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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 4 — Feb. 1, 2006
  • pp: 648–652

Deviation of optical constants extracted in terahertz transmission spectroscopy

Xinlong Xu, Xiumin Wang, and Li Wang  »View Author Affiliations

Applied Optics, Vol. 45, Issue 4, pp. 648-652 (2006)

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We present a simulation with a Lorentz oscillator model to evaluate the accuracy of the extracted optical constants in terahertz transmission spectroscopy. The contributions of various error sources including the deflection of the incident angle, the delay-line timing error, and two other kinds of noises are analyzed. It is revealed that the influence of the deflection angle is an approximate parabolic dependence. The delay-line timing uncertainty introduces an exponential frequency dependence in the deviation of the extinction coefficient and a distinct change in the refractive index data in the resonant region. When background and 1 / f noises are introduced, the deviation mainly concentrates in the resonant region.

© 2006 Optical Society of America

OCIS Codes
(120.4530) Instrumentation, measurement, and metrology : Optical constants
(120.4800) Instrumentation, measurement, and metrology : Optical standards and testing
(300.6270) Spectroscopy : Spectroscopy, far infrared

ToC Category:

Original Manuscript: April 21, 2005
Revised Manuscript: July 29, 2005
Manuscript Accepted: August 2, 2005

Xinlong Xu, Xiumin Wang, and Li Wang, "Deviation of optical constants extracted in terahertz transmission spectroscopy," Appl. Opt. 45, 648-652 (2006)

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  1. E. D. Palik, Handbook of Optical Constants of Solids (Academic, New York, 1991).
  2. M. V. Exter, C. Fattinger, and D. Grischkowsky, "Terahertz time-domain spectroscopy of water vapor," Opt. Lett. 14, 1128-1130 (1989). [CrossRef] [PubMed]
  3. D. H. Auston and K. P. Cheung, "Coherent time-domain far-infrared spectroscopy," J. Opt. Soc. Am. B 1, 606-612 (1985).
  4. D. Grischkowsky, S. Keiding, M. van Exter, and Ch. Fattinger, "Far-infrared time-domain spectroscopy with terahertz beams of dielectrics and semiconductors," J. Opt. Soc. Am. B 7, 2006-2014 (1990). [CrossRef]
  5. M. Schall, H. Helm, and S. R. Keiding, "Far-infrared properties of electro-optic crystals measured by THz time-domain spectroscopy," Int. J. Infrared Millim. Waves 20, 595-605 (1999). [CrossRef]
  6. T. Kiwa and M. Tonouchi, "High frequency properties of YBCO thin films diagnosed by time-domain terahertz spectroscopy," Physica C 362, 314-318 (2001).
  7. A. G. Markelz, A. Roitberg, and E. J. Heilweil, "Pulse terahertz spectroscopy of DNA, bovine serum albumin and collagen between 0.1 and 2.0 THz," Chem. Phys. Lett. 320, 42-48 (2000). [CrossRef]
  8. B. M. Fischer, M. Walther, and P. Uhd Jepsen, "Far-infrared vibrational modes of DNA components studied by terahertz time-domain spectroscopy," Phys. Med. Biol. 47, 3807-3814 (2002). [CrossRef] [PubMed]
  9. P. Uhd Jepsen and B. M. Fischer, "Dynamic range in terahertz time-domain transmission and reflection spectroscopy," Opt. Lett. 30, 29-31 (2005). [CrossRef] [PubMed]
  10. M. van Exter and D. R. Grischkowsky, "Characterization of an optoelectronic terahertz beam system," IEEE Trans. Microwave Theory and Tech. 38, 1684-1691 (1990). [CrossRef]
  11. L. Duvillaret, F. Garet, and J.-L. Coutaz, "Influence of noise on the characterization of materials by terahertz time-domain spectroscopy," J. Opt. Soc. Am. B 17, 452-461 (2000).
  12. L. Duvillaret, F. Garet, and J.-L. Coutaz, "A reliable method for extraction of material parameters in terahertz time-domain spectroscopy," IEEE J. Sel. Top. Quantum Electron. 2, 793-745 (1996).
  13. T. D. Dorney, R. G. Baraniuk, and D. M. Mittleman, "Material parameter estimation with terahertz time-domain spectroscopy," J. Opt. Soc. Am. A 18, 1562-11570 (2001). [CrossRef]
  14. L. Duvillaret, F. Garet, and J.-L. Coutaz, "Highly precise determination of optical constants and sample thickness in terahertz time-domain spectroscopy," Appl. Opt. 38, 409-415 (1998). [CrossRef]
  15. H. Sakai, G. A. Vanasse, and M. L. Forman, "Spectral recovery in Fourier spectroscopy," J. Opt. Soc. Am. 58, 84-90 (1968). [CrossRef]
  16. L. Palchetti and D. Lastrucci, "Spectral noise due to sampling errors in Fourier-transform spectroscopy," Appl. Opt. 40, 3235-3243 (1998). [CrossRef]
  17. R. C. M. Learner, A. P. Thorne, and J. W. Brault, "Ghosts and artifacts in Fourier-transform spectroscopy," Appl. Opt. 35, 2947-2954 (1996). [CrossRef] [PubMed]
  18. T.-I. Jeon and D. Grischkowsky, "Characterization of optically dense, doped semiconductors by reflection THz time-domain spectroscopy," Appl. Phys. Lett. 72, 3032-3034 (1998). [CrossRef]
  19. J. Son, J. V. Rudd, and J. F. Whitaker, "Noise characterization of a self-mode-locked Ti:sapphire laser," Opt. Lett. 17, 733-735 (1992). [CrossRef] [PubMed]
  20. L. Andor, A. Lörincz, J. Siemion, D. D. Smith, and S. A. Rice, "Shot-noise-limited detection scheme for two-beam laser spectroscopies," Rev. Sci. Instrum. 55, 64-67 (1984). [CrossRef]
  21. S. Mickan, D. Abbott, J. Munch, and X.-C. Zhang, "Noise reduction in terahertz thin film measurement using double modulated differential technique," Fluct. Noise Lett. 2, R13-R28 (2002). [CrossRef]
  22. S. Mickan, D. Abbott, J. Munch, X.-C. Zhang, and T. van Dorn, "Analysis of system trade-offs for terahertz imaging," Microelectron. J. 31, 503-514 (2000). [CrossRef]
  23. J. Z. Xu, T. Yuan, S. Mickan, and X.-C. Zhang, "Fundamental limit of spectral in terahertz time-domain spectroscopy," Chin. Phys. Lett. 20, 1266-1268 (2003). [CrossRef]

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