Abstract

Phase measurement of continuous-wave terahertz (CW-THz) radiation is a potential tool for direct distance and imaging measurement of optically rough objects due to its high robustness to optical rough surfaces. However, the 2π phase ambiguity in the phase measurement of single-frequency CW-THz radiation limits the dynamic range of the measured distance to the order of the wavelength used. In this article, phase-slope measurement of tunable CW-THz radiation with a THz frequency comb was effectively used to extend the dynamic range up to 1.834 m while maintaining an error of a few tens µm in the distance measurement of an optically rough object. Furthermore, a combination of phase-slope measurement of tunable CW-THz radiation and phase measurement of single-frequency CW-THz radiation enhanced the distance error to a few µm within the dynamic range of 1.834 m without any influence from the 2π phase ambiguity. The proposed method will be a powerful tool for the construction and maintenance of large-scale structures covered with optically rough surfaces.

© 2014 Optical Society of America

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2014 (1)

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

2013 (2)

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

2011 (4)

Y. Wang, Z. Zhao, Z. Chen, L. Zhang, K. Kang, and J. Deng, “Continuous-wave terahertz phase imaging using a far-infrared laser interferometer,” Appl. Opt. 50(35), 6452–6460 (2011).
[Crossref] [PubMed]

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

H. Füser, R. Judaschke, and M. Bieler, “High-precision frequency measurements in the THz spectral region using an unstabilized femtosecond laser,” Appl. Phys. Lett. 99(12), 121111 (2011).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

2010 (6)

2009 (2)

2008 (3)

2007 (1)

T. Löffler, T. May, C. am Weg, A. Alcin, B. Hils, and H. G. Roskos, “Continuous-wave terahertz imaging with a hybrid system,” Appl. Phys. Lett. 90(9), 091111 (2007).
[Crossref]

2006 (1)

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

2005 (2)

C. Janke, M. Först, M. Nagel, H. Kurz, and A. Bartels, “Asynchronous optical sampling for high-speed characterization of integrated resonant terahertz sensors,” Opt. Lett. 30(11), 1405–1407 (2005).
[Crossref] [PubMed]

T. Yasui, E. Saneyoshi, and T. Araki, “Asynchronous optical sampling terahertz time-domain spectroscopy for ultrahigh spectral resolution and rapid data acquisition,” Appl. Phys. Lett. 87(6), 061101 (2005).
[Crossref]

1998 (1)

D. Xiaoli and S. Katuo, “High-accuracy absolute distance measurement by means of wavelength scanning heterodyne interferometry,” Meas. Sci. Technol. 9(7), 1031–1035 (1998).
[Crossref]

1995 (1)

R. A. Cheville and D. Grischkowsky, “Time domain terahertz impulse ranging studies,” Appl. Phys. Lett. 67(14), 1960–1962 (1995).
[Crossref]

1987 (1)

Alcin, A.

T. Löffler, T. May, C. am Weg, A. Alcin, B. Hils, and H. G. Roskos, “Continuous-wave terahertz imaging with a hybrid system,” Appl. Phys. Lett. 90(9), 091111 (2007).
[Crossref]

am Weg, C.

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

B. Hils, M. D. Thomson, T. Löffler, W. von Spiegel, C. am Weg, H. G. Roskos, P. de Maagt, D. Doyle, and R. D. Geckeler, “Terahertz profilometry at 600 GHz with 0.5 μm depth resolution,” Opt. Express 16(15), 11289–11293 (2008).
[Crossref] [PubMed]

T. Löffler, T. May, C. am Weg, A. Alcin, B. Hils, and H. G. Roskos, “Continuous-wave terahertz imaging with a hybrid system,” Appl. Phys. Lett. 90(9), 091111 (2007).
[Crossref]

Andrianov, A. V.

