Abstract

We achieve a series of distinct broadband third-harmonic generation (THG) signals at the amorphous glass–air interface attributed to third-order and cascaded third-order nonlinear processes. A novel THG laser sideband arises from cascaded interaction between fundamental pulses and the cascaded four-wave mixing signals. The spatially separated THG sidebands with distinct spectral profiles manifest femtosecond quantum beats. Using a versatile setup with two crossing near-IR pulses temporally delayed to each other, we design an incident pulse polarization control method on the THG sideband lasers and also acquire the low-frequency surface Raman spectrum of the amorphous medium.

© 2013 Optical Society of America

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2013

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J. W. Wilson and R. A. Bartels, J. Opt. Soc. Am. B 29, 1875 (2012).
[CrossRef]

W. Liu, L. Zhu, and C. Fang, Opt. Lett. 37, 3783 (2012).
[CrossRef]

W. Liu, F. Han, C. Smith, and C. Fang, J. Phys. Chem. B 116, 10535 (2012).
[CrossRef]

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

2011

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Y. Miyoshi, S. Zaitsu, and T. Imasaka, Appl. Phys. B 103, 789 (2011).
[CrossRef]

S. K. Das, C. Schwanke, A. Pfuch, W. Seeber, M. Bock, G. Steinmeyer, T. Elsaesser, and R. Grunwald, Opt. Express 19, 16985 (2011).
[CrossRef]

2010

D. Kupka, J. W. Wilson, O. Masihzadeh, and R. A. Bartels, Chem. Phys. Lett. 490, 97 (2010).
[CrossRef]

2009

2008

2006

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

2001

2000

1999

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

1998

1996

1995

T. Y. F. Tsang, Phys. Rev. A 52, 4116 (1995).
[CrossRef]

1982

1981

G. R. Meredith, Phys. Rev. B 24, 5522 (1981).
[CrossRef]

1971

W. K. Burns and N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[CrossRef]

Aber, J. E.

Backus, S.

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

Badolato, A.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Bartels, R.

Bartels, R. A.

Beaurepaire, E.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Bloembergen, N.

W. K. Burns and N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[CrossRef]

Bock, M.

Bosshard, C.

C. Bosshard, U. Gubler, P. Kaatz, W. Mazerant, and U. Meier, Phys. Rev. B 61, 10688 (2000).
[CrossRef]

Boyd, R. W.

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

Brakenhoff, G. J.

Buchalter, B.

Burns, W. K.

W. K. Burns and N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[CrossRef]

Chan, J. W.

Chatfield, C.

C. Chatfield, The Analysis of Time Series: An Introduction, 6th ed. (Chapman & Hall/CRC, 2004).

Chen, K.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Combettes, L.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Crespo, H.

Das, S. K.

Debarre, D.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

DeLong, K. W.

Dos Santos, A.

Elsaesser, T.

Fabre, A.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Fang, C.

W. Liu, L. Zhu, L. Wang, and C. Fang, Opt. Lett. 38, 1772 (2013).
[CrossRef]

W. Liu, F. Han, C. Smith, and C. Fang, J. Phys. Chem. B 116, 10535 (2012).
[CrossRef]

W. Liu, L. Zhu, and C. Fang, Opt. Lett. 37, 3783 (2012).
[CrossRef]

L. Zhu, W. Liu, and C. Fang, Appl. Phys. Lett.103, 061110 (2013).
[CrossRef]

Fittinghoff, D. N.

Gan, F.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Garetz, B. A.

Grunwald, R.

Gubler, U.

C. Bosshard, U. Gubler, P. Kaatz, W. Mazerant, and U. Meier, Phys. Rev. B 61, 10688 (2000).
[CrossRef]

Han, F.

W. Liu, F. Han, C. Smith, and C. Fang, J. Phys. Chem. B 116, 10535 (2012).
[CrossRef]

Hennessy, K. J.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Hu, E. L.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Huang, H.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Huser, T.

Imamoglu, A.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Imasaka, T.

