Abstract

We present a curve fitting method for measuring the spectral distribution of femtosecond laser pulses with Young’s double-pair interference. The method is applicable to cancel the influence of the mutual coherent portion in the spectrum measurement.

©2005 Optical Society of America

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References

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  1. M. Born and E. Wolf, Principles of Optics, (Cambridge University Press, 1999).
  2. R. Netz and T. Feurer, “Diffraction of ultrashort laser pulses and applications for measuring pulse front distortion and pulse width,” Appl. Phys. B 70, 813 (2000).
    [Crossref]
  3. R. A. Bartels, A. Paul, M. M. Murnane, H. C. Kapteyn, S. Backus, Y. Liu, and D. T. Attwood, “Absolute determination of the wavelength and spectrum of an extreme-ultraviolet beam by a Young’s double-slit measurement,” Opt. Lett. 27, 707 (2002).
    [Crossref]

2002 (1)

2000 (1)

R. Netz and T. Feurer, “Diffraction of ultrashort laser pulses and applications for measuring pulse front distortion and pulse width,” Appl. Phys. B 70, 813 (2000).
[Crossref]

Attwood, D. T.

Backus, S.

Bartels, R. A.

Born, M.

M. Born and E. Wolf, Principles of Optics, (Cambridge University Press, 1999).

Feurer, T.

R. Netz and T. Feurer, “Diffraction of ultrashort laser pulses and applications for measuring pulse front distortion and pulse width,” Appl. Phys. B 70, 813 (2000).
[Crossref]

Kapteyn, H. C.

Liu, Y.

Murnane, M. M.

Netz, R.

R. Netz and T. Feurer, “Diffraction of ultrashort laser pulses and applications for measuring pulse front distortion and pulse width,” Appl. Phys. B 70, 813 (2000).
[Crossref]

Paul, A.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, (Cambridge University Press, 1999).

Appl. Phys. B (1)

R. Netz and T. Feurer, “Diffraction of ultrashort laser pulses and applications for measuring pulse front distortion and pulse width,” Appl. Phys. B 70, 813 (2000).
[Crossref]

Opt. Lett. (1)

Other (1)

M. Born and E. Wolf, Principles of Optics, (Cambridge University Press, 1999).

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Figures (4)

Fig. 1.
Fig. 1.

Experimental setup for the measurement of a pure spectral profile.

Fig. 2.
Fig. 2.

Measured experimental data.

Fig. 3.
Fig. 3.

Curve-fitting results for (i) |U 1|2+|U 2|2, (ii) |U 1|2, and (iii) |U 2|2.

Fig. 4.
Fig. 4.

(a) Fourier transform of the experimental result by canceling the mutual coherence portion. (b) Extracted spectral profile of the incident laser beam shown in Fig. 4(a).

Equations (7)

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I CCD = E out ( t ) 2 dt ,
I CCD = 1 2 π E out ( ω ) 2 = 1 2 π E in ( ω ) 2 U ( ω ) 2 ,
U ( ω ) 2 = U 1 ( ω ) 2 + U 1 ( ω ) 2 + 2 U 1 ( ω ) U 2 ( ω ) cos ( xd cz ω ) ,
I CCD = [ U 1 ( ω 0 ) 2 + U 2 ( ω 0 ) 2 ] E in ( ω ) 2 + 2 U 1 ( ω 0 ) E in ( ω ) 2 cos ( xd cz ω ) .
I s = I CCD U 1 ( ω 0 ) 2 + U 2 ( ω 0 ) 2 E in ( ω ) 2 U 1 ( ω 0 ) U 2 ( ω 0 ) = 2 E in ( ω ) 2 cos ( ωd cz x ) .
F [ I s ] = E in ( f x + d λ 0 z ) 2 + E in ( f x d λ 0 z ) 2 ,
U j ( ω 0 ) 2 = I j 0 [ 2 J 1 ( a ( x α j d 2 ) ωβ 2 cz ) ( a ( x α j d 2 ) ωβ 2 cz ) ] 2 + α 2 ,

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