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Araki, T.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

T. Yasui, Y. Kabetani, Y. Ohgi, S. Yokoyama, and T. Araki, “Absolute distance measurement of optically rough objects using asynchronous-optical-sampling terahertz impulse ranging,” Appl. Opt. 49(28), 5262–5270 (2010).
[Crossref] [PubMed]

T. Yasui, R. Nakamura, K. Kawamoto, A. Ihara, Y. Fujimoto, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Real-time monitoring of continuous-wave terahertz radiation using a fiber-based, terahertz-comb-referenced spectrum analyzer,” Opt. Express 17(19), 17034–17043 (2009).
[Crossref] [PubMed]

S. Yokoyama, R. Nakamura, M. Nose, T. Araki, and T. Yasui, “Terahertz spectrum analyzer based on a terahertz frequency comb,” Opt. Express 16(17), 13052–13061 (2008).
[Crossref] [PubMed]

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

T. Yasui, E. Saneyoshi, and T. Araki, “Asynchronous optical sampling terahertz time-domain spectroscopy for ultrahigh spectral resolution and rapid data acquisition,” Appl. Phys. Lett. 87(6), 061101 (2005).
[Crossref]

Barbieri, S.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Bartels, A.

Beere, H.

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Bieler, M.

H. Füser, R. Judaschke, and M. Bieler, “High-precision frequency measurements in the THz spectral region using an unstabilized femtosecond laser,” Appl. Phys. Lett. 99(12), 121111 (2011).
[Crossref]

Blary, K.

Bodrov, S. B.

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Chen, Z.

Cheville, R. A.

R. A. Cheville and D. Grischkowsky, “Time domain terahertz impulse ranging studies,” Appl. Phys. Lett. 67(14), 1960–1962 (1995).
[Crossref]

Colombelli, R.

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

de Maagt, P.

Deng, J.

Deninger, A. J.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Ding, L.

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Doyle, D.

Elzinga, P. A.

Först, M.

Fujimoto, Y.

Füser, H.

H. Füser, R. Judaschke, and M. Bieler, “High-precision frequency measurements in the THz spectral region using an unstabilized femtosecond laser,” Appl. Phys. Lett. 99(12), 121111 (2011).
[Crossref]

Geckeler, R. D.

Gellie, P.

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Göbel, T.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Grischkowsky, D.

R. A. Cheville and D. Grischkowsky, “Time domain terahertz impulse ranging studies,” Appl. Phys. Lett. 67(14), 1960–1962 (1995).
[Crossref]

Henneberger, R.

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

Hils, B.

Hindle, F.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Hsieh, Y.-D.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Hu, Q.

Huang, Y.-W.

Hwang, Y.-J.

Ihara, A.

Inaba, H.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

T. Yasui, R. Nakamura, K. Kawamoto, A. Ihara, Y. Fujimoto, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Real-time monitoring of continuous-wave terahertz radiation using a fiber-based, terahertz-comb-referenced spectrum analyzer,” Opt. Express 17(19), 17034–17043 (2009).
[Crossref] [PubMed]

Iyonaga, Y.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Jagtap, V.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

Jang, Y.

Janke, C.

Jiang, Y.

Judaschke, R.

H. Füser, R. Judaschke, and M. Bieler, “High-precision frequency measurements in the THz spectral region using an unstabilized femtosecond laser,” Appl. Phys. Lett. 99(12), 121111 (2011).
[Crossref]

Kabetani, Y.

T. Yasui, Y. Kabetani, Y. Ohgi, S. Yokoyama, and T. Araki, “Absolute distance measurement of optically rough objects using asynchronous-optical-sampling terahertz impulse ranging,” Appl. Opt. 49(28), 5262–5270 (2010).
[Crossref] [PubMed]

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

Kang, K.

Katuo, S.

D. Xiaoli and S. Katuo, “High-accuracy absolute distance measurement by means of wavelength scanning heterodyne interferometry,” Meas. Sci. Technol. 9(7), 1031–1035 (1998).
[Crossref]

Kawamoto, K.

Khanna, S. P.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

Kim, Y.

Kinder, T.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

King, G. B.

Kiselev, A. M.

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Kneisler, R. J.

Köberle, M.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Kumar, S.

Kuo, C.-C.

Kurz, H.

Lampin, J.-F.

Laurendeau, N. M.

Lee, A. W.-M.

Li, L. H.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

Linfield, E. H.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

Lison, F.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Loeffler, T.

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

Löffler, T.

Lytle, F. E.

Maineult, W.

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Makarov, D. S.

