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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 21 — Oct. 13, 2008
  • pp: 16404–16409

Sub-diffraction negative and positive index modes in mid-infrared waveguides

Anthony J. Hoffman, Viktor A. Podolskiy, Deborah L. Sivco, and Claire Gmachl  »View Author Affiliations

Optics Express, Vol. 16, Issue 21, pp. 16404-16409 (2008)

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We characterize a strongly anisotropic waveguide consisting of alternating 80 nm layers of n+-InGaAs and i-AlInAs on InP substrate. A strong increase in the transverse magnetic (TM) reflection at λ=8.4 µm corresponds to a characteristic low-order mode cutoff for the left-handed waveguide. The subsequent decrease of TM reflection at λ=11.5 µm represents the onset of right-handed no-cutoff light guiding. Good qualitative agreement is found when the experimental results are compared to finite element and transfer-matrix frequency domain simulations.

© 2008 Optical Society of America

OCIS Codes
(160.1190) Materials : Anisotropic optical materials
(160.6000) Materials : Semiconductor materials
(230.7370) Optical devices : Waveguides
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: August 29, 2008
Revised Manuscript: September 25, 2008
Manuscript Accepted: September 25, 2008
Published: September 29, 2008

Anthony J. Hoffman, Viktor A. Podolskiy, Deborah L. Sivco, and Claire Gmachl, "Sub-diffraction negative and positive index modes in mid-infrared waveguides," Opt. Express 16, 16404-16409 (2008)

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  1. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental Verification of a Negative Index of Refraction," Science 292, 77 - 79 (2001). [CrossRef] [PubMed]
  2. V. M. Shalaev, "Optical negative-index metamaterials," Nat. Photonics 1, 41 - 48 (2007). [CrossRef]
  3. D. R. Smith and D. Schurig, "Electromagnetic Wave Propagation in Media with Indefinite Permittivity and Permeability Tensors," Phys. Rev. Lett. 90, 077405 (2003). [CrossRef] [PubMed]
  4. D. R. Smith, S. Schurig, J. J. Mock, P. Kolinko, and P. Rye, "Partial focusing of radiation by a slab of indefinite media," Appl. Phys. Lett. 84, 2244 - 2246 (2004). [CrossRef]
  5. A. J. Hoffman, L. Alekseyev, S. S. Howard, D. Wasserman, V. A. Podolskiy, E. E. Narimanov, D. L. Sivco, and C. Gmachl, "Negative refraction in semiconductor metamaterials," Nat. Mater. 6, 946 - 950 (2007). [CrossRef] [PubMed]
  6. J. Yao, Z. Liu, Y. Liu, C. Sun, G. Bartal, A. M. Stacy, and X. Zhang, "Optical Negative Refraction in Bulk Metamaterials of Nanowires," Science 321, 930 (2008). [CrossRef] [PubMed]
  7. J. Elser and V. A. Podolskiy, "Scattering free plasmonic optics with anisotropic metamaterials," Phys. Rev. Lett. 100, 066402 (2008). [CrossRef] [PubMed]
  8. J. Elser, A. A. Govyadinov, I. Avrustky, I. Salakhutdinov, and V. A. Podolskiy, "Plasmonic nanolayer composites: coupled plasmon polaritons, effective-medium response, and subdiffraction light manipulation," J. Nanomaterials,  2007, 79469 (2007). [CrossRef]
  9. A. A. Govyadinov and V. A. Podolskiy, "Subdiffraction light propagation in fibers with anisotropic dielectric cores," Phys. Rev. B. 75, 155108 (2006).
  10. Z. Jacob, L. V. Alekseyev, and E. E. Narimanov, "Optical Hyperlens: Far-field imaging beyond the diffraction limit," Opt. Express 14, 8247 - 8256 (2006). [CrossRef] [PubMed]
  11. V. A. Podolskiy and E. E. Narimanov, "Strongly anisotropic waveguide as a nonmagnetic left-handed system," Phys. Rev. B 71, 201101 (2005). [CrossRef]
  12. V. G. Veselago, "Electrodynamics of substances with simultaneously negative values of sigma and mu," Sov. Phys. Usp. 10, 509 (1968). [CrossRef]
  13. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966 - 3969 (2000). [CrossRef] [PubMed]
  14. D. R. Smith and J. B. Pendry, "Homogenization of metamaterials by field averaging," J. Opt. Soc. Am. B 23, 391 (2006). [CrossRef]
  15. J. Elser, V. A. Podolskiy, I. Salakhutdinov, and I. Avrutsky, "Nonlocal effects in effective-medium response of nanolayered metamaterials," Appl. Phys. Lett 90, 191109 (2007). [CrossRef]
  16. www.comsol.com
  17. V. V. Shevchenko, Continuous transitions in open waveguides (Golem Press, Boulder, 1971).
  18. J. Elser, R. Wangber, V. A. Podolskiy, and E. E. Narimanov, "Nanowire metamaterials with extreme optical anisotropy," Appl. Phys. Lett. 89, 261102 (2006). [CrossRef]

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