Abstract

The temporal evolution of the beam-quality factor M2 is investigated in plane-parallel cavities of different Fresnel numbers with a Gaussian reflectivity mirror and applied to a Xe–Cl excimer laser. The Fresnel number is changed by varying resonator length. Laser radiation of higher spatial coherence is provided by the cavity of greater length (2.5 m) and then of lower Fresnel number after the first transit. Indeed, the beam spatial coherence decreases with cavity length. It is also shown that the Gaussian mirror affects the properties of the oscillating laser radiation only at the very first cavity round trips. The near- and far-field spatial characteristics of the laser radiation do not vary after a few transits inside the cavity. Experimental results are supported by a theory formerly developed for the evolution of the parameters of Gaussian Schell-model beams propagating in Gaussian cavities.

© 1998 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  3. H. Fang, M. R. Perrone, “Numerical simulation of excimer lasers with unstable resonators,” IEEE J. Quantum Electron. 30, 2369–2375 (1994).
    [CrossRef]
  4. M. R. Perrone, C. Calı́, C. Pace, “Performance of a Xe–Cl laser with super-Gaussian reflectivity unstable resonators,” Opt. Commun. 92, 93–98 (1992).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  7. D. M. Walsh, L. V. Knight, “Transverse modes of a laser resonator with Gaussian mirrors,” Appl. Opt. 25, 2947–2954 (1996).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  15. J. Turunen, A. T. Friberg, “Matrix representation of Gaussian Schell-model beams in optical system,” Opt. Laser Technol. 18, 259–267 (1986).
    [CrossRef]
  16. A. T. Friberg, J. Turunen, “Imaging of Gaussian Schell-model sources,” J. Opt. Soc. Am. A 5, 713–720 (1988).
    [CrossRef]
  17. A. E. Siegman, “Output beam propagation and beam quality from a multimode stable cavity laser,” IEEE J. Quantum Electron. 29, 1212–1217 (1993).
    [CrossRef]

1997 (3)

1996 (1)

1995 (1)

1994 (3)

J. J. Chang, “Time resolved beam-quality characterization of copper-vapor lasers with unstable resonators,” Appl. Opt. 33, 2255–2265 (1994).
[CrossRef] [PubMed]

H. Fang, M. R. Perrone, “Numerical simulation of excimer lasers with unstable resonators,” IEEE J. Quantum Electron. 30, 2369–2375 (1994).
[CrossRef]

G. Cincotti, P. De Santis, G. Guattari, C. Palma, “Propagation of partially coherent beams in a periodic sequence of lenses and Gaussian apertures,” Pure Appl. Opt. 3, 561–571 (1994).
[CrossRef]

1993 (1)

A. E. Siegman, “Output beam propagation and beam quality from a multimode stable cavity laser,” IEEE J. Quantum Electron. 29, 1212–1217 (1993).
[CrossRef]

1992 (3)

N. Reng, B. Eppich, “Definition and measurements of high-power laser beam parameters,” Opt. Quantum Electron. 24, S973–S992 (1992).
[CrossRef]

M. R. Perrone, C. Calı́, C. Pace, “Performance of a Xe–Cl laser with super-Gaussian reflectivity unstable resonators,” Opt. Commun. 92, 93–98 (1992).
[CrossRef]

C. G. Askins, T. E. Tsai, G. M. Williams, M. A. Putnam, M. Bashkansky, E. J. Friebele, “Fiber Bragg reflectors prepared by a single excimer pulse,” Opt. Lett. 17, 833–835 (1992).
[CrossRef] [PubMed]

1988 (2)

1986 (1)

J. Turunen, A. T. Friberg, “Matrix representation of Gaussian Schell-model beams in optical system,” Opt. Laser Technol. 18, 259–267 (1986).
[CrossRef]

Askins, C. G.

Bagini, V.

Bashkansky, M.

Cali´, C.

M. R. Perrone, C. Calı́, C. Pace, “Performance of a Xe–Cl laser with super-Gaussian reflectivity unstable resonators,” Opt. Commun. 92, 93–98 (1992).
[CrossRef]

Chang, J. J.

Cincotti, G.

