Abstract

A linear optical technique for chirp characteristics measurement based on frequency domain interference is developed. This technique can be applied to measure the temporal structure of linearly chirped pulses which have become increasingly important in ultrafast optics. To confirm this technique, an experiment is carried out to measure the chirp rate and duration of a picosecond chirped pulse with an imaging spectrometer.

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  4. B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Details of electro-optic terahertz detection with a chirped probe pulse,” Opt. Express15(3), 1376–1383 (2007).
    [CrossRef] [PubMed]
  5. K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
    [CrossRef]
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    [CrossRef]
  7. C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  11. K. Y. Kim, I. Alexeev, and H. M. Milchberg, “Single-shot measurement of laser-induced double step ionization of helium,” Opt. Express10(26), 1563–1572 (2002).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  18. W. J. Tan, H. Liu, J. H. Si, and X. Hou, “Control of the gated spectra with narrow bandwidth from a supercontinuum using ultrafast optical Kerr gate of bismuth glass,” Appl. Phys. Lett.93(5), 051109 (2008).
    [CrossRef]
  19. T. F. Albrecht, K. Seibert, and H. Kurz, “Chirp measurement of large-bandwidth femtosecond optical pulses using two-photon absorption,” Opt. Commun.84(5-6), 223–227 (1991).
    [CrossRef]
  20. K. Y. Kim, I. Alexeev, and H. M. Milchberg, “Single-shot supercontinuum spectral interferometry,” Appl. Phys. Lett.81(22), 4124–4126 (2002).
    [CrossRef]

2011

J. C. Crowhurst, M. R. Armstrong, K. B. Knight, J. M. Zaug, and E. M. Behymer, “Invariance of the dissipative action at ultrahigh strain rates above the strong shock threshold,” Phys. Rev. Lett.107(14), 144302 (2011).
[CrossRef] [PubMed]

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, and P. D. Gupta, “Chirped pulse interferometry for time resolved density and velocity measurements of laser produced plasmas,” J. Appl. Phys.110(2), 023305 (2011).
[CrossRef]

2010

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

M. R. Armstrong, J. C. Crowhurst, S. Bastea, and J. M. Zaug, “Ultrafast observation of shocked states in a precompressed material,” J. Appl. Phys.108(2), 023511 (2010).
[CrossRef]

2008

C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
[CrossRef]

W. J. Tan, H. Liu, J. H. Si, and X. Hou, “Control of the gated spectra with narrow bandwidth from a supercontinuum using ultrafast optical Kerr gate of bismuth glass,” Appl. Phys. Lett.93(5), 051109 (2008).
[CrossRef]

H. Liu, W. J. Tan, J. H. Si, X. Hou, and X. Hou, “Acquisition of gated spectra from a supercontinuum using ultrafast optical Kerr gate of lead phthalocyanine-doped hybrid glasses,” Opt. Express16(17), 13486–13491 (2008).
[CrossRef] [PubMed]

2007

2006

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

2005

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Algorithm for high-resolution single-shot THz measurement using in-line spectral interferometry with chirped pulses,” Appl. Phys. Lett.87(21), 211109 (2005).
[CrossRef]

2002

2001

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

J.-P. Geindre, P. Audebert, S. Rebibo, and J.-C. Gauthier, “Single-shot spectral interferometry with chirped pulses,” Opt. Lett.26(20), 1612–1614 (2001).
[CrossRef] [PubMed]

2000

1995

1991

T. F. Albrecht, K. Seibert, and H. Kurz, “Chirp measurement of large-bandwidth femtosecond optical pulses using two-photon absorption,” Opt. Commun.84(5-6), 223–227 (1991).
[CrossRef]

Albrecht, T. F.

T. F. Albrecht, K. Seibert, and H. Kurz, “Chirp measurement of large-bandwidth femtosecond optical pulses using two-photon absorption,” Opt. Commun.84(5-6), 223–227 (1991).
[CrossRef]

Alexeev, I.

Armstrong, M. R.

J. C. Crowhurst, M. R. Armstrong, K. B. Knight, J. M. Zaug, and E. M. Behymer, “Invariance of the dissipative action at ultrahigh strain rates above the strong shock threshold,” Phys. Rev. Lett.107(14), 144302 (2011).
[CrossRef] [PubMed]

M. R. Armstrong, J. C. Crowhurst, S. Bastea, and J. M. Zaug, “Ultrafast observation of shocked states in a precompressed material,” J. Appl. Phys.108(2), 023511 (2010).
[CrossRef]

Audebert, P.

