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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2377–2382

Backward wave propagation in left-handed media with isotropic and anisotropic permittivity tensors

Jonathan Woodley and Mohammad Mojahedi  »View Author Affiliations


JOSA B, Vol. 23, Issue 11, pp. 2377-2382 (2006)
http://dx.doi.org/10.1364/JOSAB.23.002377


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Abstract

The backward-wave phenomenon in an isotropic medium is investigated from a purely wave propagation point of view. The functional form for the index of refraction necessary to produce such behavior is derived using the condition that the phase and group-velocity vectors are antiparallel. It is shown that, in the case considered, the backward-wave propagation can be attained only in a medium where the index is negative. A more general case is then considered where the angle between the phase velocity and group velocity is allowed to vary between 90° and 270°. It is shown that such behavior requires propagation through an anisotropic medium where at least one of the axes has a negative index and the general form of the index along each of the three principal axes is derived. The condition that the group velocity must be positive in the transmission passband is then used to obtain the required minimum dispersion for a medium with negative index for both the isotropic and the anisotropic cases.

© 2006 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(260.1180) Physical optics : Crystal optics
(260.2110) Physical optics : Electromagnetic optics
(350.5500) Other areas of optics : Propagation

ToC Category:
Physical Optics

History
Original Manuscript: August 19, 2006
Revised Manuscript: March 10, 2006
Manuscript Accepted: June 29, 2006

Citation
Jonathan Woodley and Mohammad Mojahedi, "Backward wave propagation in left-handed media with isotropic and anisotropic permittivity tensors," J. Opt. Soc. Am. B 23, 2377-2382 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-11-2377


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References

  1. T. Grbic and G. V. Eleftheriades, "Experimental verification of backward-wave radiation from a negative refractive index metamaterial," J. Appl. Phys. 92, 5930-5935 (2002). [CrossRef]
  2. J. Woodley and M. Mojahedi, "Negative group velocity and group delay in left-handed media," Phys. Rev. E 70, 046603 (2004). [CrossRef]
  3. D. R. Smith, D. Schuring, and J. B. Pendry, "Negative refraction of modulated electromagnetic waves," Appl. Phys. Lett. 81, 2713-2715 (2002). [CrossRef]
  4. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, "BW media with negative parameters, capable of supporting backward waves," Microwave Opt. Technol. Lett. 31, 129-133 (2001). [CrossRef]
  5. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneous negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000). [CrossRef]
  6. M. Mojahedi, E. Schamiloglu, K. Agi, and K. J. Malloy, "Frequency-domain detection of superluminal group velocity in a distributed Bragg reflector," IEEE J. Quantum Electron. 36, 418-424 (2000). [CrossRef]
  7. E. L. Bolda and R. Y. Chiao, "Two theorems for the group velocity in dispersive media," Phys. Rev. A 48, 3890-3894 (1993). [CrossRef]
  8. S. Ramo, Fields and Waves in Communication Electronics (Wiley, 1994).
  9. A. K. Iyer and G. V. Eleftheriades, "Negative refractive index metamaterials supporting 2-D waves," IEEE MTT-S Int. Microwave Symp. Dig. 2, 1067-1070 (2002).
  10. C. Caloz, H. Okabe, H. Iwai, and T. Itoh, "Application of the transmission line theory of left-handed (LH) metamaterials to the realization of a microstrip 'LH line'," in 2002 IEEE Antennas and Propagation Symposium (IEEE Press, 2002), pp. 412-415.

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