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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 11 — May. 21, 2012
  • pp: 12303–12317

Polarization modulation time-domain terahertz polarimetry

C. M. Morris, R. Valdés Aguilar, A. V. Stier, and N. P. Armitage  »View Author Affiliations

Optics Express, Vol. 20, Issue 11, pp. 12303-12317 (2012)

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We present high precision measurements of polarization rotations in the frequency range from 0.1 to 2.5 THz using a polarization modulation technique. A motorized stage rotates a polarizer at ∼ 80 Hz, and the resulting modulation of the polarization is measured by a lock-in technique. We achieve an accuracy of 0.050° (900 μrad) and a precision of 0.02° (350 μrad) for small rotation angles. A detailed mathematical description of the technique is presented, showing its ability to fully characterize elliptical polarizations from 0.1 to 2.5 THz.

© 2012 OSA

OCIS Codes
(120.2130) Instrumentation, measurement, and metrology : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization
(300.6495) Spectroscopy : Spectroscopy, teraherz

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: March 23, 2012
Revised Manuscript: April 30, 2012
Manuscript Accepted: May 2, 2012
Published: May 16, 2012

C. M. Morris, R. Valdés Aguilar, A. V. Stier, and N. P. Armitage, "Polarization modulation time-domain terahertz polarimetry," Opt. Express 20, 12303-12317 (2012)

