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Spatial dispersion in three-dimensional drawn magnetic metamaterialsAlessandro Tuniz, Benjamin Pope, Anna Wang, Maryanne C. J. Large, Shaghik Atakaramians, Seong-Sik Min, Elise M. Pogson, Roger A. Lewis, Avi Bendavid, Alexander Argyros, Simon C. Fleming, and Boris T. Kuhlmey »View Author Affiliations
Alessandro Tuniz,1,*
Benjamin Pope,1
Anna Wang,1
Maryanne C. J. Large,1
Shaghik Atakaramians,1
Seong-Sik Min,1
Elise M. Pogson,2
Roger A. Lewis,2
Avi Bendavid,3
Alexander Argyros,1
Simon C. Fleming,1
and Boris T. Kuhlmey1
1Institute of Photonics and Optical Science (IPOS), School of Physics, University of Sydney, NSW, 2006, Australia 2School of Engineering Physics, University of Wollongong, NSW, Australia 3Materials Science and Engineering, Commonwealth Scientific and Industrial Research Organization, PO Box 218 Lindfield, Sydney, NSW, 2070 Australia *Corresponding author: alessandro.tuniz@sydney.edu.au |
Optics Express, Vol. 20, Issue 11, pp. 11924-11935 (2012)
http://dx.doi.org/10.1364/OE.20.011924
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Abstract
We characterize spatial dispersion in longitudinally invariant drawn metamaterials with a magnetic response at terahertz frequencies, whereby a change in the angle of the incident field produces a shift in the resonant frequency. We present a simple analytical model to predict this shift. We also demonstrate that the spatial dispersion is eliminated by breaking the longitudinal invariance using laser ablation. The experimental results are in agreement with numerical simulations.
© 2012 OSA
OCIS Codes
(160.2290) Materials : Fiber materials
(160.3918) Materials : Metamaterials
ToC Category:
Metamaterials
History
Original Manuscript: March 27, 2012
Revised Manuscript: May 3, 2012
Manuscript Accepted: May 5, 2012
Published: May 10, 2012
Citation
Alessandro Tuniz, Benjamin Pope, Anna Wang, Maryanne C. J. Large, Shaghik Atakaramians, Seong-Sik Min, Elise M. Pogson, Roger A. Lewis, Avi Bendavid, Alexander Argyros, Simon C. Fleming, and Boris T. Kuhlmey, "Spatial dispersion in three-dimensional drawn magnetic metamaterials," Opt. Express 20, 11924-11935 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-11-11924
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References
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- A. Tuniz, R. Lwin, A. Argyros, S. C. Fleming, E. M. Pogson, E. Constable, R. A. Lewis, and B. T. Kuhlmey, “Stacked-and-drawn metamaterials with magnetic resonances in the terahertz range,” Opt. Express19, 16480–16490 (2011). [CrossRef] [PubMed]
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- J. K. Gansel, M. Thiel, S. M. Rill, M. Decker, K. Bade, S. Volker, G. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science325, 1513–1515 (2009). [CrossRef] [PubMed]
- C. E. Kriegler, M. S. Rill, M. Thiel, E. Müller, S. Essig, A. Frölich, G. von Freymann, S. Linden, D. Gerthsen, H. Hahn, K. Busch, and M. Wegener, “Transition between corrugated metal films and split-ring-resonator arrays,” Appl. Phys. B96, 749–755 (2009). [CrossRef]
- J. K. Gansel, M. Thiel, S. M. Rill, M. Decker, K. Bade, S. Volker, G. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science325, 1513–1515 (2009). [CrossRef] [PubMed]
- C. E. Kriegler, M. S. Rill, M. Thiel, E. Müller, S. Essig, A. Frölich, G. von Freymann, S. Linden, D. Gerthsen, H. Hahn, K. Busch, and M. Wegener, “Transition between corrugated metal films and split-ring-resonator arrays,” Appl. Phys. B96, 749–755 (2009). [CrossRef]
- C. E. Kriegler, M. S. Rill, M. Thiel, E. Müller, S. Essig, A. Frölich, G. von Freymann, S. Linden, D. Gerthsen, H. Hahn, K. Busch, and M. Wegener, “Transition between corrugated metal films and split-ring-resonator arrays,” Appl. Phys. B96, 749–755 (2009). [CrossRef]
- M. C. K. Wiltshire, J. B. Pendry, W. Williams, and J. V. Hajnal, “An effective medium description of ’swiss rolls’, a magnetic metamaterial,” J. Phys-Condens. Mat.19, 456216 (2007). [CrossRef]
- P. Halevi, Spatial Dispersion in Solids and Plasmas (North-Holland, 1992).