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Manquest, C.

May, T.

T. Löffler, T. May, C. am Weg, A. Alcin, B. Hils, and H. G. Roskos, “Continuous-wave terahertz imaging with a hybrid system,” Appl. Phys. Lett. 90(9), 091111 (2007).
[Crossref]

Meissner, P.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Minoshima, K.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

T. Yasui, R. Nakamura, K. Kawamoto, A. Ihara, Y. Fujimoto, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Real-time monitoring of continuous-wave terahertz radiation using a fiber-based, terahertz-comb-referenced spectrum analyzer,” Opt. Express 17(19), 17034–17043 (2009).
[Crossref] [PubMed]

Mori, Y.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Müller-Wirts, T.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Nagatsuma, T.

Nagel, M.

Nakamura, R.

Nose, M.

Ohgi, Y.

Ravaro, M.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

Reno, J. L.

Ritchie, D.

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Roggenbuck, A.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Roskos, H. G.

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

B. Hils, M. D. Thomson, T. Löffler, W. von Spiegel, C. am Weg, H. G. Roskos, P. de Maagt, D. Doyle, and R. D. Geckeler, “Terahertz profilometry at 600 GHz with 0.5 μm depth resolution,” Opt. Express 16(15), 11289–11293 (2008).
[Crossref] [PubMed]

T. Löffler, T. May, C. am Weg, A. Alcin, B. Hils, and H. G. Roskos, “Continuous-wave terahertz imaging with a hybrid system,” Appl. Phys. Lett. 90(9), 091111 (2007).
[Crossref]

Sakaguchi, Y.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Saneyoshi, E.

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

T. Yasui, E. Saneyoshi, and T. Araki, “Asynchronous optical sampling terahertz time-domain spectroscopy for ultrahigh spectral resolution and rapid data acquisition,” Appl. Phys. Lett. 87(6), 061101 (2005).
[Crossref]

Santarelli, G.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Schönherr, D.

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Seo, D.-C.

Shkaev, A. P.

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Sirtori, C.

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

M. Ravaro, C. Manquest, C. Sirtori, S. Barbieri, G. Santarelli, K. Blary, J.-F. Lampin, S. P. Khanna, and E. H. Linfield, “Phase-locking of a 2.5 THz quantum cascade laser to a frequency comb using a GaAs photomixer,” Opt. Lett. 36(20), 3969–3971 (2011).
[Crossref] [PubMed]

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Sun, C.-K.

Takahashi, Y.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Thomson, M. D.

Tretyakov, M. Y.

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Tseng, T.-F.

von Spiegel, W.

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

B. Hils, M. D. Thomson, T. Löffler, W. von Spiegel, C. am Weg, H. G. Roskos, P. de Maagt, D. Doyle, and R. D. Geckeler, “Terahertz profilometry at 600 GHz with 0.5 μm depth resolution,” Opt. Express 16(15), 11289–11293 (2008).
[Crossref] [PubMed]

Wang, Y.

Williams, B. S.

Xiaoli, D.

D. Xiaoli and S. Katuo, “High-accuracy absolute distance measurement by means of wavelength scanning heterodyne interferometry,” Meas. Sci. Technol. 9(7), 1031–1035 (1998).
[Crossref]

Yasui, T.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

T. Yasui, Y. Kabetani, Y. Ohgi, S. Yokoyama, and T. Araki, “Absolute distance measurement of optically rough objects using asynchronous-optical-sampling terahertz impulse ranging,” Appl. Opt. 49(28), 5262–5270 (2010).
[Crossref] [PubMed]

T. Yasui, R. Nakamura, K. Kawamoto, A. Ihara, Y. Fujimoto, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Real-time monitoring of continuous-wave terahertz radiation using a fiber-based, terahertz-comb-referenced spectrum analyzer,” Opt. Express 17(19), 17034–17043 (2009).
[Crossref] [PubMed]

S. Yokoyama, R. Nakamura, M. Nose, T. Araki, and T. Yasui, “Terahertz spectrum analyzer based on a terahertz frequency comb,” Opt. Express 16(17), 13052–13061 (2008).
[Crossref] [PubMed]

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

T. Yasui, E. Saneyoshi, and T. Araki, “Asynchronous optical sampling terahertz time-domain spectroscopy for ultrahigh spectral resolution and rapid data acquisition,” Appl. Phys. Lett. 87(6), 061101 (2005).
[Crossref]

Yee, D.-S.

