Abstract

A necessary condition for generating optical beams with a nearly uniform profile at a certain transverse plane is proposed. This proposal leads to the introduction of a set of light beams with flat-topped profiles. This set of beams can be expressed as a finite series of lowest-order Gaussian modes TEM00 with different parameters. The main features of this set of beams are investigated and compared with those predicted by existing models of flattened Gaussian beams.

© 2002 Optical Society of America

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References

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    [CrossRef]
  10. S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
    [CrossRef]

2001 (1)

1999 (2)

1997 (2)

S.-A. Amarande, Proc. SPIE 3092, 345 (1997).
[CrossRef]

S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
[CrossRef]

1996 (2)

1994 (1)

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

1992 (1)

A. Parent, M. Morin, and P. Lavigne, Opt. Quantum Electron. 24, 1071 (1992).
[CrossRef]

1988 (1)

S. De Silestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. QE-24, 1172 (1988).
[CrossRef]

Amarande, S.-A.

S.-A. Amarande, Proc. SPIE 3092, 345 (1997).
[CrossRef]

Ambrosini, D.

Bagini, V.

Bollanti, S.

S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
[CrossRef]

Borghi, R.

De Silestri, S.

S. De Silestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. QE-24, 1172 (1988).
[CrossRef]

Di Lazzaro, P.

S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
[CrossRef]

Gori, F.

Laporta, P.

S. De Silestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. QE-24, 1172 (1988).
[CrossRef]

Lavigne, P.

A. Parent, M. Morin, and P. Lavigne, Opt. Quantum Electron. 24, 1071 (1992).
[CrossRef]

Lu, B.

Luo, S.

Magni, V.

S. De Silestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. QE-24, 1172 (1988).
[CrossRef]

Morin, M.

A. Parent, M. Morin, and P. Lavigne, Opt. Quantum Electron. 24, 1071 (1992).
[CrossRef]

Murra, D.

S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
[CrossRef]

Pacileo, M.

Parent, A.

A. Parent, M. Morin, and P. Lavigne, Opt. Quantum Electron. 24, 1071 (1992).
[CrossRef]

Saghafi, S.

C. J. R. Sheppard and S. Saghafi, Opt. Commun. 132, 144 (1996).
[CrossRef]

Santarsiero, M.

Schirripa Spagnolo, G.

Sheppard, C. J. R.

C. J. R. Sheppard and S. Saghafi, Opt. Commun. 132, 144 (1996).
[CrossRef]

Svelto, O.

S. De Silestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. QE-24, 1172 (1988).
[CrossRef]

Torre, A.

S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
[CrossRef]

Zhang, B.

Appl. Opt. (1)

IEEE J. Quantum Electron. (1)

S. De Silestri, P. Laporta, V. Magni, and O. Svelto, IEEE J. Quantum Electron. QE-24, 1172 (1988).
[CrossRef]

J. Opt. Soc. Am. A (3)

Opt. Commun. (3)

C. J. R. Sheppard and S. Saghafi, Opt. Commun. 132, 144 (1996).
[CrossRef]

S. Bollanti, P. Di Lazzaro, D. Murra, and A. Torre, Opt. Commun. 138, 35 (1997).
[CrossRef]

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

Opt. Quantum Electron. (1)

A. Parent, M. Morin, and P. Lavigne, Opt. Quantum Electron. 24, 1071 (1992).
[CrossRef]

Proc. SPIE (1)

S.-A. Amarande, Proc. SPIE 3092, 345 (1997).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Flat-topped profiles Fr as a function of r for the values of M given on each curve.

Fig. 2
Fig. 2

Comparison between flat-topped profiles: FG profile (solid curve), assuming that N=50, and the profile M×Fr (dotted curve) described by Eq. (8), assuming that M=1000.

Fig. 3
Fig. 3

Normalized flat-topped profiles M×Fr as a function of r for the value of M given on each curve.

Fig. 4
Fig. 4

SL distributions, SLr, as a function of r for the value of M given on each curve.

Equations (10)

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

SGr=exp-rγ,
FGr=exp-r2n=0Nr2nn!,
dmFdrmr=0=0,  m=1,2,3,,
d2Fdr2r=0=0,  d4Fdr4r=0=0,.
Fr=m=1Mαm exp-mr2,  M=1,2,3,
m=1Mmpαm=0,  p=1,2,,M.
αm=-1m-1MMm.
Fr=1M1-1-exp-r2M.
Frexp-r2,  when  r1.
SLr=11+rM,

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