Abstract

We report efficient high-resolution electro-optic sampling detection of broadband terahertz radiation by measuring direct intensity modulation of a femtosecond fiber laser beam induced by terahertz field in a 1-cm thick GaAs crystal.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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  1. Q. Wu and X.-C. Zhang, “Ultrafast electro-optic field sensors,” Appl. Phys. Lett. 68(12), 1604–1606 (1996).
    [Crossref]
  2. A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
    [Crossref] [PubMed]
  3. D. H. Auston, K. P. Cheung, and P. R. Smith, “Picosecond photoconducting Hertzian dipoles,” Appl. Phys. Lett. 45(3), 284–286 (1984).
    [Crossref]
  4. M. Tani, K. Horita, T. Kinoshita, C. T. Que, E. Estacio, K. Yamamoto, and M. I. Bakunov, “Efficient electro-optic sampling detection of terahertz radiation via Cherenkov phase matching,” Opt. Express 19(21), 19901–19906 (2011).
    [Crossref] [PubMed]
  5. E. A. Mashkovich, A. I. Shugurov, S. Ozawa, E. Estacio, M. Tani, and M. I. Bakunov, “Noncollinear electro-optic sampling of terahertz waves in a thick GaAs crystal,” IEEE Trans. THz Sci. Technol. 5(5), 732–736 (2015).
  6. M. Tani, T. Kinoshita, T. Nagase, K. Horita, C. T. Que, E. Estacio, K. Yamamoto, and M. I. Bakunov, “Non-ellipsometric detection of terahertz radiation using heterodyne EO sampling in the Cherenkov velocity matching scheme,” Opt. Express 21(8), 9277–9288 (2013).
    [Crossref] [PubMed]
  7. M. I. Bakunov, S. D. Gorelov, and M. Tani, “Nonellipsometric noncollinear electrooptic sampling of terahertz waves: A comprehensive theory,” IEEE Trans. THz Sci. Technol. 6(3), 473–479 (2016).
  8. I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
    [Crossref]
  9. M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
    [Crossref]
  10. Z. Zhao, A. Schwagmann, F. Ospald, D. C. Driscoll, H. Lu, A. C. Gossard, and J. H. Smet, “Thickness dependence of the terahertz response in <110>-oriented GaAs crystals for electro-optic sampling at 1.55 microm,” Opt. Express 18(15), 15956–15963 (2010).
    [Crossref] [PubMed]
  11. Q. Chen, M. Tani, Z. Jiang, and X.-C. Zhang, “Electro-optic transceivers for terahertz-wave applications,” J. Opt. Soc. Am. B 18(6), 823–831 (2001).
    [Crossref]
  12. N. C. J. van der Valk, T. Wenckebach, and P. C. M. Planken, “Full mathematical description of electro-optic detection in optically isotropic crystals,” J. Opt. Soc. Am. B 21(3), 622–631 (2004).
    [Crossref]
  13. R. D. Santos, S. Ozawa, V. Mag-Usara, S. Azuma, A. Tuico, V. Copa, A. Salvador, K. Yamamoto, A. Somintac, K. Kurihara, H. Kitahara, M. Tani, and E. Estacio, “Cherenkov-phase-matched nonlinear optical detection and generation of terahertz radiation via GaAs with metal-coating,” Opt. Express 24(22), 24980–24988 (2016).
    [Crossref] [PubMed]
  14. S. P. Kovalev and G. Kh. Kitaeva, “Terahertz electro-optical detection: optical phase or energy measurements,” J. Opt. Soc. Am. B 30(10), 2650–2656 (2013).
    [Crossref]

2016 (2)

2015 (2)

I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
[Crossref]

E. A. Mashkovich, A. I. Shugurov, S. Ozawa, E. Estacio, M. Tani, and M. I. Bakunov, “Noncollinear electro-optic sampling of terahertz waves in a thick GaAs crystal,” IEEE Trans. THz Sci. Technol. 5(5), 732–736 (2015).

