Abstract

It is shown that partially spectrally coherent pulses of light with controlled spectral coherence properties can be generated by temporal modulation of beams emitted by stationary light sources. A method for generation of spectrally Gaussian Schell-model-type pulses is presented.

© 2003 Optical Society of America

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References

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  1. P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
    [Crossref]
  2. A. C. Schell, “A technique for the determination of the radiation pattern of a partially coherent aperture,” IEEE Trans. Antennas Propag. AP-15, 187–188 (1967).
    [Crossref]
  3. J. T. Foley and M. S. Zubairy, “The directionality of Gaussian Schell-model beams,” Opt. Commun. 26, 297–300 (1976).
    [Crossref]
  4. E. Wolf and E. Collett, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).
    [Crossref]
  5. F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).
    [Crossref]
  6. A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).
    [Crossref]
  7. J. Deschamps, D. Courjon, and J. Bulabois, “Gaussian Schell-model sources: an example and some perspectives,” J. Opt. Soc. Am. 73, 256–261 (1983).
    [Crossref]
  8. A. T. Friberg and J. Turunen, “Imaging of Gaussian Schell-model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).
    [Crossref]
  9. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), p. 59.
  10. J. D. Farina, L. M. Narducci, and E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980).
    [Crossref]
  11. Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model sources,” Opt. Commun. 67, 245–250 (1988).
    [Crossref]

2002 (1)

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

1988 (2)

A. T. Friberg and J. Turunen, “Imaging of Gaussian Schell-model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).
[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model sources,” Opt. Commun. 67, 245–250 (1988).
[Crossref]

1983 (1)

1982 (1)

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).
[Crossref]

1980 (3)

J. D. Farina, L. M. Narducci, and E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980).
[Crossref]

E. Wolf and E. Collett, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).
[Crossref]

F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).
[Crossref]

1976 (1)

J. T. Foley and M. S. Zubairy, “The directionality of Gaussian Schell-model beams,” Opt. Commun. 26, 297–300 (1976).
[Crossref]

1967 (1)

A. C. Schell, “A technique for the determination of the radiation pattern of a partially coherent aperture,” IEEE Trans. Antennas Propag. AP-15, 187–188 (1967).
[Crossref]

Bulabois, J.

Collett, E.

E. Wolf and E. Collett, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).
[Crossref]

J. D. Farina, L. M. Narducci, and E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980).
[Crossref]

Courjon, D.

Deschamps, J.

Farina, J. D.

J. D. Farina, L. M. Narducci, and E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980).
[Crossref]

Foley, J. T.

J. T. Foley and M. S. Zubairy, “The directionality of Gaussian Schell-model beams,” Opt. Commun. 26, 297–300 (1976).
[Crossref]

Friberg, A. T.

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

A. T. Friberg and J. Turunen, “Imaging of Gaussian Schell-model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).
[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model sources,” Opt. Commun. 67, 245–250 (1988).
[Crossref]

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).
[Crossref]

Gori, F.

F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).
[Crossref]

He, Q.

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model sources,” Opt. Commun. 67, 245–250 (1988).
[Crossref]

Mandel, L.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), p. 59.

Narducci, L. M.

J. D. Farina, L. M. Narducci, and E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980).
[Crossref]

Pääkkönen, P.

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

Schell, A. C.

A. C. Schell, “A technique for the determination of the radiation pattern of a partially coherent aperture,” IEEE Trans. Antennas Propag. AP-15, 187–188 (1967).
[Crossref]

Sudol, R. J.

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).
[Crossref]

Turunen, J.

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

A. T. Friberg and J. Turunen, “Imaging of Gaussian Schell-model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).
[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model sources,” Opt. Commun. 67, 245–250 (1988).
[Crossref]

Vahimaa, P.

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

Wolf, E.

E. Wolf and E. Collett, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).
[Crossref]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), p. 59.

Wyrowski, F.

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

Zubairy, M. S.