J.-P. Geindre, P. Audebert, S. Rebibo, and J.-C. Gauthier, “Single-shot spectral interferometry with chirped pulses,” Opt. Lett.26(20), 1612–1614 (2001).
[CrossRef] [PubMed]

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

Averitt, R. D.

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

Barnwal, S.

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, and P. D. Gupta, “Chirped pulse interferometry for time resolved density and velocity measurements of laser produced plasmas,” J. Appl. Phys.110(2), 023305 (2011).
[CrossRef]

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

Bastea, S.

M. R. Armstrong, J. C. Crowhurst, S. Bastea, and J. M. Zaug, “Ultrafast observation of shocked states in a precompressed material,” J. Appl. Phys.108(2), 023511 (2010).
[CrossRef]

Behymer, E. M.

J. C. Crowhurst, M. R. Armstrong, K. B. Knight, J. M. Zaug, and E. M. Behymer, “Invariance of the dissipative action at ultrahigh strain rates above the strong shock threshold,” Phys. Rev. Lett.107(14), 144302 (2011).
[CrossRef] [PubMed]

Bolme, C. A.

C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
[CrossRef]

C. A. Bolme, S. D. McGrane, D. S. Moore, and D. J. Funk, “Single shot measurements of laser driven shock waves using ultrafast dynamic ellipsometry,” J. Appl. Phys.102(3), 033513 (2007).
[CrossRef]

Chakera, J. A.

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, and P. D. Gupta, “Chirped pulse interferometry for time resolved density and velocity measurements of laser produced plasmas,” J. Appl. Phys.110(2), 023305 (2011).
[CrossRef]

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

Chambaret, J.-P.

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

Chen, Y.-H.

Chien, C. Y.

Crowhurst, J. C.

J. C. Crowhurst, M. R. Armstrong, K. B. Knight, J. M. Zaug, and E. M. Behymer, “Invariance of the dissipative action at ultrahigh strain rates above the strong shock threshold,” Phys. Rev. Lett.107(14), 144302 (2011).
[CrossRef] [PubMed]

M. R. Armstrong, J. C. Crowhurst, S. Bastea, and J. M. Zaug, “Ultrafast observation of shocked states in a precompressed material,” J. Appl. Phys.108(2), 023511 (2010).
[CrossRef]

Desparois, A.

Funk, D. J.

C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
[CrossRef]

C. A. Bolme, S. D. McGrane, D. S. Moore, and D. J. Funk, “Single shot measurements of laser driven shock waves using ultrafast dynamic ellipsometry,” J. Appl. Phys.102(3), 033513 (2007).
[CrossRef]

Gauthier, J.-C.

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

J.-P. Geindre, P. Audebert, S. Rebibo, and J.-C. Gauthier, “Single-shot spectral interferometry with chirped pulses,” Opt. Lett.26(20), 1612–1614 (2001).
[CrossRef] [PubMed]

Geindre, J.-P.

J.-P. Geindre, P. Audebert, S. Rebibo, and J.-C. Gauthier, “Single-shot spectral interferometry with chirped pulses,” Opt. Lett.26(20), 1612–1614 (2001).
[CrossRef] [PubMed]

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

Glownia, J. H.

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Details of electro-optic terahertz detection with a chirped probe pulse,” Opt. Express15(3), 1376–1383 (2007).
[CrossRef] [PubMed]

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Algorithm for high-resolution single-shot THz measurement using in-line spectral interferometry with chirped pulses,” Appl. Phys. Lett.87(21), 211109 (2005).
[CrossRef]

Grillon, G.

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

Gupta, P. D.

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, and P. D. Gupta, “Chirped pulse interferometry for time resolved density and velocity measurements of laser produced plasmas,” J. Appl. Phys.110(2), 023305 (2011).
[CrossRef]

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

Hamaguchi, H.

Hou, X.

Jiang, Z.

Johnston, T. W.

Kawano, H.

Khan, R. A.

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

Kieffer, J. C.

Kim, K. Y.

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Details of electro-optic terahertz detection with a chirped probe pulse,” Opt. Express15(3), 1376–1383 (2007).
[CrossRef] [PubMed]

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Algorithm for high-resolution single-shot THz measurement using in-line spectral interferometry with chirped pulses,” Appl. Phys. Lett.87(21), 211109 (2005).
[CrossRef]

K. Y. Kim, I. Alexeev, and H. M. Milchberg, “Single-shot supercontinuum spectral interferometry,” Appl. Phys. Lett.81(22), 4124–4126 (2002).
[CrossRef]

K. Y. Kim, I. Alexeev, and H. M. Milchberg, “Single-shot measurement of laser-induced double step ionization of helium,” Opt. Express10(26), 1563–1572 (2002).
[CrossRef] [PubMed]

Knight, K. B.