G. Cincotti, P. De Santis, G. Guattari, C. Palma, “Propagation of partially coherent beams in a periodic sequence of lenses and Gaussian apertures,” Pure Appl. Opt. 3, 561–571 (1994).
[CrossRef]

De Nunzio, G.

M. R. Perrone, S. Tundo, C. Panzera, G. De Nunzio, “Beam divergence control of excimers with plane-parallel Gaussian cavities,” Appl. Opt. 36, 8574–8581 (1997).
[CrossRef]

C. Palma, C. Panzera, M. R. Perrone, G. De Nunzio, A. Mascello, “Parameters evolution of laser beams with quite general intensity profile,” IEEE J. Quantum Electron. 33, 2178–2187 (1997).
[CrossRef]

De Santis, P.

G. Cincotti, P. De Santis, G. Guattari, C. Palma, “Propagation of partially coherent beams in a periodic sequence of lenses and Gaussian apertures,” Pure Appl. Opt. 3, 561–571 (1994).
[CrossRef]

De Silvestri, S.

Eppich, B.

N. Reng, B. Eppich, “Definition and measurements of high-power laser beam parameters,” Opt. Quantum Electron. 24, S973–S992 (1992).
[CrossRef]

Fang, H.

H. Fang, M. R. Perrone, “Numerical simulation of excimer lasers with unstable resonators,” IEEE J. Quantum Electron. 30, 2369–2375 (1994).
[CrossRef]

Flori, D.

Friberg, A. T.

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

J. Turunen, A. T. Friberg, “Matrix representation of Gaussian Schell-model beams in optical system,” Opt. Laser Technol. 18, 259–267 (1986).
[CrossRef]

Friebele, E. J.

Giuri, C.

Guattari, G.

G. Cincotti, P. De Santis, G. Guattari, C. Palma, “Propagation of partially coherent beams in a periodic sequence of lenses and Gaussian apertures,” Pure Appl. Opt. 3, 561–571 (1994).
[CrossRef]

Johnston, T. F.

M. W. Sasnett, T. F. Johnston, “Beam characterization and measurement of propagation attributes,” in Laser Beam Diagnostics, R. N. Hindy, Y. Kohanzadeh, eds., Proc. SPIE1414 (1991), pp. 21–32.

Knight, L. V.

Laporta, P.

Magni, V.

Majocchi, B.

Mascello, A.

C. Palma, C. Panzera, M. R. Perrone, G. De Nunzio, A. Mascello, “Parameters evolution of laser beams with quite general intensity profile,” IEEE J. Quantum Electron. 33, 2178–2187 (1997).
[CrossRef]

Pace, C.

M. R. Perrone, C. Calı́, C. Pace, “Performance of a Xe–Cl laser with super-Gaussian reflectivity unstable resonators,” Opt. Commun. 92, 93–98 (1992).
[CrossRef]

Palma, C.

C. Palma, C. Panzera, M. R. Perrone, G. De Nunzio, A. Mascello, “Parameters evolution of laser beams with quite general intensity profile,” IEEE J. Quantum Electron. 33, 2178–2187 (1997).
[CrossRef]

M. R. Perrone, C. Palma, V. Bagini, A. Piegari, D. Flori, S. Scaglione, “Theoretical and experimental determination of single round-trip beam parameters in a Xe–Cl laser,” J. Opt. Soc. Am. A 12, 991–998 (1995).
[CrossRef]

G. Cincotti, P. De Santis, G. Guattari, C. Palma, “Propagation of partially coherent beams in a periodic sequence of lenses and Gaussian apertures,” Pure Appl. Opt. 3, 561–571 (1994).
[CrossRef]

Panzera, C.

M. R. Perrone, S. Tundo, C. Panzera, G. De Nunzio, “Beam divergence control of excimers with plane-parallel Gaussian cavities,” Appl. Opt. 36, 8574–8581 (1997).
[CrossRef]

C. Palma, C. Panzera, M. R. Perrone, G. De Nunzio, A. Mascello, “Parameters evolution of laser beams with quite general intensity profile,” IEEE J. Quantum Electron. 33, 2178–2187 (1997).
[CrossRef]

Perrone, M. R.