- P. Belov, Y. Hao, and S. Sudhakaran, “Subwavelength microwave imaging using an array of parallel conducting wires as a lens,” Phys. Rev. B73, 033108 (2006). [CrossRef]
- J. Pendry, A. Holden, D. Robbins, and W. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microw. Theory Tech.47, 2075–2084 (1999). [CrossRef]
- E. Badinter, A. Ioisher, E. Monaico, V. Postolache, and I. M. Tiginyanu, “Exceptional integration of metal or semimetal nanowires in human-hair-like glass fiber,” Materials Lett.64, 1902–1904 (2010). [CrossRef]
- D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science314, 977–980 (2006). [CrossRef] [PubMed]
- M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K. Y. Kang, Y. H. Lee, N. Park, and B. Min, “A terahertz metamaterial with unnaturally high refractive index,” Nature470, 369–373 (2011). [CrossRef] [PubMed]
- M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K. Y. Kang, Y. H. Lee, N. Park, and B. Min, “A terahertz metamaterial with unnaturally high refractive index,” Nature470, 369–373 (2011). [CrossRef] [PubMed]
- M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K. Y. Kang, Y. H. Lee, N. Park, and B. Min, “A terahertz metamaterial with unnaturally high refractive index,” Nature470, 369–373 (2011). [CrossRef] [PubMed]
- I. V. Shadrivov, A. B. Kozyrev, D. W. van der Weide, and Y. S. Kivshar, “Nonlinear magnetic metamaterials,” Opt. Express16, 20266–20271 (2008). [CrossRef] [PubMed]
- I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, “Second-harmonic generation in nonlinear left-handed metamaterials,” J. Opt. Soc. Am. B23, 529–534 (2006). [CrossRef]
- J. C. Knight, “Photonic crystal fibres,” Nature424, 847–851 (2003). [CrossRef] [PubMed]
- M. Walther, A. Ortner, H. Meier, U. Loffelmann, P. J. Smith, and J. G. Korvink, “Terahertz metamaterials fabricated by inkjet printing,” Appl. Phys. Lett.95, 251107–251107 (2009). [CrossRef]
- C. E. Kriegler, M. S. Rill, M. Thiel, E. Müller, S. Essig, A. Frölich, G. von Freymann, S. Linden, D. Gerthsen, H. Hahn, K. Busch, and M. Wegener, “Transition between corrugated metal films and split-ring-resonator arrays,” Appl. Phys. B96, 749–755 (2009). [CrossRef]
- A. Tuniz, R. Lwin, A. Argyros, S. C. Fleming, E. M. Pogson, E. Constable, R. A. Lewis, and B. T. Kuhlmey, “Stacked-and-drawn metamaterials with magnetic resonances in the terahertz range,” Opt. Express19, 16480–16490 (2011). [CrossRef] [PubMed]
- A. Wang, A. Tuniz, P. G. Hunt, E. M. Pogson, R. A. Lewis, A. Bendavid, S. C. Fleming, B. T. Kuhlmey, and M. C. J. Large, “Fiber metamaterials with negative magnetic permeability in the terahertz,” Opt. Mater. Express1, 115–120 (2011). [CrossRef]
- R. C. McPhedran, I. V. Shadrivov, B. T. Kuhlmey, and K. Y. S, “Metamaterials and metaoptics,” NPG Asia Mater.3, 100–108 (2011). [CrossRef]
- A. Tuniz, B. T. Kuhlmey, R. Lwin, A. Wang, J. Anthony, R. Leonhardt, and S. C. Fleming, “Drawn metamaterials with plasmonic response at terahertz frequencies,” Appl. Phys. Lett.96, 191101 (2010). [CrossRef]