J. C. Crowhurst, M. R. Armstrong, K. B. Knight, J. M. Zaug, and E. M. Behymer, “Invariance of the dissipative action at ultrahigh strain rates above the strong shock threshold,” Phys. Rev. Lett.107(14), 144302 (2011).
[CrossRef] [PubMed]

Kurz, H.

T. F. Albrecht, K. Seibert, and H. Kurz, “Chirp measurement of large-bandwidth femtosecond optical pulses using two-photon absorption,” Opt. Commun.84(5-6), 223–227 (1991).
[CrossRef]

La Fontaine, B.

Liu, H.

W. J. Tan, H. Liu, J. H. Si, and X. Hou, “Control of the gated spectra with narrow bandwidth from a supercontinuum using ultrafast optical Kerr gate of bismuth glass,” Appl. Phys. Lett.93(5), 051109 (2008).
[CrossRef]

H. Liu, W. J. Tan, J. H. Si, X. Hou, and X. Hou, “Acquisition of gated spectra from a supercontinuum using ultrafast optical Kerr gate of lead phthalocyanine-doped hybrid glasses,” Opt. Express16(17), 13486–13491 (2008).
[CrossRef] [PubMed]

McGrane, S. D.

C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
[CrossRef]

C. A. Bolme, S. D. McGrane, D. S. Moore, and D. J. Funk, “Single shot measurements of laser driven shock waves using ultrafast dynamic ellipsometry,” J. Appl. Phys.102(3), 033513 (2007).
[CrossRef]

Mercure, H. P.

Midorikawa, K.

Milchberg, H. M.

Moore, D. S.

C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
[CrossRef]

C. A. Bolme, S. D. McGrane, D. S. Moore, and D. J. Funk, “Single shot measurements of laser driven shock waves using ultrafast dynamic ellipsometry,” J. Appl. Phys.102(3), 033513 (2007).
[CrossRef]

Nagura, C.

Naik, P. A.

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, and P. D. Gupta, “Chirped pulse interferometry for time resolved density and velocity measurements of laser produced plasmas,” J. Appl. Phys.110(2), 023305 (2011).
[CrossRef]

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

Obara, M.

Pépin, H.

Prasad, Y. B. S. R.

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, and P. D. Gupta, “Chirped pulse interferometry for time resolved density and velocity measurements of laser produced plasmas,” J. Appl. Phys.110(2), 023305 (2011).
[CrossRef]

Y. B. S. R. Prasad, S. Barnwal, P. A. Naik, J. A. Chakera, R. A. Khan, and P. D. Gupta, “Chirped pulse shadowgraphy for single shot time resolved plasma expansion measurements,” Appl. Phys. Lett.96(22), 221503 (2010).
[CrossRef]

Rebibo, S.

J.-P. Geindre, P. Audebert, S. Rebibo, and J.-C. Gauthier, “Single-shot spectral interferometry with chirped pulses,” Opt. Lett.26(20), 1612–1614 (2001).
[CrossRef] [PubMed]

S. Rebibo, J.-P. Geindre, P. Audebert, G. Grillon, J.-P. Chambaret, and J.-C. Gauthier, “Single-shot spectral interferometry of femtosecond laser-produced plasmas,” Laser Part. Beams19(1), 67–73 (2001).
[CrossRef]

Rodriguez, G.

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Details of electro-optic terahertz detection with a chirped probe pulse,” Opt. Express15(3), 1376–1383 (2007).
[CrossRef] [PubMed]

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Algorithm for high-resolution single-shot THz measurement using in-line spectral interferometry with chirped pulses,” Appl. Phys. Lett.87(21), 211109 (2005).
[CrossRef]

Seibert, K.

T. F. Albrecht, K. Seibert, and H. Kurz, “Chirp measurement of large-bandwidth femtosecond optical pulses using two-photon absorption,” Opt. Commun.84(5-6), 223–227 (1991).
[CrossRef]

Si, J. H.

H. Liu, W. J. Tan, J. H. Si, X. Hou, and X. Hou, “Acquisition of gated spectra from a supercontinuum using ultrafast optical Kerr gate of lead phthalocyanine-doped hybrid glasses,” Opt. Express16(17), 13486–13491 (2008).
[CrossRef] [PubMed]

W. J. Tan, H. Liu, J. H. Si, and X. Hou, “Control of the gated spectra with narrow bandwidth from a supercontinuum using ultrafast optical Kerr gate of bismuth glass,” Appl. Phys. Lett.93(5), 051109 (2008).
[CrossRef]

Suda, A.

