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]

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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