Abstract

We present a simple mathematical model giving a possible description of a partially coherent light beam exhibiting a flat-topped transverse intensity profile. Such a model allows us to deduce the modal distribution inside a multimode stable optical cavity, assuming that the modes are of the Hermite–Gauss type. The analytical expression used to represent flat-topped profiles is of the flattened Gaussian type and leads to an exact, closed-form expression for the <i>M</i><sup>2</sup> factor of the output beam. An analogous procedure could be used to treat the general problem of deducing the modal distribution inside a laser cavity starting from intensity measurements of the output beam.

© 1998 Optical Society of America

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  1. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).
  2. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995).
  3. E. Wolf and G. S. Agarwal, J. Opt. Soc. Am. A 1, 541 (1984).
  4. P. Spano, Opt. Commun. 33, 265 (1980).
  5. E. G. Johnson, Jr., Appl. Opt. 25, 2967 (1986).
  6. J. Turunen, E. Tervonen, and A. T. Friberg, Opt. Lett. 14, 627 (1989).
  7. A. T. Friberg, E. Tervonen, and J. Turunen, J. Opt. Soc. Am. A 11, 1818 (1994).
  8. E. Collett and E. Wolf, Opt. Lett. 2, 27 (1978).
  9. F. Gori, Opt. Commun. 34, 301 (1980).
  10. A. Starikov and E. Wolf, J. Opt. Soc. Am. A 72, 923 (1982).
  11. E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).
  12. A. E. Siegman and S. W. Townsend, IEEE J. Quantum Electron. 29, 1212 (1993).
  13. F. Gori, Opt. Commun. 107, 335 (1994).
  14. V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, M. Santarsiero, D. Ambrosini, and G. Schirripa Spagnolo, J. Opt. Soc. Am. A 13, 1385 (1996).
  15. S.-A. Amarande, Opt. Commun. 129, 311 (1996).
  16. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
  17. A. E. Siegman, in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2 (1990).
  18. F. Gori, in Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984), p. 363.

1996

1995

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

1994

1993

A. E. Siegman and S. W. Townsend, IEEE J. Quantum Electron. 29, 1212 (1993).

1990

A. E. Siegman, in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2 (1990).

1989

J. Turunen, E. Tervonen, and A. T. Friberg, Opt. Lett. 14, 627 (1989).

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).

1986

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).

E. G. Johnson, Jr., Appl. Opt. 25, 2967 (1986).

1984

F. Gori, in Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984), p. 363.

E. Wolf and G. S. Agarwal, J. Opt. Soc. Am. A 1, 541 (1984).

1982

A. Starikov and E. Wolf, J. Opt. Soc. Am. A 72, 923 (1982).

1980

P. Spano, Opt. Commun. 33, 265 (1980).

F. Gori, Opt. Commun. 34, 301 (1980).

1978

1972

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

Abramowitz, M.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

Agarwal, G. S.

Amarande, S.-A.

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

Ambrosini, D.

Bagini, V.

Borghi, R.

Collett, E.

Friberg, A. T.

Gori, F.

V. Bagini, R. Borghi, F. Gori, A. M. Pacileo, M. Santarsiero, D. Ambrosini, and G. Schirripa Spagnolo, J. Opt. Soc. Am. A 13, 1385 (1996).

F. Gori, Opt. Commun. 107, 335 (1994).

F. Gori, in Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984), p. 363.

F. Gori, Opt. Commun. 34, 301 (1980).

Johnson, Jr., E. G.

Mandel, L.

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

Pacileo, A. M.

Santarsiero, M.

Schirripa Spagnolo, G.

Siegman, A. E.

A. E. Siegman and S. W. Townsend, IEEE J. Quantum Electron. 29, 1212 (1993).

A. E. Siegman, in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2 (1990).

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).

Spano, P.

P. Spano, Opt. Commun. 33, 265 (1980).

Starikov, A.

A. Starikov and E. Wolf, J. Opt. Soc. Am. A 72, 923 (1982).

Stegun, I.

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

Tervonen, E.

Townsend, S. W.

A. E. Siegman and S. W. Townsend, IEEE J. Quantum Electron. 29, 1212 (1993).

Turunen, J.

Wolf, E.

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

E. Wolf and G. S. Agarwal, J. Opt. Soc. Am. A 1, 541 (1984).

A. Starikov and E. Wolf, J. Opt. Soc. Am. A 72, 923 (1982).

E. Collett and E. Wolf, Opt. Lett. 2, 27 (1978).

Appl. Opt.

Appl. Phys. B

E. Tervonen, J. Turunen, and A. T. Friberg, Appl. Phys. B 49, 409 (1989).

IEEE J. Quantum Electron.

A. E. Siegman and S. W. Townsend, IEEE J. Quantum Electron. 29, 1212 (1993).

J. Opt. Soc. Am. A

Opt. Commun.

F. Gori, Opt. Commun. 107, 335 (1994).

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

P. Spano, Opt. Commun. 33, 265 (1980).

F. Gori, Opt. Commun. 34, 301 (1980).

Opt. Lett.

Proc. SPIE

A. E. Siegman, in Optical Resonators, D. A. Holmes, ed., Proc. SPIE 1224, 2 (1990).

Other

F. Gori, in Coherence and Quantum Optics, L. Mandel and E. Wolf, eds. (Plenum, New York, 1984), p. 363.

A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).

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

M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).

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