Tan, W. J.

W. J. Tan, H. Liu, J. H. Si, and X. Hou, “Control of the gated spectra with narrow bandwidth from a supercontinuum using ultrafast optical Kerr gate of bismuth glass,” Appl. Phys. Lett.93(5), 051109 (2008).
[CrossRef]

H. Liu, W. J. Tan, J. H. Si, X. Hou, and X. Hou, “Acquisition of gated spectra from a supercontinuum using ultrafast optical Kerr gate of lead phthalocyanine-doped hybrid glasses,” Opt. Express16(17), 13486–13491 (2008).
[CrossRef] [PubMed]

Taylor, A. J.

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Details of electro-optic terahertz detection with a chirped probe pulse,” Opt. Express15(3), 1376–1383 (2007).
[CrossRef] [PubMed]

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Algorithm for high-resolution single-shot THz measurement using in-line spectral interferometry with chirped pulses,” Appl. Phys. Lett.87(21), 211109 (2005).
[CrossRef]

Varma, S.

Vidal, F.

Whitley, V. H.

C. A. Bolme, S. D. McGrane, D. S. Moore, V. H. Whitley, and D. J. Funk, “Single shot Hugoniot of cyclohexane using a spatially resolved laser driven shock wave,” Appl. Phys. Lett.93(19), 191903 (2008).
[CrossRef]

Yamaguchi, S.

Yellampalle, B.

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Details of electro-optic terahertz detection with a chirped probe pulse,” Opt. Express15(3), 1376–1383 (2007).
[CrossRef] [PubMed]

K. Y. Kim, B. Yellampalle, G. Rodriguez, R. D. Averitt, A. J. Taylor, and J. H. Glownia, “Single-shot, interferometric, high-resolution, terahertz field diagnostic,” Appl. Phys. Lett.88(4), 041123 (2006).
[CrossRef]

B. Yellampalle, K. Y. Kim, G. Rodriguez, J. H. Glownia, and A. J. Taylor, “Algorithm for high-resolution single-shot THz measurement using in-line spectral interferometry with chirped pulses,” Appl. Phys. Lett.87(21), 211109 (2005).
[CrossRef]

Zaug, J. M.

J. C. Crowhurst, M. R. Armstrong, K. B. Knight, J. M. Zaug, and E. M. Behymer, “Invariance of the dissipative action at ultrahigh strain rates above the strong shock threshold,” Phys. Rev. Lett.107(14), 144302 (2011).
[CrossRef] [PubMed]

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[CrossRef]

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[CrossRef]

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[CrossRef] [PubMed]

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Figures (4)

Fig. 1
Fig. 1

The spectral interference fringes between a femtosecond pulse and the corresponding picosecond chirped pulse in the wavelength domain.

Fig. 2
Fig. 2

Experimental setup to measure the chirp characteristics of linearly chirped pulses, BS-beam splitter, M-planar mirror, G-grating.

Fig. 3
Fig. 3

(a) Spectral interferogram at time delays of 7441.2fs, 11781.9fs, 16122.6fs and 20463.3fs. (b) 1D spectral interferogram at the time delay of 7441.2fs.

Fig. 4
Fig. 4

The central position ω s versus time delay T, and the spectrum of the chirped pulse. The inset is a zoom-in to show an error bar.

Equations (6)

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E l ( t )= E 0 exp( a 0 t 2 )exp( i ω 0 t ),
E c ( t )= E c0 exp( a t 2 )exp[ i( ω 0 +bt )t ],
I( ω )= | { E l ( t ) }+{ E c ( tT ) } | 2 = | { E l ( t ) } | 2 + | { E c ( tT ) } | 2 +2| { E l ( t ) } || { E c ( tT ) } |cos( ϕ c ϕ l ), = I 0 ( ω )+ I 1 ( ω )cos( Δϕ )
Δϕ= b ( ω ω 0 ) 2 4( a 2 + b 2 ) ωT+arg( a+ib ) = b 4( a 2 + b 2 ) { ω[ ω 0 2( a 2 + b 2 ) b T ] } 2 b 4( a 2 + b 2 ) { ω 0 2 [ ω 0 2( a 2 + b 2 ) b T ] 2 }+arg( a+ib ).
ω= ω s = ω 0 2( a 2 + b 2 )T /b ω 0 2bT, b 2 a 2
1 λ s = 1 λ 0 2bT 2πc

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