2013 (3)

2011 (1)

2010 (1)

2004 (2)

N. C. J. van der Valk, T. Wenckebach, and P. C. M. Planken, “Full mathematical description of electro-optic detection in optically isotropic crystals,” J. Opt. Soc. Am. B 21(3), 622–631 (2004).
[Crossref]

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

2001 (1)

1996 (1)

Q. Wu and X.-C. Zhang, “Ultrafast electro-optic field sensors,” Appl. Phys. Lett. 68(12), 1604–1606 (1996).
[Crossref]

1984 (1)

D. H. Auston, K. P. Cheung, and P. R. Smith, “Picosecond photoconducting Hertzian dipoles,” Appl. Phys. Lett. 45(3), 284–286 (1984).
[Crossref]

Akhmedzhanov, R. A.

I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
[Crossref]

Auston, D. H.

D. H. Auston, K. P. Cheung, and P. R. Smith, “Picosecond photoconducting Hertzian dipoles,” Appl. Phys. Lett. 45(3), 284–286 (1984).
[Crossref]

Azuma, S.

Bakunov, M. I.

M. I. Bakunov, S. D. Gorelov, and M. Tani, “Nonellipsometric noncollinear electrooptic sampling of terahertz waves: A comprehensive theory,” IEEE Trans. THz Sci. Technol. 6(3), 473–479 (2016).

E. A. Mashkovich, A. I. Shugurov, S. Ozawa, E. Estacio, M. Tani, and M. I. Bakunov, “Noncollinear electro-optic sampling of terahertz waves in a thick GaAs crystal,” IEEE Trans. THz Sci. Technol. 5(5), 732–736 (2015).

M. Tani, T. Kinoshita, T. Nagase, K. Horita, C. T. Que, E. Estacio, K. Yamamoto, and M. I. Bakunov, “Non-ellipsometric detection of terahertz radiation using heterodyne EO sampling in the Cherenkov velocity matching scheme,” Opt. Express 21(8), 9277–9288 (2013).
[Crossref] [PubMed]

M. Tani, K. Horita, T. Kinoshita, C. T. Que, E. Estacio, K. Yamamoto, and M. I. Bakunov, “Efficient electro-optic sampling detection of terahertz radiation via Cherenkov phase matching,” Opt. Express 19(21), 19901–19906 (2011).
[Crossref] [PubMed]

Bessho, T.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Busacca, A. C.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Chen, Q.

Cheung, K. P.

D. H. Auston, K. P. Cheung, and P. R. Smith, “Picosecond photoconducting Hertzian dipoles,” Appl. Phys. Lett. 45(3), 284–286 (1984).
[Crossref]

Cino, A. C.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Copa, V.

Driscoll, D. C.

Estacio, E.

Gorelov, S. D.

M. I. Bakunov, S. D. Gorelov, and M. Tani, “Nonellipsometric noncollinear electrooptic sampling of terahertz waves: A comprehensive theory,” IEEE Trans. THz Sci. Technol. 6(3), 473–479 (2016).

Gossard, A. C.

Hirosumi, T.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Horita, K.

Ilyakov, I. E.

I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
[Crossref]

Jiang, Z.

Kinoshita, T.

Kitaeva, G. Kh.

I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
[Crossref]

S. P. Kovalev and G. Kh. Kitaeva, “Terahertz electro-optical detection: optical phase or energy measurements,” J. Opt. Soc. Am. B 30(10), 2650–2656 (2013).
[Crossref]

Kitahara, H.

Kovalev, S. P.

Kurihara, K.

Livreri, P.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Lu, H.

Mag-Usara, V.

Mashkovich, E. A.

E. A. Mashkovich, A. I. Shugurov, S. Ozawa, E. Estacio, M. Tani, and M. I. Bakunov, “Noncollinear electro-optic sampling of terahertz waves in a thick GaAs crystal,” IEEE Trans. THz Sci. Technol. 5(5), 732–736 (2015).

Morandotti, R.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Nagai, M.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Nagase, T.

Ohtake, H.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Ospald, F.

Ozawa, S.

Parisi, A.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Peccianti, M.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Planken, P. C. M.

Que, C. T.

Salvador, A.

Santos, R. D.

Schwagmann, A.

Shishkin, B. V.

I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
[Crossref]

Shugurov, A. I.

E. A. Mashkovich, A. I. Shugurov, S. Ozawa, E. Estacio, M. Tani, and M. I. Bakunov, “Noncollinear electro-optic sampling of terahertz waves in a thick GaAs crystal,” IEEE Trans. THz Sci. Technol. 5(5), 732–736 (2015).

Smet, J. H.

Smith, P. R.