J. T. Foley and M. S. Zubairy, “The directionality of Gaussian Schell-model beams,” Opt. Commun. 26, 297–300 (1976).
[Crossref]

IEEE Trans. Antennas Propag. (1)

A. C. Schell, “A technique for the determination of the radiation pattern of a partially coherent aperture,” IEEE Trans. Antennas Propag. AP-15, 187–188 (1967).
[Crossref]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (1)

Opt. Commun. (7)

J. D. Farina, L. M. Narducci, and E. Collett, “Generation of highly directional beams from a globally incoherent source,” Opt. Commun. 32, 203–207 (1980).
[Crossref]

Q. He, J. Turunen, and A. T. Friberg, “Propagation and imaging experiments with Gaussian Schell-model sources,” Opt. Commun. 67, 245–250 (1988).
[Crossref]

J. T. Foley and M. S. Zubairy, “The directionality of Gaussian Schell-model beams,” Opt. Commun. 26, 297–300 (1976).
[Crossref]

E. Wolf and E. Collett, “Beams generated by Gaussian quasi-homogeneous sources,” Opt. Commun. 32, 27–31 (1980).
[Crossref]

F. Gori, “Collett-Wolf sources and multimode lasers,” Opt. Commun. 34, 301–305 (1980).
[Crossref]

A. T. Friberg and R. J. Sudol, “Propagation parameters of Gaussian Schell-model beams,” Opt. Commun. 41, 383–387 (1982).
[Crossref]

P. Pääkkönen, J. Turunen, P. Vahimaa, A. T. Friberg, and F. Wyrowski, “Partially coherent Gaussian pulses,” Opt. Commun. 204, 53–58 (2002).
[Crossref]

Other (1)

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995), p. 59.

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Figures (1)

Fig. 1.
Fig. 1.

(a) Pulse generation by chopping the collimated beam emitted by a stationary light source with a modulator. (b) Generation of partially coherent fields in the spatial frequency domain by spatial modulation of a field originating from an incoherent source.

Equations (22)

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Γ s ( τ ) = S s ( ω ) exp ( i ω τ ) d ω ,
γ s ( τ ) = Γ s ( τ ) Γ s ( 0 ) ,
Γ ( 0 , 0 ; t 1 , t 2 ) = Γ s ( 0 ) M * ( t 1 ) M ( t 2 ) γ s ( t 2 t 1 )
Γ ( z 1 , z 2 ; t 1 , t 2 ) = Γ s ( 0 ) M * ( t 1 z 1 c ) M ( t 2 z 2 c ) γ s ( t 2 t 1 ( z 2 z 1 ) c ) .
I ( z , t ) = Γ ( z , z ; t , t ) = Γ s ( 0 ) M ( t z c ) 2
γ ( z 1 , z 2 ; t 1 , t 2 ) = Γ ( z 1 , z 2 ; t 1 , t 2 ) [ I ( z 1 , t 1 ) I ( z 2 , t 2 ) ] 1 2
= γ s ( t 2 t 1 ( z 2 z 1 ) c ) exp [ iΔΦ ( z 1 , z 2 ; t 1 , t 2 ) ] ,
W ( z 1 , z 2 ; ω 1 , ω 2 ) = 1 ( 2 π ) 2 Γ ( z 1 , z 2 ; t 1 , t 2 ) exp [ i ( ω 1 t 1 ω 2 t 2 ) ] d t 1 d t 2 .
S ( z , ω ) = W ( z , z ; ω , ω )
μ ( z 1 , z 2 ; ω 1 , ω 2 ) = W ( z 1 , z 2 ; ω 1 , ω 2 ) [ S ( z 1 , ω 1 ) S ( z 2 , ω 2 ) ] 1 2 ,
S s ( ω ) = S 0 exp [ ( ω ω 0 ) 2 Ω s 2 ]
M ( t ) = exp ( t 2 2 T m 2 ) ,
Γ s ( τ ) = Γ 0 exp ( 1 4 Ω s 2 τ 2 ) exp ( i ω 0 τ ) ,
I ( z , t ) = Γ 0 exp [ ( t z c ) 2 T 2 ]
γ ( z 1 , z 2 ; t 1 , t 2 ) = exp { [ ( t 1 z 1 c ) ( t 2 z 2 c ) ] 2 2 T c 2 } ,
arg γ ( z 1 , z 2 , t 1 , t 2 ) = ω 0 [ ( t 1 z 1 c ) ( t 2 z 2 c ) ] ,
T = T m and T c = 2 Ω s .
S ( z , ω ) = exp [ ( ω ω 0 ) 2 Ω 2 ]
μ ( z 1 , z 2 ; ω 1 , ω 2 ) = exp [ ( ω 1 ω 2 ) 2 2 Ω c 2 ] ,
arg μ ( z 1 , z 2 ; ω 1 , ω 2 ) = ( ω 2 z 2 ω 1 z 1 ) c .
Ω 2 = 1 T 2 + 2 T c 2 = Ω s 2 + 1 T m 2
Ω c 2 = T c T 2 Ω 2 = 2 T m 2 ( 1 + 1 T m 2 Ω s 2 )

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