Yokoyama, S.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

T. Yasui, Y. Kabetani, Y. Ohgi, S. Yokoyama, and T. Araki, “Absolute distance measurement of optically rough objects using asynchronous-optical-sampling terahertz impulse ranging,” Appl. Opt. 49(28), 5262–5270 (2010).
[Crossref] [PubMed]

T. Yasui, R. Nakamura, K. Kawamoto, A. Ihara, Y. Fujimoto, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Real-time monitoring of continuous-wave terahertz radiation using a fiber-based, terahertz-comb-referenced spectrum analyzer,” Opt. Express 17(19), 17034–17043 (2009).
[Crossref] [PubMed]

S. Yokoyama, R. Nakamura, M. Nose, T. Araki, and T. Yasui, “Terahertz spectrum analyzer based on a terahertz frequency comb,” Opt. Express 16(17), 13052–13061 (2008).
[Crossref] [PubMed]

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

Yoshimura, M.

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

Zhang, L.

Zhao, Z.

Zimmermann, R.

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

Appl. Opt. (3)

Appl. Phys. Lett. (6)

H. Füser, R. Judaschke, and M. Bieler, “High-precision frequency measurements in the THz spectral region using an unstabilized femtosecond laser,” Appl. Phys. Lett. 99(12), 121111 (2011).
[Crossref]

T. Yasui, E. Saneyoshi, and T. Araki, “Asynchronous optical sampling terahertz time-domain spectroscopy for ultrahigh spectral resolution and rapid data acquisition,” Appl. Phys. Lett. 87(6), 061101 (2005).
[Crossref]

T. Yasui, Y. Kabetani, E. Saneyoshi, S. Yokoyama, and T. Araki, “Terahertz frequency comb by multi-frequency-heterodyning photoconductive detection for high-accuracy, high-resolution terahertz spectroscopy,” Appl. Phys. Lett. 88(24), 241104 (2006).
[Crossref]

M. Ravaro, V. Jagtap, G. Santarelli, C. Sirtori, L. H. Li, S. P. Khanna, E. H. Linfield, and S. Barbieri, “Continuous-wave coherent imaging with terahertz quantum cascade lasers using electro-optic harmonic sampling,” Appl. Phys. Lett. 102(9), 091107 (2013).
[Crossref]

T. Löffler, T. May, C. am Weg, A. Alcin, B. Hils, and H. G. Roskos, “Continuous-wave terahertz imaging with a hybrid system,” Appl. Phys. Lett. 90(9), 091111 (2007).
[Crossref]

R. A. Cheville and D. Grischkowsky, “Time domain terahertz impulse ranging studies,” Appl. Phys. Lett. 67(14), 1960–1962 (1995).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (1)

T. Yasui, S. Yokoyama, H. Inaba, K. Minoshima, T. Nagatsuma, and T. Araki, “Terahertz frequency metrology based on frequency comb,” IEEE J. Sel. Top. Quantum Electron. 17(1), 191–201 (2011).
[Crossref]

IEEE Trans. Terahertz Sci. Technol. (1)

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, Y. Takahashi, M. Yoshimura, Y. Mori, T. Araki, and T. Yasui, “Terahertz comb spectroscopy traceable to microwave frequency standard,” IEEE Trans. Terahertz Sci. Technol. 3(3), 322–330 (2013).
[Crossref]

J. Infrared Millim. Terahertz Waves (1)

C. am Weg, W. von Spiegel, R. Henneberger, R. Zimmermann, T. Loeffler, and H. G. Roskos, “Fast active thz cameras with ranging capabilities,” J. Infrared Millim. Terahertz Waves 30, 1281–1296 (2009).

