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Research

Research

Current Research Topics:

Integrability: Connections between Pseudo Potentials, Lax Pairs, and Backlund Transformations

Electromagnetic Theory, especially as it relates to superluminal phenomena made possible by dispersion and dissipation. Also energetics of dispersive media.

Structure of Quantum Field Theories

Grant Applications and Research Stipends:

M. Dorff (PI), S. Glasgow (Co-PI), D. Halverson (Co-PI), G. Lawlor (Co-PI), "REU Site: Brigham Young University Undergraduate Research Experiences in Mathematics," 2004 DMS-Workforce in the mathematical sciences, $160,000.

S. Glasgow (PI), "Origins of Thermodynamics," 2004 Brigham Young University Graduate Mentoring Grant Competition, $4,000.

S. Glasgow (PI), "Macroscopic Energy Allocation, Transport and Thermodynamics of Dispersive/Dissipative Dielectrics, and Dispersive System Identification/Reduction," 2004 Brigham Young University Mentoring Environments Grants Competition, $14,600.

S. Glasgow (PI), "Macroscopic Energy Allocation, Transport and Thermodynamics of Dispersive/Dissipative Dielectrics, and Dispersive System Identification/Reduction," 2003 Brigham Young University Mentoring Environments Grants Competition, $17,000.

S. Glasgow (PI), "Integrability of Inhomogeneously Broadened Optical Bloch Equations," fall 2002 Sabbatical Leave for University of Arizona's Initiative in Nonlinear Optics, STIPEND: UofA--$2000, BYU--$1724+%100 salary.

C.Z. Ning (PI), S. Glasgow (CoPI), Tim Hansen (CoPI), Photonic Crystals, 2001 NASA Ames Education Associates Program, (for graduate student Tim Hansen) STIPEND: $5,000.

C.Z. Ning (PI), S. Glasgow (CoPI), Enhanced Photon Confinement, 2000 NASA Ames Education Associates Program, STIPEND: $10,000.

P. Bates (PI), C. Z. Ning (Co-PI), S. Glasgow (Co-PI), "Nonlinear Science," 1998 IGERT Competition.

P. Bates (PI), S. Glasgow (Co-PI), J. B. Peatross (Co-PI), "Nonlinear Optics: Integrable N-Level Atoms and Fast Simulation of Infinite-Level Atoms," 1997 NSF Applied Math Competition.

Main Collaborators with Common Areas of Research:

 Nicolas Ercolani, University of Arizona Professor of Mathematics, Integrability

Justin Peatross, Brigham Young University Associate Professor, Theoretical Optics

Michael Ware, NIST Postdoctoral Fellow, Theoretical Optics



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