
Physica D: Nonlinear Phenomena, Vol. 162, Nos. 12 (2002), 95129.
 [HaShVe02]
BoundaryIntegral Calculations of TwoDimensional 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. 21292148.
 [Sh04]
WKB Analysis in the Semiclassical Limit of a Discrete NLS System,
S. P. Shipman,
IMA Volumes in Mathematics and its Applications (2000), SpringerVerlag, 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), 243279.