Y. Miyoshi, S. Zaitsu, and T. Imasaka, Appl. Phys. B 103, 789 (2011).
[CrossRef]

Kaatz, P.

C. Bosshard, U. Gubler, P. Kaatz, W. Mazerant, and U. Meier, Phys. Rev. B 61, 10688 (2000).
[CrossRef]

Kapteyn, H.

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

Krol, D. M.

Krumbugel, M. A.

Kupka, D.

D. Kupka, J. W. Wilson, O. Masihzadeh, and R. A. Bartels, Chem. Phys. Lett. 490, 97 (2010).
[CrossRef]

Lai, T.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Li, S.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Liu, W.

W. Liu, L. Zhu, L. Wang, and C. Fang, Opt. Lett. 38, 1772 (2013).
[CrossRef]

W. Liu, L. Zhu, and C. Fang, Opt. Lett. 37, 3783 (2012).
[CrossRef]

W. Liu, F. Han, C. Smith, and C. Fang, J. Phys. Chem. B 116, 10535 (2012).
[CrossRef]

L. Zhu, W. Liu, and C. Fang, Appl. Phys. Lett.103, 061110 (2013).
[CrossRef]

Masihzadeh, O.

D. Kupka, J. W. Wilson, O. Masihzadeh, and R. A. Bartels, Chem. Phys. Lett. 490, 97 (2010).
[CrossRef]

O. Masihzadeh, P. Schlup, and R. A. Bartels, Opt. Lett. 34, 1240 (2009).
[CrossRef]

Mazerant, W.

C. Bosshard, U. Gubler, P. Kaatz, W. Mazerant, and U. Meier, Phys. Rev. B 61, 10688 (2000).
[CrossRef]

Meier, U.

C. Bosshard, U. Gubler, P. Kaatz, W. Mazerant, and U. Meier, Phys. Rev. B 61, 10688 (2000).
[CrossRef]

Mendonca, J. T.

Meredith, G. R.

Miyoshi, Y.

Y. Miyoshi, S. Zaitsu, and T. Imasaka, Appl. Phys. B 103, 789 (2011).
[CrossRef]

Mourou, G.

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

Muller, M.

Murnane, M.

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

Newstein, M. C.

Pena, A.-M.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Pfuch, A.

Reinhard, A.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Risbud, S.

Schanne-Klein, M.-C.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Schlup, P.

Schwanke, C.

Seeber, W.

Smith, C.

W. Liu, F. Han, C. Smith, and C. Fang, J. Phys. Chem. B 116, 10535 (2012).
[CrossRef]

Squier, J.

Steinmeyer, G.

Supatto, W.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Tien, A.-C.

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

Tordjmann, T.

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Trebino, R.

Tsang, T.

Tsang, T. Y. F.

T. Y. F. Tsang, Phys. Rev. A 52, 4116 (1995).
[CrossRef]

Volz, T.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Wang, L.

Wang, W.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Wang, Y.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Wilson, J. W.

Wilson, K. R.

Winger, M.

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Wu, Y.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Yao, D.-x.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Zaitsu, S.

Y. Miyoshi, S. Zaitsu, and T. Imasaka, Appl. Phys. B 103, 789 (2011).
[CrossRef]

Zhu, L.

Zhu, W.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

Appl. Opt.

Appl. Phys. B

Y. Miyoshi, S. Zaitsu, and T. Imasaka, Appl. Phys. B 103, 789 (2011).
[CrossRef]

Chem. Phys. Lett.

