Publications

A list of my publications and works in progress.

1) S. P. Shipman and A. Welters, Resonant electromagnetic scattering in anisotropic layered media, II: frozen-mode resonance. In progress.
2) A. Figotin and A. Welters, Lagrangian framework for systems composed of high-loss and lossless components, J. Math. Phys., vol. 55, no. 6, eid: 062902, pp. 1-39, 2014.
3) A. Welters, Y. Avniel, and S. G. Johnson, Speed-of-light limitations in passive linear media. Submitted. (Preprint; Slides & abstract from a recent talk.)
4) S. P. Shipman and A. Welters, Resonant electromagnetic scattering in anisotropic layered media, J. Math. Phys., vol. 54, no. 10, eid: 103511, pp. 1-40, 2013.
5) S. P. Shipman and A. Welters, Resonance in anisotropic layered media, Proceedings of the 14th International Conference on Mathematical Methods in Electrodynamic Theory (MMET12 Kharkov), pp. 227-232, 2012.
6) A. Figotin and A. Welters, Dissipative properties of systems composed of high-loss and lossless components, J. Math. Phys., vol. 53, no. 12, eid: 123508, pp. 1-40, 2012.
7) A. Welters, On Explicit Recursive Formulas in the Spectral Perturbation Analysis of a Jordan Block, SIAM J. Matrix Anal. Appl., vol. 32, no. 1, pp. 1-22, 2011.
8) A. Welters, On the Mathematics of Slow Light. Thesis (Ph.D.)-Univ. of Calif., Irvine. ProQuest LLC, Ann Arbor, MI, 2011.