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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 8 — Aug. 1, 2008
  • pp: 1937–1943

Why a harmonic solution for lossless, perfectly homogeneous, left-handed material cannot exist

Daniel Maystre, Stefan Enoch, and Ross McPhedran  »View Author Affiliations

JOSA A, Vol. 25, Issue 8, pp. 1937-1943 (2008)

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In a preceding paper [ J. Opt. Soc. Am. A 21, 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. E 73, 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.

© 2008 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(160.4670) Materials : Optical materials
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

Original Manuscript: April 8, 2008
Revised Manuscript: June 11, 2008
Manuscript Accepted: June 11, 2008
Published: July 9, 2008

Daniel Maystre, Stefan Enoch, and Ross McPhedran, "Why a harmonic solution for lossless, perfectly homogeneous, left-handed material cannot exist," J. Opt. Soc. Am. A 25, 1937-1943 (2008)

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