Abstract
In this paper, we analyze the theoretical limits of a metamaterial-based converter with orthogonal linear eigenpolarizations that allow linear-to-elliptical polarization transformation with any desired ellipticity and ellipse orientation. We employ the transmission line approach providing a needed level of the design generalization. Our analysis reveals that the maximal conversion efficiency for transmission through a single metamaterial layer is 50 %, while the realistic reflection configuration can give the conversion efficiency up to 90 %. We show that a double layer transmission converter and a single layer with a ground plane can have 100 % polarization conversion efficiency. We tested our conclusions numerically reaching the designated limits of efficiency using a simple metamaterial design. Our general analysis provides useful guidelines for the metamaterial polarization converter design for virtually any frequency range of the electromagnetic waves.
Similar content being viewed by others
References
P.U. Jepsen, D.G. Cooke, M. Koch, Terahertz spectroscopy and imaging - modern techniques and applications. Laser Photonics Rev. 5(1), 124–166 (2011)
T. Kleine-Ostmann, T. Nagatsuma, A review on terahertz communications research. J. Infrared Millim. Terahertz Waves 32(2), 143–171 (2011)
M. Tonouchi, Cutting-edge terahertz technology. Nat. Photonics 1(2), 97–105 (2007)
D. Molter, G. Torosyan, G. Ballon, L. Drigo, R. Beigang, Step-scan time-domain terahertz magneto-spectroscopy. Opt. Express 20(6), 26163–26168 (2012)
J.B. Masson, G. Gallot, Terahertz achromatic quarter-wave plate. Opt. Lett. 31(2), 265–267 (2006)
T. Arikawa, X. Wang, A.A. Belyanin, J. Kono, Giant tunable faraday effect in a semiconductor magneto-plasma for broadband terahertz polarization optics. Opt. Express 20(17), 19484 (2012)
A.C. Strikwerda, K. Fan, H. Tao, D.V. Pilon, X. Zhang, R.D. Averitt, Comparison of birefringent electric split-ring resonator and meanderline structures as quarter-wave plates at terahertz frequencies. Opt. Express 17(1), 136–149 (2009)
S.C. Saha, Y. Ma, J.P. Grant, A. Khalid, D.R.S. Cumming. Imprinted terahertz artificial dielectric quarter wave plates. Opt. Express 18(12), 12168–12175 (2010)
A. Drezet, C. Genet, T. Ebbesen, Miniature plasmonic wave plates. Phys. Rev. Lett. 101(4), 1–4 (2008)
J.Y. Chin, M. Lu, T.J. Cui, Metamaterial polarizers by electric-field-coupled resonators. Appl. Phys. Lett. 93(25), 251903 (2008)
J.Y. Chin, J.N. Gollub, J.J. Mock, R. Liu, C. Harrison, D.R. Smith, T.J. Cui, An efficient broadband metamaterial wave retarder. Opt. Express 17(9), 7640–7647 (2009)
X.G. Peralta, E.I. Smirnova, A.K. Azad, H.-T. Chen, A.J. Taylor, I. Brener, J.F. O’Hara, Metamaterials for thz polarimetric devices. Opt. Express 17(2), 773–783 (2009)
P. Weis, O. Paul, C. Imhof, R. Beigang, M. Rahm, Strongly birefringent metamaterials as negative index terahertz wave plates. Appl. Phys. Lett. 95(17), 171104 (2009)
T. Li, S.M. Wang, J.X. Cao, H. Liu, S.N. Zhu, Cavity-involved plasmonic metamaterial for optical polarization conversion. Appl. Phys. Lett. 97(26), 261113 (2010)
A. Roberts, L. Lin, Plasmonic quarter-wave plate. Opt. Lett. 37(11), 1820–1822 (2012)
W. Sun, Q. He, J. Hao, L. Zhou, A transparent metamaterial to manipulate electromagnetic wave polarizations. Opt. Lett. 36(6), 927–929 (2011)
