Abstract

The measurement of the coherence characteristics of the speckles generated by an optically smoothed laser source is investigated. We present a new method that can be used for every kind of smoothing technique. A modified Mach–Zehnder interferometer allows us to measure both the lifetime and the spatial transverse size of the hot spots generated by a broadband and transverse multimode source. Experimental results agree well with theoretical predictions.

© 2004 Optical Society of America

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References

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  1. A. Bettinger and M. Decroisette, Fusion Eng. Des. 46, 457 (1999).
    [CrossRef]
  2. J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
    [CrossRef]
  3. C. Weilnau and C. Denz, J. Opt. A Pure Appl. Opt. 5, S529 (2003).
    [CrossRef]
  4. J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
    [CrossRef]
  5. J. Garnier and L. Videau, Phys. Plasmas 6, 4914 (2001).
    [CrossRef]
  6. A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
    [CrossRef]

2003 (1)

C. Weilnau and C. Denz, J. Opt. A Pure Appl. Opt. 5, S529 (2003).
[CrossRef]

2002 (1)

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

2001 (1)

J. Garnier and L. Videau, Phys. Plasmas 6, 4914 (2001).
[CrossRef]

1999 (2)

A. Bettinger and M. Decroisette, Fusion Eng. Des. 46, 457 (1999).
[CrossRef]

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

1997 (1)

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Baldis, H. A.

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Bandulet, H.

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Bettinger, A.

A. Bettinger and M. Decroisette, Fusion Eng. Des. 46, 457 (1999).
[CrossRef]

Bourgoin, G.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Boyes, J. D.

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

Decroisette, M.

A. Bettinger and M. Decroisette, Fusion Eng. Des. 46, 457 (1999).
[CrossRef]

Denz, C.

C. Weilnau and C. Denz, J. Opt. A Pure Appl. Opt. 5, S529 (2003).
[CrossRef]

Depierreux, S.

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Estraillier, Ph.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Fuchs, J.

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Garnier, J.

J. Garnier and L. Videau, Phys. Plasmas 6, 4914 (2001).
[CrossRef]

Jolly, A.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Labaune, C.

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Le-Campion, C.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Lowdermilk, W. H.

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

Luce, J.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Michel, P.

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Paisner, J. A.

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

Pasquet, Ph.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Rouyer, C.

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

Sorem, M. S.

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

Soures, J. M.

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

Videau, L.

J. Garnier and L. Videau, Phys. Plasmas 6, 4914 (2001).
[CrossRef]

Weilnau, C.

C. Weilnau and C. Denz, J. Opt. A Pure Appl. Opt. 5, S529 (2003).
[CrossRef]

Fusion Eng. Des. (2)

A. Bettinger and M. Decroisette, Fusion Eng. Des. 46, 457 (1999).
[CrossRef]

J. A. Paisner, W. H. Lowdermilk, J. D. Boyes, M. S. Sorem, and J. M. Soures, Fusion Eng. Des. 44, 23 (1999).
[CrossRef]

J. Opt. A Pure Appl. Opt. (1)

C. Weilnau and C. Denz, J. Opt. A Pure Appl. Opt. 5, S529 (2003).
[CrossRef]

Phys. Plasmas (1)

J. Garnier and L. Videau, Phys. Plasmas 6, 4914 (2001).
[CrossRef]

Phys. Rev. Lett. (1)

J. Fuchs, C. Labaune, H. Bandulet, P. Michel, S. Depierreux, and H. A. Baldis, Phys. Rev. Lett. 88, 195003 (2002).
[CrossRef]

Proc. SPIE (1)

A. Jolly, J. Luce, Ph. Pasquet, C. Le-Campion, G. Bourgoin, C. Rouyer, and Ph. Estraillier, Proc. SPIE 3047, 158 (1997).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Experimental setup: SM, spherical mirror; d, diaphragm; RA, rod amplifier; L–L3, lenses; P, polarizer; PC, Pockels cell; OC, output coupler; BS2, beam splitter; CP, compensation plate; GPs, Glan prisms; MM4, mirrors; λ/2, half-wave plate; λ/4 quarter-wave plate.

Fig. 2
Fig. 2

(a) Beam profile with the central fringe obtained at the fundamental frequency with a circular diaphragm. (b) Cross section of the beam along the x axis. Inset, cross section without the central fringe at τ=2 ps. (c) Autocorrelation function of the beam profile obtained at the fundamental frequency (crosses, experimental results; dotted curve, Bessel fit) and at the second-harmonic frequency (circles, experimental results; solid curve, Bessel cardinal fit). (d) Evolution of the FWFZ of the fringe along the y axis.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

γx,y,-x,y,τ=Ex,y,tE*-x,y,t+τ,
Γωx,y,τ=Fωx,y,τ-Iωx,y,t=Rγx,y,-x,y,τ,
Γ2ωx,y,τ=F2ωx,y,τ-Iωx,y,t2=γx,y,-x,y,τ2.
Γω=Fωx,0,0-Fωx,0,ττlifeFωx,0,ττlife.

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