Abstract

An efficient optical system is proposed to generate a partially coherent flat-topped (FT) beam theoretically. Furthermore, we report the experimental generation of a partially coherent FT beam based on the proposed optical system. The intensity distribution and the modulus of the square of the spectral degree of coherence of the generated partially coherent FT beam are measured. The experimental results are consistent with the theoretical results.

© 2008 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2008 (3)

Y. Cai, X. Lu, H. T. Eyyuboğlu, and Y. Baykal, Opt. Commun. 281, 3221 (2008).
[CrossRef]

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

F. Wang, Y. Cai, and Q. Lin, J. Opt. Soc. Am. A 25, 2001 (2008).
[CrossRef]

2007 (2)

2006 (8)

Y. Baykal and H. T. Eyyuboğlu, Appl. Opt. 45, 3793 (2006).
[CrossRef] [PubMed]

Y. Cai, J. Opt. A 8, 537 (2006).
[CrossRef]

G. Wu, H. Guo, and D. Deng, Opt. Commun. 260, 687 (2006).
[CrossRef]

Y. Cai and S. He, J. Opt. Soc. Am. A 23, 2623 (2006).
[CrossRef]

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

H. T. Eyyuboğlu, A. Arpali, and Y. Baykal, Opt. Express 14, 4196 (2006).
[CrossRef] [PubMed]

Y. Zhang, B. Zhang, and Q. Wen, Opt. Commun. 266, 407 (2006).
[CrossRef]

Y. Cai and L. Hu, Opt. Lett. 31, 685 (2006).
[CrossRef] [PubMed]

2004 (1)

Y. Cai and Q. Lin, J. Opt. A 6, 390 (2004).
[CrossRef]

2003 (1)

Y. Cai and Q. Lin, J. Opt. A 5, 272 (2003).
[CrossRef]

2002 (3)

2001 (1)

2000 (1)

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

1998 (1)

1996 (1)

S. A. Amarande, Opt. Commun. 129, 311 (1996).

1994 (1)

F. Gori, Opt. Commun. 107, 335 (1994).
[CrossRef]

1992 (1)

1988 (1)

J. J. Wen and M. A. Breazeale, J. Acoust. Soc. Am. 83, 1752 (1988).
[CrossRef]

Alavinejad, M.

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

Amarande, S. A.

S. A. Amarande, Opt. Commun. 129, 311 (1996).

Arpali, A.

Baykal, Y.

Borghi, R.

Bowers, M. S.

Breazeale, M. A.

J. J. Wen and M. A. Breazeale, J. Acoust. Soc. Am. 83, 1752 (1988).
[CrossRef]

Cai, Y.

Chen, Z.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Deng, D.

G. Wu, H. Guo, and D. Deng, Opt. Commun. 260, 687 (2006).
[CrossRef]

Eyyuboglu, H. T.

Ghafary, B.

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

Gori, F.

F. Gori, Opt. Commun. 107, 335 (1994).
[CrossRef]

Gu, Y.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Guo, H.

G. Wu, H. Guo, and D. Deng, Opt. Commun. 260, 687 (2006).
[CrossRef]

He, S.

Ho, Y. K.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Hu, L.

Jitsuno, T.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Kong, Q.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Li, Y.

Lin, Q.

Lu, X.

Y. Cai, X. Lu, H. T. Eyyuboğlu, and Y. Baykal, Opt. Commun. 281, 3221 (2008).
[CrossRef]

Mandel, L.

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

Matsuoka, S.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Miyanaga, N.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Nakatsuka, M.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Nishi, N.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Santarsiero, M.

Tovar, A. A.

Tsubakimoto, K.

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Wang, F.

Wang, L.

L. Wang, J. Xue, Jpn. J. Appl. Phys. Part 1 41, 7373 (2002).
[CrossRef]

Wang, P. X.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Wang, S. J.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Wang, W.

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

Wen, J. J.

J. J. Wen and M. A. Breazeale, J. Acoust. Soc. Am. 83, 1752 (1988).
[CrossRef]

Wen, Q.

Y. Zhang, B. Zhang, and Q. Wen, Opt. Commun. 266, 407 (2006).
[CrossRef]

Wolf, E.

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

Wu, G.

G. Wu, H. Guo, and D. Deng, Opt. Commun. 260, 687 (2006).
[CrossRef]

Xue, J.

L. Wang, J. Xue, Jpn. J. Appl. Phys. Part 1 41, 7373 (2002).
[CrossRef]

Zhang, B.

Y. Zhang, B. Zhang, and Q. Wen, Opt. Commun. 266, 407 (2006).
[CrossRef]

Zhang, Y.

