Abstract

A detailed study of the coherent and the incoherent combinations of two-dimensional off-axis Hermite–Gaussian beams with rectangular symmetry is made. The closed-form propagation formulas of the resulting beam are derived, and the resulting beam quality in terms of the M2 factor and power in the bucket is discussed and compared for the coherent and the incoherent combinations. In addition, it is shown that the resulting astigmatic beam can be symmetrized in the sense of the second-moment definition of beam width. However, the symmetrizing transformation of the resulting astigmatic beams is incomplete, because there exist different irradiance profiles.

© 2000 Optical Society of America

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1998 (2)

1997 (1)

1995 (1)

1994 (2)

B. Ozygus, H. Laabs, “Gain-induced coupling of solid-state lasers,” Chaos, Solitons, Fractals 4, 1559–1572 (1994).

D. Zhao, Q. Lin, S. Wang, “Symmetrizing transformation of general astigmatic Gaussian beams,” Opt. Quantum Electron. 26, 903–910 (1994).

1993 (1)

1992 (1)

H. Weber, “Some historical and technical aspects of beam quality,” Opt. Quant. Electron. 24, 861–864 (1992).
[CrossRef]

1991 (2)

1989 (1)

1970 (1)

Andrews, J. R.

Belanger, P. A.

Bernard, J. M.

R. A. Chodzko, J. M. Bernard, H. Mirels, “Coherent combination of multiline lasers,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 239–253 (1990).

Bretenaker, F.

Brunel, M.

Capjack, C. E.

Chodzko, R. A.

R. A. Chodzko, J. M. Bernard, H. Mirels, “Coherent combination of multiline lasers,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 239–253 (1990).

Collins, S. A.

Eppich, B.

B. Eppich, A. T. Friberg, C. Gao, H. Weber, “Twist of coherent field and beam quality,” in Third International Workshop on Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

Floch, A. L.

Friberg, A. T.

B. Eppich, A. T. Friberg, C. Gao, H. Weber, “Twist of coherent field and beam quality,” in Third International Workshop on Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

Gao, C.

B. Eppich, A. T. Friberg, C. Gao, H. Weber, “Twist of coherent field and beam quality,” in Third International Workshop on Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

Laabs, H.

B. Ozygus, H. Laabs, “Gain-induced coupling of solid-state lasers,” Chaos, Solitons, Fractals 4, 1559–1572 (1994).

Lin, Q.

D. Zhao, Q. Lin, S. Wang, “Symmetrizing transformation of general astigmatic Gaussian beams,” Opt. Quantum Electron. 26, 903–910 (1994).

Marty, J.

Mirels, H.

R. A. Chodzko, J. M. Bernard, H. Mirels, “Coherent combination of multiline lasers,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 239–253 (1990).

Molva, E.

Ozygus, B.

B. Ozygus, H. Laabs, “Gain-induced coupling of solid-state lasers,” Chaos, Solitons, Fractals 4, 1559–1572 (1994).

Palma, C.

Schuster, G. L.

Seguin, H. J. J.

Siegman, A. E.

A. E. Siegman, “New development in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990).

A. E. Siegman, “How to (maybe) measure laser beam quality,” in Diode Pumped Solid State Lasers: Applications and Issues, M. W. Dowley, ed., Vol. 17 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998), pp. 184–199.

Strohschein, J. D.

Wang, S.

D. Zhao, Q. Lin, S. Wang, “Symmetrizing transformation of general astigmatic Gaussian beams,” Opt. Quantum Electron. 26, 903–910 (1994).

Weber, H.

H. Weber, “Some historical and technical aspects of beam quality,” Opt. Quant. Electron. 24, 861–864 (1992).
[CrossRef]

B. Eppich, A. T. Friberg, C. Gao, H. Weber, “Twist of coherent field and beam quality,” in Third International Workshop on Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

Zhao, D.

D. Zhao, Q. Lin, S. Wang, “Symmetrizing transformation of general astigmatic Gaussian beams,” Opt. Quantum Electron. 26, 903–910 (1994).

Appl. Opt. (4)

Chaos, Solitons, Fractals (1)

B. Ozygus, H. Laabs, “Gain-induced coupling of solid-state lasers,” Chaos, Solitons, Fractals 4, 1559–1572 (1994).

J. Opt. Soc. Am. (1)

Opt. Lett. (4)

Opt. Quant. Electron. (1)

H. Weber, “Some historical and technical aspects of beam quality,” Opt. Quant. Electron. 24, 861–864 (1992).
[CrossRef]

Opt. Quantum Electron. (1)

D. Zhao, Q. Lin, S. Wang, “Symmetrizing transformation of general astigmatic Gaussian beams,” Opt. Quantum Electron. 26, 903–910 (1994).

Other (4)

B. Eppich, A. T. Friberg, C. Gao, H. Weber, “Twist of coherent field and beam quality,” in Third International Workshop on Laser Beam and Optics Characterization, M. Morin, A. Giesen, eds., Proc. SPIE2870, 260–267 (1996).

A. E. Siegman, “How to (maybe) measure laser beam quality,” in Diode Pumped Solid State Lasers: Applications and Issues, M. W. Dowley, ed., Vol. 17 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998), pp. 184–199.

A. E. Siegman, “New development in laser resonators,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 2–14 (1990).

R. A. Chodzko, J. M. Bernard, H. Mirels, “Coherent combination of multiline lasers,” in Optical Resonators, D. A. Holmes, ed., Proc. SPIE1224, 239–253 (1990).

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