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  1. M. Tonouchi, “Cutting-edge terahertz technology,” Nat. Photonics1, 97–105 (2007). [CrossRef]
  2. M. Nuss and J. Orenstein, “Terahertz time-domain spectroscopy” in Millimeter and Submillimeter Wave Spectroscopy of Solids, George Grüner, ed. (Springer, 1998), Topics in Applied Physics 74, pp. 7–50. [CrossRef]
  3. M. S. Sherwin, C. A. Schmuttenmaer, and P. H. Bucksbaumeds., “Opportunities in THz science,” DOE-NSF-NIH Workshop, Feb. 12–14, 2004, http://science.energy.gov/~/media/bes/pdf/reports/files/thz_rpt.pdf .
  4. R. A. Kaindl, M. A. Carnahan, D. Hägele, R. Lövenich, and D. S. Chemla, “Ultrafast terahertz probes of transient conducting and insulating phases in an electron-hole gas,” Nature423, 734–738 (2003). [CrossRef] [PubMed]
  5. J. N. Heyman, R. Kersting, and K. Unterrainer, “Time-domain measurement of intersubband oscillations in a quantum well,” Appl. Phys. Lett.72, 644–646 (1998). [CrossRef]
  6. A.J. Gatesman, J. Waldman, M. Ji, C. Musante, and S. Yagvesson, “An anti-reflection coating for silicon optics at terahertz frequencies,” IEEE Microw. Guid. Wave Lett.10, 264–266 (2000). [CrossRef]
  7. L. S. Bilbro, R. Valdés Aguilar, G. Logvenov, O. Pelleg, I. Bozovic, and N. P. Armitage, “Temporal correlations of superconductivity above the transition temperature in La2–xSrxCuO4 probed by terahertz spectroscopy,” Nat. Phys.7, 298–302 (2011). [CrossRef]
  8. J. Corson, R. Mallozzi, J. Orenstein, J. N. Eckstein, and I. Bozovic, “Vanishing of phase coherence in underdoped Bi2Sr2CaCu2O8+δ,” Nature398, 221–223 (1999). [CrossRef]
  9. S. Wang, B. Ferguson, D. Abbott, and X.-C. Zhang, “T-ray imaging and tomography,” J. Biol. Phys. Chem.29, 247–256 (2003).
  10. M. Nagel, P. H. Bolivar, M. Brucherseifer, H. Kurz, A. Bosserhoff, and R. Büttner, “Integrated planar terahertz resonators for femtomolar sensitivity label-free detection of DNA hybridization,” Appl. Opt.41, 2074–2078 (2002). [CrossRef] [PubMed]
  11. E. Castro-Camus and M. B. Johnson, “Conformational changes of photoactive yellow protein monitored by terahertz spectroscopy,” Chem. Phys. Lett.455, 289–292 (2008). [CrossRef]
  12. B. B. Hu and M. C. Nuss, “Imaging with terahertz waves,” Opt. Lett.20, 1716–1718 (1995). [CrossRef] [PubMed]
  13. X-C Zhang, “Terahertz wave imaging: horizons and hurdles,” Phys. Med. Biol.47, 3667 (2002). [CrossRef] [PubMed]
  14. J. L. Johnson, T. D. Dorney, and D. M. Mittleman, “Enhanced depth resolution in terahertz imaging using phase-shift interferometry,” Appl. Phys. Lett.78, 835–837 (2001). [CrossRef]
  15. E. Castro-Camus, “Polarization-resolved terahertz time-domain spectroscopy,” Int. J. Infrared Millim. Waves33, 418–430 (2012).
  16. R. Shimano, Y. Ikebe, K. S. Takahashi, M. Kawasaki, N. Nagaosa, and Y. Tokura, “Terahertz Faraday rotation induced by an anomalous Hall effect in the itinerant ferromagnet SrRuO3,” Europhys. Lett.95, 17002 (2011). [CrossRef]
  17. A. Kapitulnik, J. S. Dodge, and M. M. Fejer, “High-resolution magneto-optic measurements with a Sagnac interferometer,” J. Appl. Phys.75, 6872–6877 (1994). [CrossRef]
  18. J. Xia, Y. Maeno, P. T. Beyersdorf, M. M. Fejer, and A. Kapitulnik, “High resolution polar Kerr effect measurements of Sr2RuO4: evidence for broken time-reversal symmetry in the superconducting state,” Phys. Rev. Lett.97, 167002 (2006). [CrossRef] [PubMed]
  19. E. Castro-Camus, J. Lloyd-Hughes, M. B. Johnston, M. D. Fraser, H. H. Tan, and C. Jagadish, “Polarization-sensitive terahertz detection by multicontact photoconductive receivers,” Appl. Phys. Lett.86, 254102 (2005). [CrossRef]
  20. H. Makabe, Y. Hirota, M. Tani, and M. Hangyo, “Polarization state measurement of terahertz electromagnetic radiation by three-contact photoconductive antenna,” Opt. Express15, 11650–11657 (2007). [CrossRef] [PubMed]
  21. A Hussain and S. R. Andrews, “Ultrabroadband polarization analysis of terahertz pulses,” Opt. Express16, 7251–7257 (2008). [CrossRef] [PubMed]
  22. M. Neshat and N. P. Armitage, “Improved measurement of polarization state in terahertz polarization spectroscopy,” (submitted) Opt. Lett. (2012).
  23. X.-L. Qi, T. L. Hughes, and S.-C. Zhang, “Topological field theory of time-reversal invariant insulators” Phys. Rev. B78, 195424 (2008).
  24. R. Nandkishore, L. S. Levitov, and A. V. Chubukov, “Chiral superconductivity from repulsive interactions in doped graphene,” Nat. Phys.8, 158–163 (2012). [CrossRef]
  25. W.-K. Tse and A. H. MacDonald, “Magneto-optical Faraday and Kerr effects in topological insulator films and in other layered quantized Hall systems,” Phys. Rev. B84, 205327 (2011). [CrossRef]
  26. J. Maciejko, X.-L. Qi, H. D. Drew, and S.-C. Zhang, “Topological quantization in units of the fine structure constant,” Phys. Rev. Lett.105, 166803 (2010). [CrossRef]
  27. J. Shan, J. I. Dadap, and T. F. Heinz, “Circularly polarized light in the single-cycle limit: the nature of highly polychromatic radiation of defined polarization,” Opt. Express17, 7431–7439 (2009). [CrossRef] [PubMed]
  28. C. Bernhard, J. Humlicek, and B. Keimer, “Far-infrared ellipsometry using a synchrotron light source-the dielectric response of the cuprate high Tc superconductors,” Thin Solid Films455, 143–149 (2004). [CrossRef]
  29. M. Grayson, L. B. Rigal, D. C. Schmadel, H. D. Drew, and P.-J. Kung, “Spectral measurement of the Hall angle response in normal state cuprate superconductors,” Phys. Rev. Lett.89, 037003 (2002). [CrossRef] [PubMed]
  30. G. S. Jenkins, D. C. Schmadel, and H. D. Drew, “Simultaneous measurement of circular dichroism and Faraday rotation at terahertz frequencies utilizing electric field sensitive detection via polarization modulation,” Rev. Sci. Instrum.81, 083903 (2010). [CrossRef] [PubMed]
  31. R. Valdés Aguilar, A. V. Stier, W. Liu, L. S. Bilbro, D. K. George, N. Bansal, L. Wu, J. Cerne, A. G. Markelz, S. Oh, and N. P. Armitager, “Thz response and colossal Kerr rotation from the surface states of the topological insulator Bi2Se3,” Phys. Rev. Lett.108, 087403 (2012). [CrossRef] [PubMed]
  32. D. K. George, A. V. Stier, C. T. Ellis, B. D. McCombe, J. Černe, and A. G. Markelz, “Terahertz magneto optical polarization modulation spectroscopy,” (submitted) J. Opt. Soc. Am. B (2012).
  33. C. Huang, S. Zhao, H. Chen, and Z. Liao, “Attenuation characterization of multiple combinations of imperfect polarizers,” J. Opt. Soc. Am. A27, 1060–1068 (2010). [CrossRef]
  34. L. Ren, C. L. Pint, T. Arikawa, K. Takeya, I. Kawayama, M. Tonouchi, R. H. Hauge, and J. Kono, “Broadband terahertz polarizers with ideal performance based on aligned carbon nanotube stacks,” Nano Lett.12, 787–790 (2012). [CrossRef] [PubMed]
  35. H. Fujiwara, Spectroscopic Ellipsometry: Principles and Applications, (John Wiley & Sons, Ltd., 2006).
  36. M. Born and E. Wolf, Principles of Optics, (Cambridge University Press, 1997).
  37. J.-B. Masson and G. Gallot, “Terahertz achromatic quarter-wave plate,” Opt. Lett.31, 265–267 (2006). [CrossRef] [PubMed]

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