D. Kupka, J. W. Wilson, O. Masihzadeh, and R. A. Bartels, Chem. Phys. Lett. 490, 97 (2010).
[CrossRef]

J. Appl. Phys.

S. Li, H. Huang, W. Zhu, W. Wang, K. Chen, D.-x. Yao, Y. Wang, T. Lai, Y. Wu, and F. Gan, J. Appl. Phys. 110, 053523 (2011).
[CrossRef]

J. Opt. Soc. Am. B

J. Phys. Chem. B

W. Liu, F. Han, C. Smith, and C. Fang, J. Phys. Chem. B 116, 10535 (2012).
[CrossRef]

Nat. Methods

D. Debarre, W. Supatto, A.-M. Pena, A. Fabre, T. Tordjmann, L. Combettes, M.-C. Schanne-Klein, and E. Beaurepaire, Nat. Methods 3, 47 (2006).
[CrossRef]

Nat. Photonics

T. Volz, A. Reinhard, M. Winger, A. Badolato, K. J. Hennessy, E. L. Hu, and A. Imamoglu, Nat. Photonics 6, 605 (2012).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

T. Y. F. Tsang, Phys. Rev. A 52, 4116 (1995).
[CrossRef]

T. Tsang, Phys. Rev. A 54, 5454 (1996).
[CrossRef]

Phys. Rev. B

C. Bosshard, U. Gubler, P. Kaatz, W. Mazerant, and U. Meier, Phys. Rev. B 61, 10688 (2000).
[CrossRef]

W. K. Burns and N. Bloembergen, Phys. Rev. B 4, 3437 (1971).
[CrossRef]

G. R. Meredith, Phys. Rev. B 24, 5522 (1981).
[CrossRef]

Phys. Rev. Lett.

A.-C. Tien, S. Backus, H. Kapteyn, M. Murnane, and G. Mourou, Phys. Rev. Lett. 82, 3883 (1999).
[CrossRef]

Other

C. Chatfield, The Analysis of Time Series: An Introduction, 6th ed. (Chapman & Hall/CRC, 2004).

R. W. Boyd, Nonlinear Optics, 3rd ed. (Academic, 2008).

L. Zhu, W. Liu, and C. Fang, Appl. Phys. Lett.103, 061110 (2013).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Photograph of THG and CFWM sideband signals with FP power of 8μJ/pulse. The relatively dim CFWM sidebands in the near IR are highlighted by the white circles. The different sets of distinct sideband pulses are labeled. Bottom, wave vector diagrams illustrating the various phase-matching conditions responsible for the nascent THG and CFWM sideband lasers.

Fig. 2.
Fig. 2.

Normalized spectra of the newly generated THG and CFWM sidebands using two intense fs FP laser beams tightly focused onto a 0.15-mm-thick BK7 glass slide. The spectral shift of the nascent THG sidebands in the UV as well as the CFWM sidebands in the near IR wavelength range is apparent.

Fig. 3.
Fig. 3.

Ultrafast temporal profiles of the signal intensities for (a) TH±1, (b) CFWM±1, (c) CTH±1, and (d) THFP1,2 sideband signals. The solid curves represent the Gaussian-profile fitting results. The corresponding incident pulse width in real time with a typical Gaussian shape is computed (based on the FWHM ratio of 1.225 for THG) and listed in each subfigure for comparison. The relative signal strength is reflected by the integrated peak intensity on CCD, e.g., CTH±1 is much weaker than CFWM±1.

Fig. 4.
Fig. 4.

Composite polarization state dependence of TH±1 sideband signals generated at the glass–air interface upon varying the crossing angle θ between the two depicted FP polarizations. Multiple runs of tuning the θ values between 0 and ±π/2 are performed to ensure reproducibility, and the averaged TH±1 signal intensity at each θ is plotted against the y/x electric field amplitude ratio therein. The smooth solid curve represents the theoretical calculation (see text).

Fig. 5.
Fig. 5.

(a) Ultrafast dynamics of the TH±1 sideband signal intensity collected from a thin fused silica slide. The inset shows the low-frequency Raman modes of fused silica from FFT of the TH±1 temporally oscillatory intensity trace, in comparison with the Stokes–Raman spectrum from our FSRS experiment on the same material. (b) Time-frequency-domain results of the TH±1 dynamics through wavelet decomposition using Morlet wavelet basis. The distinct time evolution of the two dominant coherent Raman modes below 600cm1 on the subpicosecond time scale is salient.

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