D. H. Auston, K. P. Cheung, and P. R. Smith, “Picosecond photoconducting Hertzian dipoles,” Appl. Phys. Lett. 45(3), 284–286 (1984).
[Crossref]

Somintac, A.

Stivala, S.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Sugiura, T.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Tanaka, K.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Tani, M.

Tomasino, A.

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

Tuico, A.

van der Valk, N. C. J.

Wenckebach, T.

Wu, Q.

Q. Wu and X.-C. Zhang, “Ultrafast electro-optic field sensors,” Appl. Phys. Lett. 68(12), 1604–1606 (1996).
[Crossref]

Yamamoto, K.

Yoshida, M.

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

Zhang, X.-C.

Zhao, Z.

Appl. Phys. Lett. (4)

Q. Wu and X.-C. Zhang, “Ultrafast electro-optic field sensors,” Appl. Phys. Lett. 68(12), 1604–1606 (1996).
[Crossref]

D. H. Auston, K. P. Cheung, and P. R. Smith, “Picosecond photoconducting Hertzian dipoles,” Appl. Phys. Lett. 45(3), 284–286 (1984).
[Crossref]

I. E. Ilyakov, G. Kh. Kitaeva, B. V. Shishkin, and R. A. Akhmedzhanov, “Terahertz wave electro-optic measurements with optical spectral filtering,” Appl. Phys. Lett. 106(12), 121101 (2015).
[Crossref]

M. Nagai, K. Tanaka, H. Ohtake, T. Bessho, T. Sugiura, T. Hirosumi, and M. Yoshida, “Generation and detection of terahertz radiation by electro-optical process in GaAs using 1.56 μm fiber laser pulses,” Appl. Phys. Lett. 85(18), 3974–3976 (2004).
[Crossref]

IEEE Trans. THz Sci. Technol. (2)

E. A. Mashkovich, A. I. Shugurov, S. Ozawa, E. Estacio, M. Tani, and M. I. Bakunov, “Noncollinear electro-optic sampling of terahertz waves in a thick GaAs crystal,” IEEE Trans. THz Sci. Technol. 5(5), 732–736 (2015).

M. I. Bakunov, S. D. Gorelov, and M. Tani, “Nonellipsometric noncollinear electrooptic sampling of terahertz waves: A comprehensive theory,” IEEE Trans. THz Sci. Technol. 6(3), 473–479 (2016).

J. Opt. Soc. Am. B (3)

Opt. Express (4)

Sci. Rep. (1)

A. Tomasino, A. Parisi, S. Stivala, P. Livreri, A. C. Cino, A. C. Busacca, M. Peccianti, and R. Morandotti, “Wideband THz time domain spectroscopy based on optical rectification and electro-optic sampling,” Sci. Rep. 3(1), 3116 (2013).
[Crossref] [PubMed]

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Figures (5)

Fig. 1
Fig. 1 (a) Schematic of the experimental setup. (b) The polarizations of the optical and terahertz beams that optimize the efficiency of the nonellipsometric sampling.
Fig. 2
Fig. 2 EO signals obtained by the nonellipsometric (NEL) method with different widths of the probe beam. EO signal obtained by the ellipsometric (EL) method is shown for reference. The inset compares the normalized shapes of the NEL 80 μm signal (solid) and the time derivative of the EL signal (dashed).
Fig. 3
Fig. 3 Amplitude spectra of the EO signals shown in Fig. 2.
Fig. 4
Fig. 4 Transfer function of the nonellipsometric scheme for different widths of the probe beam. The spectrum of the ellipsometric EO signal is shown for reference.
Fig. 5
Fig. 5 The output nonellipsometric EO signal as a function of θ: experiment (crosses) and theory (solid line).

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

s( τ ) 0 dΩ H( Ω )Im[ E THz ( Ω ) e iΩτ ],
E opt (ω)= E (0) (ω)+ΔE(ω),
P i NL ( ω )=2 ε 0 0 dΩ χ ijk ( 2 ) E j ( 0 ) ( ωΩ ) E k THz ( ±Ω )
I(ω) | E (0) (ω)+Δ E (ω) | 2 + | Δ E (ω) | 2 | E (0) (ω) | 2 +2Re[ E (0) (ω)Δ E * (ω) ],
ΔI(ω)=I(ω) I (0) (ω)2Re[ E (0) (ω)Δ E * (ω) ],

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