JETP Lett. (1)

M. Y. Tretyakov, A. P. Shkaev, A. M. Kiselev, S. B. Bodrov, A. V. Andrianov, and D. S. Makarov, “Frequency stabilization of a primary subterahertz oscillator by a frequency comb of a femtosecond laser,” JETP Lett. 91(5), 222–225 (2010).
[Crossref]

Meas. Sci. Technol. (1)

D. Xiaoli and S. Katuo, “High-accuracy absolute distance measurement by means of wavelength scanning heterodyne interferometry,” Meas. Sci. Technol. 9(7), 1031–1035 (1998).
[Crossref]

Nat. Photonics (1)

S. Barbieri, P. Gellie, G. Santarelli, L. Ding, W. Maineult, C. Sirtori, R. Colombelli, H. Beere, and D. Ritchie, “Phase-locking of a 2.7-THz quantum cascade laser to a mode-locked erbium-doped fibre laser,” Nat. Photonics 4(9), 636–640 (2010).
[Crossref]

Opt. Express (3)

Opt. Lett. (5)

Rev. Sci. Instrum. (1)

A. J. Deninger, T. Göbel, D. Schönherr, T. Kinder, A. Roggenbuck, M. Köberle, F. Lison, T. Müller-Wirts, and P. Meissner, “Precisely tunable continuous-wave terahertz source with interferometric frequency control,” Rev. Sci. Instrum. 79(4), 044702 (2008).
[Crossref] [PubMed]

Sci. Rep. (1)

Y.-D. Hsieh, Y. Iyonaga, Y. Sakaguchi, S. Yokoyama, H. Inaba, K. Minoshima, F. Hindle, T. Araki, and T. Yasui, “Spectrally interleaved, comb-mode-resolved spectroscopy using swept dual terahertz combs,” Sci. Rep. 4, 3816 (2014).
[Crossref] [PubMed]

Other (1)

S. Bartalini, L. Consolino, A. Taschin, P. Bartolini, P. Cancio, M. De Pas, H. Beere, D. Ritchie, M. S. Vitiello, R. Torre, and P. De Natale, “THz spectroscopy with an absolute frequency scale by a QCL phase-locked to a THz frequency comb,” in Conference on Lasers and Electro-Optics (CLEO)2013, Technical Digest (CD) (Optical Society of America, 2013), paper CTu3I.
[Crossref]

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Figures (5)

Fig. 1
Fig. 1

THz phase measurement at multiple frequencies using THz frequency comb.

Fig. 2
Fig. 2

Experimental setup. BSs: Si beam-splitters; PCA1 and PCA2: Bowtie-shaped, low-temperature-grown GaAs photoconductive antennae; AMPs: current preamplifiers.

Fig. 3
Fig. 3

(a) Relations between frequency νTHz and total phase ϕTHz with respect to various target positions. (b) Relation and (c) discrepancy between the target position and the target distance D measured with the phase-slope method.

Fig. 4
Fig. 4

Phase fluctuation and the corresponding distance resolution at five different frequencies.

Fig. 5
Fig. 5

(a) Schematic and (b) line imaging result of a two-stepped, aluminum block with a step height of 8.37 mm.

Tables (1)

Tables Icon

Table 1 NTHz, εTHz, Dfin, and discrepancy between target position and Dfin at target target positions of 15, 30, and 45 mm (νTHz = 101.25 GHz).

Equations (8)

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f b = | ν T H z m f r e p | .
D= λ THz 2 ( ϕ THz 2π )= λ THz 2 ( N THz + ε THz )= c 2 ν THz ( N THz + ε THz ),
D= c 2 ν THz1 ( ϕ THz1 2π )= c 2 ν THz2 ( ϕ THz2 2π )== c 2 ν THzi ( ϕ THzi 2π )= c 4π ( ϕ THzi ν THzi ).
D= c 4π ( Δ ϕ THz Δ ν THz )= c 2 ν THz ( N THz + ε THz ).
N THz + ε THz = ν THz 2π Δ ϕ THz Δ ν THz ,
N THz =INT( ν THz 2π Δ ϕ THz Δ ν THz ),
N THz =MOD( ν THz 2π Δ ϕ THz Δ ν THz ),
D max = c 4π ( Δ ϕ THz Δ ν THz )= c 4π ( 2π f rep )= c 4π ( 2π c 2L )=L=1.834 m,

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