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Wave packet propagation into a negative index medium
1.A referee pointed out that the correct (but not common) spelling is Snel. See Dictionary of Scientific Biography, edited by Charles Coulston Gillispie (Scribner, New York, 1975), Vol. 12.
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13.R. W. Ziolkowski, “Pulsed and cw Gaussian beam interactions with double negative metamaterial slabs,” Opt. Express 11 (7), 662–681 (2003). This paper has movies similar to what we present.
14.See EPAPS Document No. for additional citations and several movie sequences. A direct link to this document may be found in the online article’s HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html) or from ftp.aip.org in the directory /epaps. See the EPAPS homepage for more information. The movies also are posted at 〈http://www.physics.indiana.edu/∼schaich/ajp/ajp.html〉. A Shockwave player is needed to view the videos.[Supplementary Material]
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18.We suppress the taking of only the real part of the expressions in Eqs. (11) and (12).
19.We often suppress the subscript on in this paragraph.
20.For frequencies within the gap, the magnitude of is too small for to be a real number. If one wants to determine the sign of then lower (thereby decreasing and the gap size) until the frequency of interest is no longer in the gap.
21.A metamaterial is an artificial (man-made) composite which on a fine length scale is made of distinct mesoscopic (larger than microscopic) entities. However when probed on a longer length scale, the metamaterial responds as a homogeneous medium. See Refs. 3456 for how the media are constructed, for example, by stacking an array of circuit boards.
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