Abstract

We proposed a simple and straightforward technique, wavelet-transform analysis, for group delay extraction from the white light spectral interferograms. In this paper, we demonstrated that the extracted group delay dispersion by wavelet-transform was insensitive to the path length balancing of the interferometer. This promises a flexible and robust technique for chirped mirror characterization.

© 2009 Optical Society of America

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References

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  1. K. Naganuma, K. Mogi, and H. Yamada, "Group-delay measurement using the Fourier transform of an interferometric cross correlation generated by white light," Opt. Lett. 15, 393-395 (1990).
    [CrossRef] [PubMed]
  2. P. Hlubina, "White-light spectral interferometry with the uncompensated Michelson interferometer and the group refractive index dispersion in fused silica," Opt. Commun. 193, 1-7 (2001).
    [CrossRef]
  3. J. Y. Lee, and D. Y. Kim, "Versatile chromatic dispersion measurement of a single mode fiber using spectral white light interferometry," Opt. Express 14, 11608-11615 (2006).
    [CrossRef] [PubMed]
  4. Y. Deng, W. Yang, C. Zhou, X. Wang, J. Tao, W. Kong, and Z. Zhang, "Direct measurement of group delay with joint time-frequency analysis of white light spectral interferogram," Opt. Lett. 33, 2855-2857 (2008).
    [CrossRef] [PubMed]
  5. D. Reolon, M. Jacquot, I. Verrier, G. Brun, and C. Veillas, "High resolution group refractive index measurement by broadband supercontinuum interferometry and wavelet-transform analysis," Opt. Express 14, 12744-12750 (2006).
    [CrossRef] [PubMed]
  6. Y. Deng, Z. Wu, L. Chai, C. Wang, K. Yamane, R. Morita, M. Yamashita, and Z. Zhang, "Wavelet-transform analysis of spectral shearing interferometry for phase reconstruction of femtosecond optical pulses," Opt. Express 13, 2120-2126 (2005).
    [CrossRef] [PubMed]
  7. Y. Deng, C. Wang, L. Chai, and Z. Zhang, "Determination of Gabor wavelet shaping factor for accurate phase retrieval with wavelet-transform," Appl. Phys. B 81, 1107-1111 (2005).
    [CrossRef]

2008 (1)

2006 (2)

2005 (2)

2001 (1)

P. Hlubina, "White-light spectral interferometry with the uncompensated Michelson interferometer and the group refractive index dispersion in fused silica," Opt. Commun. 193, 1-7 (2001).
[CrossRef]

1990 (1)

Brun, G.

Chai, L.

Deng, Y.

Hlubina, P.

P. Hlubina, "White-light spectral interferometry with the uncompensated Michelson interferometer and the group refractive index dispersion in fused silica," Opt. Commun. 193, 1-7 (2001).
[CrossRef]

Jacquot, M.

Kim, D. Y.

Kong, W.

Lee, J. Y.

Mogi, K.

Morita, R.

Naganuma, K.

Reolon, D.

Tao, J.

Veillas, C.

Verrier, I.

Wang, C.

Wang, X.

Wu, Z.

Yamada, H.

Yamane, K.

Yamashita, M.

Yang, W.

Zhang, Z.

Zhou, C.

Appl. Phys. B (1)

Y. Deng, C. Wang, L. Chai, and Z. Zhang, "Determination of Gabor wavelet shaping factor for accurate phase retrieval with wavelet-transform," Appl. Phys. B 81, 1107-1111 (2005).
[CrossRef]

Opt. Commun. (1)

P. Hlubina, "White-light spectral interferometry with the uncompensated Michelson interferometer and the group refractive index dispersion in fused silica," Opt. Commun. 193, 1-7 (2001).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

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Figures (6)

Fig. 1.
Fig. 1.

White light spectral interferograms of the chirped mirror for different matched wavelengths.

Fig. 2.
Fig. 2.

Extracted GDs of the spectral interferograms from the derivative of phases with Fourier-transform. GD: group delay.

Fig. 3.
Fig. 3.

Extracted GDDs from the double differentiations of phases extracted from a Fourier-transform technique. GDD: group delay dispersion.

Fig. 4.
Fig. 4.

Wavelet transforms of the white light spectral interferograms.

Fig. 5.
Fig. 5.

Extracted GDs from the ridges of wavelet-transform for the spectral interferograms.

Fig. 6.
Fig. 6.

Extracted GDDs from the ridges of wavelet-transform for the spectral interferograms.

Equations (3)

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φ ( ω ) = t ( ω ) ,
GD = d φ ( ω ) d ω = t ( ω ) ·
W ( t , ω ) = t 2 π + f ( ω ) ψ * [ ( ω ω ) . t 2 π ] d ω ,

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