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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 2 — Feb. 1, 2013
  • pp: 370–376

Negative refraction in causal media by evaluating polar paths for rational functions

Christopher A. Dirdal and Johannes Skaar  »View Author Affiliations

JOSA B, Vol. 30, Issue 2, pp. 370-376 (2013)

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The class of causal negative index media is identified and analyzed through the development of a conceptual framework relying on polar paths and zero-pole placements of rational functions. In particular, necessary conditions on the refractive index function n(ω) toward the achievement of Ren<0 with Imn=0 are found. The requirement of causality necessitates either significant loss/gain in some frequency bands or steep variation in n immediately below or above the observation frequency. A particular system demonstrating negative refraction with arbitrarily small loss/gain for all frequencies through steep variation in n is analyzed.

© 2013 Optical Society of America

OCIS Codes
(000.2690) General : General physics
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation
(160.3918) Materials : Metamaterials

ToC Category:
Physical Optics

Original Manuscript: October 31, 2012
Revised Manuscript: December 18, 2012
Manuscript Accepted: December 18, 2012
Published: January 18, 2013

Christopher A. Dirdal and Johannes Skaar, "Negative refraction in causal media by evaluating polar paths for rational functions," J. Opt. Soc. Am. B 30, 370-376 (2013)

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