C. Palma, C. Panzera, M. R. Perrone, G. De Nunzio, A. Mascello, “Parameters evolution of laser beams with quite general intensity profile,” IEEE J. Quantum Electron. 33, 2178–2187 (1997).
[CrossRef]

M. R. Perrone, S. Tundo, C. Panzera, G. De Nunzio, “Beam divergence control of excimers with plane-parallel Gaussian cavities,” Appl. Opt. 36, 8574–8581 (1997).
[CrossRef]

C. Giuri, M. R. Perrone, V. Piccinno, “Output coupler design of unstable cavities for excimer lasers,” Appl. Opt. 36, 1143–1148 (1997).
[CrossRef] [PubMed]

M. R. Perrone, C. Palma, V. Bagini, A. Piegari, D. Flori, S. Scaglione, “Theoretical and experimental determination of single round-trip beam parameters in a Xe–Cl laser,” J. Opt. Soc. Am. A 12, 991–998 (1995).
[CrossRef]

H. Fang, M. R. Perrone, “Numerical simulation of excimer lasers with unstable resonators,” IEEE J. Quantum Electron. 30, 2369–2375 (1994).
[CrossRef]

M. R. Perrone, C. Calı́, C. Pace, “Performance of a Xe–Cl laser with super-Gaussian reflectivity unstable resonators,” Opt. Commun. 92, 93–98 (1992).
[CrossRef]

Piccinno, V.

Piegari, A.

Putnam, M. A.

Reng, N.

N. Reng, B. Eppich, “Definition and measurements of high-power laser beam parameters,” Opt. Quantum Electron. 24, S973–S992 (1992).
[CrossRef]

Sasnett, M. W.

M. W. Sasnett, T. F. Johnston, “Beam characterization and measurement of propagation attributes,” in Laser Beam Diagnostics, R. N. Hindy, Y. Kohanzadeh, eds., Proc. SPIE1414 (1991), pp. 21–32.

Scaglione, S.

Siegman, A. E.

A. E. Siegman, “Output beam propagation and beam quality from a multimode stable cavity laser,” IEEE J. Quantum Electron. 29, 1212–1217 (1993).
[CrossRef]

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 23, p. 915.

Svelto, O.

Tsai, T. E.

Tundo, S.

Turunen, J.

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

J. Turunen, A. T. Friberg, “Matrix representation of Gaussian Schell-model beams in optical system,” Opt. Laser Technol. 18, 259–267 (1986).
[CrossRef]

Walsh, D. M.

Williams, G. M.

Appl. Opt. (4)

IEEE J. Quantum Electron. (3)

A. E. Siegman, “Output beam propagation and beam quality from a multimode stable cavity laser,” IEEE J. Quantum Electron. 29, 1212–1217 (1993).
[CrossRef]

H. Fang, M. R. Perrone, “Numerical simulation of excimer lasers with unstable resonators,” IEEE J. Quantum Electron. 30, 2369–2375 (1994).
[CrossRef]

C. Palma, C. Panzera, M. R. Perrone, G. De Nunzio, A. Mascello, “Parameters evolution of laser beams with quite general intensity profile,” IEEE J. Quantum Electron. 33, 2178–2187 (1997).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Commun. (1)

M. R. Perrone, C. Calı́, C. Pace, “Performance of a Xe–Cl laser with super-Gaussian reflectivity unstable resonators,” Opt. Commun. 92, 93–98 (1992).
[CrossRef]

Opt. Laser Technol. (1)

J. Turunen, A. T. Friberg, “Matrix representation of Gaussian Schell-model beams in optical system,” Opt. Laser Technol. 18, 259–267 (1986).
[CrossRef]

Opt. Lett. (2)

Opt. Quantum Electron. (1)

N. Reng, B. Eppich, “Definition and measurements of high-power laser beam parameters,” Opt. Quantum Electron. 24, S973–S992 (1992).
[CrossRef]

Pure Appl. Opt. (1)

G. Cincotti, P. De Santis, G. Guattari, C. Palma, “Propagation of partially coherent beams in a periodic sequence of lenses and Gaussian apertures,” Pure Appl. Opt. 3, 561–571 (1994).
[CrossRef]

Other (2)

A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 23, p. 915.

M. W. Sasnett, T. F. Johnston, “Beam characterization and measurement of propagation attributes,” in Laser Beam Diagnostics, R. N. Hindy, Y. Kohanzadeh, eds., Proc. SPIE1414 (1991), pp. 21–32.

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