Y. Zhang, B. Zhang, and Q. Wen, Opt. Commun. 266, 407 (2006).
[CrossRef]

Appl. Opt. (2)

Europhys. Lett. (1)

W. Wang, P. X. Wang, Y. K. Ho, Q. Kong, Z. Chen, Y. Gu, and S. J. Wang, Europhys. Lett. 73, 211 (2006).
[CrossRef]

J. Acoust. Soc. Am. (1)

J. J. Wen and M. A. Breazeale, J. Acoust. Soc. Am. 83, 1752 (1988).
[CrossRef]

J. Opt. A (3)

Y. Cai, J. Opt. A 8, 537 (2006).
[CrossRef]

Y. Cai and Q. Lin, J. Opt. A 5, 272 (2003).
[CrossRef]

Y. Cai and Q. Lin, J. Opt. A 6, 390 (2004).
[CrossRef]

J. Opt. Soc. Am. A (4)

Jpn. J. Appl. Phys. Part 1 (1)

L. Wang, J. Xue, Jpn. J. Appl. Phys. Part 1 41, 7373 (2002).
[CrossRef]

Opt. Commun. (5)

S. A. Amarande, Opt. Commun. 129, 311 (1996).

F. Gori, Opt. Commun. 107, 335 (1994).
[CrossRef]

Y. Zhang, B. Zhang, and Q. Wen, Opt. Commun. 266, 407 (2006).
[CrossRef]

Y. Cai, X. Lu, H. T. Eyyuboğlu, and Y. Baykal, Opt. Commun. 281, 3221 (2008).
[CrossRef]

G. Wu, H. Guo, and D. Deng, Opt. Commun. 260, 687 (2006).
[CrossRef]

Opt. Express (1)

Opt. Lasers Eng. (1)

M. Alavinejad and B. Ghafary, Opt. Lasers Eng. 46, 357 (2008).
[CrossRef]

Opt. Lett. (5)

Opt. Rev. (1)

N. Nishi, T. Jitsuno, K. Tsubakimoto, S. Matsuoka, N. Miyanaga, and M. Nakatsuka, Opt. Rev. 7, 216 (2000).
[CrossRef]

Other (1)

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

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Figures (3)

Fig. 1
Fig. 1

Optical system for generating a partially coherent FT beam.

Fig. 2
Fig. 2

Experimental results of the intensity distribution and corresponding normalized intensity distribution (curve marked with squares) at cross line v = 0 of the output beam for four different values of the coherence width σ g 0 of the generated GSM beam in the source plane: (a) σ g 0 = 0.48 mm , (b) σ g 0 = 0.28 mm , (c) σ g 0 = 0.15 mm , (d) σ g 0 = 0.10 mm .

Fig. 3
Fig. 3

Experimental results (curves marked with squares) of the modulus of the square of the spectral degree of coherence of the output beam for four different values of the coherence width σ g 0 of the generated GSM beam in the source plane: (a) σ g 0 = 0.48 mm , (b) σ g 0 = 0.28 mm , (c) σ g 0 = 0.15 mm , (d) σ g 0 = 0.10 mm .

Equations (8)

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Γ s ( r ̃ ) = exp ( i k 2 r ̃ T M s 1 r ̃ ) ,
M s 1 = ( ( i 2 k σ I 0 2 i k σ g 0 2 ) I i k σ g 0 2 I i k σ g 0 2 I ( i 2 k σ I 0 2 i k σ g 0 2 ) I ) .
Γ a ( ρ ̃ ) = [ det ( I ¯ + B ¯ 1 M s 1 ) ] 1 2 exp [ i k 2 ρ ̃ T ( B ¯ 1 + M s ) 1 ρ ̃ ] ,
B ¯ 1 = ( l 1 I 0 0 l 1 I ) .
Γ o ( u ̃ ) = m = 1 M n = 1 M A m A n * [ det ( A ¯ 2 + B ¯ 2 ( B ¯ 1 + M s ) 1 + B ¯ 2 B m n ) ] 1 2 [ det ( I ¯ + B ¯ 1 M s 1 ) ] 1 2 exp { i k 2 u ̃ T [ C ¯ 2 + D ¯ 2 ( B ¯ 1 + M s ) 1 + B m n ] [ A ¯ 2 + B ¯ 2 ( B ¯ 1 + M s ) 1 + B ¯ 2 B m n ] 1 u ̃ } ,
A ¯ 2 = ( 1 l 2 f ) I ¯ , B ¯ 2 = ( l 2 I 0 0 l 2 I ) , C ¯ 2 = ( ( 1 f ) I 0 0 ( 1 f ) I ) , D ¯ 2 = I ¯ ,
B m n = 2 i k a 2 ( B m I 0 0 B n * I ) .
g ( u 1 u 2 ) = Γ o ( u 1 , u 2 ) Γ o ( u 1 , u 1 ) Γ o ( u 2 , u 2 ) ,

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