J. Hao, Y. Yuan, L. Ran, T. Jiang, J. Kong, C. Chan, L. Zhou, Manipulating electromagnetic wave polarizations by anisotropic metamaterials. Phys. Rev. Lett. 99(6), 1–4 (2007)
J. Hao, Q. Ren, Z. An, X. Huang, Z. Chen, M. Qiu, L. Zhou, Optical metamaterial for polarization control. Phys. Rev. A 80(2), 1–5 (2009)
A. Pors, M.G. Nielsen, G.D. Valle, M. Willatzen, O. Albrektsen, S.I. Bozhevolnyi, Plasmonic metamaterial wave retarders in reflection by orthogonally oriented detuned electrical dipoles. Opt. Lett. 36(9), 1626–1628 (2011)
A.C. Strikwerda, R.D. Averitt, K. Fan, X. Zhang, G.D. Metcalfe, M. Wraback, Electromagnetic composite-based reflecting terahertz waveplates. Int. J. High Speed Electr. Syst. (IJHSES) 20(3), 583–588 (2011)
F. Wang, A. Chakrabarty, F. Minkowski, K. Sun, Q.-H. Wei, Polarization conversion with elliptical patch nanoantennas. Appl. Phys. Lett. 101(2), 023101 (2012)
R. Singh, E. Plum, W. Zhang, N.I. Zheludev, Highly tunable optical activity in planar achiral terahertz metamaterials. Opt. Express 18(13), 13425–13430 (2010)
S.X. Li, Z.Y. Yang, J. Wang, M. Zhao, Broadband terahertz circular polarizers with single-and double-helical array metamaterials. J. Opt. Soc. Am. A 28(1), 19–23 (2011)
M. Mutlu, A.E. Akosman, A.E. Serebryannikov, E. Ozbay, Asymmetric chiral metamaterial circular polarizer based on four u-shaped split ring resonators. Opt. Lett. 36(9), 1653–1655 (2011)
Y. Zhao, M.A. Belkin, A. Alù, Twisted optical metamaterials for planarized ultrathin broadband circular polarizers. Nat. Commun. 3, 870 (2012)
C. Sabah, H.G. Roskos, Design of a terahertz polarization rotator based on a periodic sequence of chiral-metamaterial and dielectric slabs. Prog. Electromagn. Res. 124, 301–314 (2012)
J.K. Gansel, M. Latzel, A. Frolich, J. Kaschke, M. Thiel, M. Wegener, Tapered gold-helix metamaterials as improved circular polarizers. Appl. Phys. Lett. 100(10), 101109 (2012)
C. Caloz, T. Itoh, Electromagnetic metamaterials: transmission line theory and microwave applications: the engineering approach. (Wiley-IEEE Press, New York, 2006)
J.D. Jackson, Classical electrodynamics, vol. 67, (Wiley, New York, 1999)
N.J. Cronin, Microwave and optical waveguides. (Taylor & Francis, 1995)
S. Tretyakov, Analytical modeling in applied electromagnetics. (Artech House Publishers, Boston, 2003)
CST. Computer simulation technology. http://www.cst.com/
R. Malureanu, P.U. Jepsen, S. Xiao, L. Zhou, D.G. Cooke, A. Andryieuski, A.V. Lavrinenko, Fractal Thz metamaterials: design, fabrication and characterisation. Proc. SPIE 7711, 77110M (2010)
D.-H. Kwon, P.L. Werner, D.H. Werner, Optical planar chiral metamaterial designs for strong circular dichroism and polarization rotation. Opt. Express 16(16), 11802–11807 (2008)
P. Yeh, Optical waves in layered media, vol 95. (Wiley, New York, 1988)
Acknowledgments
The authors acknowledge P. U. Jepsen and A. Strikwerda for useful discussions. A. A. acknowledges financial support from the Danish Council for Technical and Production Sciences through the GraTer (11-116991) Project.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Markovich, D.L., Andryieuski, A., Zalkovskij, M. et al. Metamaterial polarization converter analysis: limits of performance. Appl. Phys. B 112, 143–152 (2013). https://doi.org/10.1007/s00340-013-5383-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00340-013-5383-8