- M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K. Y. Kang, Y. H. Lee, N. Park, and B. Min, “A terahertz metamaterial with unnaturally high refractive index,” Nature470, 369–373 (2011). [CrossRef] [PubMed]
- N. I. Landy, S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, “Perfect metamaterial absorber,” Phys. Rev. Lett.100, 207402 (2008). [CrossRef] [PubMed]
- A. Wang, A. Tuniz, P. G. Hunt, E. M. Pogson, R. A. Lewis, A. Bendavid, S. C. Fleming, B. T. Kuhlmey, and M. C. J. Large, “Fiber metamaterials with negative magnetic permeability in the terahertz,” Opt. Mater. Express1, 115–120 (2011). [CrossRef]
- J. Anthony, R. Leonhardt, A. Argyros, and M. C. J. Large, “Characterization of a microstructured zeonex terahertz fiber,” J. Opt. Soc. Am. B28, 1013–1018 (2011). [CrossRef]
- C. Menzel, T. Paul, C. Rockstuhl, T. Pertsch, S. Tretyakov, and F. Lederer, “Validity of effective material parameters for optical fishnet metamaterials,” Phys. Rev. B81, 035320 (2010). [CrossRef]
- C. Menzel, R. Singh, C. Rockstuhl, W. Zhang, and F. Lederer, “Effective properties of terahertz double split-ring resonators at oblique incidence,” J. Opt. Soc. Am. B26, B143–B147 (2009). [CrossRef]
- Z. Liu, H. Lee, Y. Xiong, C. Sun, and X. Zhang, “Far-field optical hyperlens magnifying sub-diffraction-limited objects,” Science315, 1686 (2007). [CrossRef] [PubMed]
- M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K. Y. Kang, Y. H. Lee, N. Park, and B. Min, “A terahertz metamaterial with unnaturally high refractive index,” Nature470, 369–373 (2011). [CrossRef] [PubMed]
- M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K. Y. Kang, Y. H. Lee, N. Park, and B. Min, “A terahertz metamaterial with unnaturally high refractive index,” Nature470, 369–373 (2011). [CrossRef] [PubMed]
- J. Anthony, R. Leonhardt, A. Argyros, and M. C. J. Large, “Characterization of a microstructured zeonex terahertz fiber,” J. Opt. Soc. Am. B28, 1013–1018 (2011). [CrossRef]
- A. Tuniz, B. T. Kuhlmey, R. Lwin, A. Wang, J. Anthony, R. Leonhardt, and S. C. Fleming, “Drawn metamaterials with plasmonic response at terahertz frequencies,” Appl. Phys. Lett.96, 191101 (2010). [CrossRef]
- A. Wang, A. Tuniz, P. G. Hunt, E. M. Pogson, R. A. Lewis, A. Bendavid, S. C. Fleming, B. T. Kuhlmey, and M. C. J. Large, “Fiber metamaterials with negative magnetic permeability in the terahertz,” Opt. Mater. Express1, 115–120 (2011). [CrossRef]
- A. Tuniz, R. Lwin, A. Argyros, S. C. Fleming, E. M. Pogson, E. Constable, R. A. Lewis, and B. T. Kuhlmey, “Stacked-and-drawn metamaterials with magnetic resonances in the terahertz range,” Opt. Express19, 16480–16490 (2011). [CrossRef] [PubMed]
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- J. K. Gansel, M. Thiel, S. M. Rill, M. Decker, K. Bade, S. Volker, G. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science325, 1513–1515 (2009). [CrossRef] [PubMed]
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Appl. Phys. B
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