Why a harmonic solution for lossless, perfectly homogeneous, left-handed material cannot exist.
In a preceding paper [J. Opt. Soc. Am. A21, 122 (2004)], we proposed proof of the nonexistence of harmonic solutions for a perfectly homogeneous left-handed material with both relative permittivity and relative permeability equal to -1 using the theorem of analytic continuation of an analytic function. The use of this theorem of analyticity has been questioned in a recent paper [Phys. Rev. E73, 046608 (2006)], arguing the possible inadequacy of the conditions of application of the theorem. We avoid the use of the analyticity theorem and propose a direct and simple proof of the nonexistence of such solutions. Furthermore, this proof is extended to any left-handed material with negative permeability and permittivity.
Maystre
Daniel
D
Institut Fresnel, CNRS, Aix-Marseille Universite, CNRS, Domaine universitaire de St Jerome, Marseille, Cedex, France. daniel.maystre@fresnel.fr
Enoch
Stefan
S
McPhedran
Ross
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