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References
Veselago, V.G.: The electrodynamics of substances with simultaneously negative values of eps and mu. Soviet Phys. Usp. 10, 509 (1968), Usp. Fiz. Nauk 92, 517–526 (1967)
Lamb, H.: On group velocity. Proc. London Math. Soc. 1, 473–479 (1904)
Mandelstam, L.I.: Group velocity in crystalline arrays. Zh. Eksp. Teor. Fiz. 15, 475–478 (1945)
—: Complete Collected Works. Akad. Nauk SSSR, Moscow, 2 334 (1947)
—: Complete Collected Works. Akad. Nauk SSSR, Moscow, 5 419 (1950) \bibitem http://www.wave-scattering.com/negative.html
http://www.wave-scattering.com/negative.html
Sommerfeld, A.: Elektrodynamik. Geest & Portig, Leipzig (1964)
Lurie, K.A.: The problem of effective parameters of a mixture of two isotropic dielectrics distributed in space-time and the conservation law for wave impedance in one-dimensional wave propagation. Proc. R. Soc. Lond. A 454, 1767–1779 (1998)
Minkowski, H.: Nachr. Ges. Wiss. Göttingen, S. 53 (1908);also: Raum und Zeit, Phys. Z., Bd. 10, S. 104 (1909).
Einstein, A.: Zur Elektrodynamik bewegter Körper. Ann d. Physik, 17, 891 (1905)
Lurie, K.A.: Bounds for the electromagnetic material properties of a spatio-temporal dielectric polycrystal with respect to one-dimensional wave propagation. Proc. R. Soc. Lond. A 456, 1547–1557 (2000)
Lurie, K.A., and Weekes, S.L.: Effective and averaged energy densities in one-dimensional wave propagation through spatio-temporal dielectric laminates with negative effective values of ε and μ. In ‘‘Nonlinear Analysis and Applications: to V. Lakshmikantham on his 80th Birthday’’, R. Agarwal and D. O’Regan, eds., Kluwer, 767–789 (2004)
Sturrock, P.A.: In what sense do slow wave carry negative energy? J. Appl. Phys., 31, 2052–2056 (1960)
Nezlin, M.V.: Negative-energy waves and the anomalous Doppler effect. Sov. Phys. Usp., 19, no. 11, 946–954 (1976)
Weekes, S.L.: A stable scheme for the numerical computation of long wave propagation in temporal laminates. J. Comput. Phys., 176, 345–362 (2002)
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Lurie, K.A. (2007). Dynamic Materials in Electrodynamics of Moving Dielectrics. In: An Introduction to the Mathematical Theory of Dynamic Materials. Advances in Mechanics and Mathematics, vol 15. Springer, Boston, MA. https://doi.org/10.1007/0-387-38280-1_3
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DOI: https://doi.org/10.1007/0-387-38280-1_3
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