Abstract

The magnitudes and locations of the beam waists in both the sagittal and the tangential planes have been found by means of the ABCD matrix method for a triangular resonator. Equilateral and isosceles resonators are discussed, and curves are given from which resonators with astigmatism-free beams can be designed. A frequency-doubled triangular Nd ring laser has been constructed after this design, and it is demonstrated that this laser emits a single longitudinal mode with a circular TEM00 Gaussian beam.

© 2000 Optical Society of America

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  1. W. W. Rigrod, “The optical ring resonator,” Bell Syst. Tech. J. 44, 907–916 (1965).
    [CrossRef]
  2. H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
    [CrossRef]
  3. N. Jamasbi, J. C. Diels, L. Sarger, “Study of a linear femtosecond laser in passive and hybrid operation,” J. Mod. Opt. 35, 1891–1906 (1988).
    [CrossRef]
  4. R. W. Dunn, “Design of a triangular active ring laser 13 m on a side,” Appl. Opt. 37, 6405–6409 (1998).
    [CrossRef]
  5. T. Yoshino, T. Sumimoto, “Polarization properties of a triangular ring laser having a discharge tube with Brewster angle windows,” Appl. Opt. 9, 1831–1833 (1970).
    [CrossRef] [PubMed]
  6. J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
    [CrossRef]
  7. A. Yariv, Optical Electronics, 4th ed. (Saunders, Philadelphia, Pa., 1991).
  8. F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, Tokyo, 1976).

1998 (1)

1997 (1)

J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
[CrossRef]

1988 (1)

N. Jamasbi, J. C. Diels, L. Sarger, “Study of a linear femtosecond laser in passive and hybrid operation,” J. Mod. Opt. 35, 1891–1906 (1988).
[CrossRef]

1972 (1)

H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
[CrossRef]

1970 (1)

1965 (1)

W. W. Rigrod, “The optical ring resonator,” Bell Syst. Tech. J. 44, 907–916 (1965).
[CrossRef]

Ballantyne, J. M.

J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
[CrossRef]

Diels, J. C.

N. Jamasbi, J. C. Diels, L. Sarger, “Study of a linear femtosecond laser in passive and hybrid operation,” J. Mod. Opt. 35, 1891–1906 (1988).
[CrossRef]

Dienes, A.

H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
[CrossRef]

Dunn, R. W.

Ippen, E. P.

H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
[CrossRef]

Jamasbi, N.

N. Jamasbi, J. C. Diels, L. Sarger, “Study of a linear femtosecond laser in passive and hybrid operation,” J. Mod. Opt. 35, 1891–1906 (1988).
[CrossRef]

Jenkins, F. A.

F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, Tokyo, 1976).

Kogelnik, H. W.

H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
[CrossRef]

Lau, S. T.

J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
[CrossRef]

Leary, M. H.

J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
[CrossRef]

Liang, J. J.

J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
[CrossRef]

Rigrod, W. W.

W. W. Rigrod, “The optical ring resonator,” Bell Syst. Tech. J. 44, 907–916 (1965).
[CrossRef]

Sarger, L.

N. Jamasbi, J. C. Diels, L. Sarger, “Study of a linear femtosecond laser in passive and hybrid operation,” J. Mod. Opt. 35, 1891–1906 (1988).
[CrossRef]

Shank, C. V.

H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
[CrossRef]

Sumimoto, T.

White, H. E.

F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, Tokyo, 1976).

Yariv, A.

A. Yariv, Optical Electronics, 4th ed. (Saunders, Philadelphia, Pa., 1991).

Yoshino, T.

Appl. Opt. (2)

Appl. Phys. Lett. (1)

J. J. Liang, S. T. Lau, M. H. Leary, J. M. Ballantyne, “Unidirectional operation of waveguide diode ring lasers,” Appl. Phys. Lett. 70, 1192–1194 (1997).
[CrossRef]

Bell Syst. Tech. J. (1)

W. W. Rigrod, “The optical ring resonator,” Bell Syst. Tech. J. 44, 907–916 (1965).
[CrossRef]

IEEE J. Quantum Electron. (1)

H. W. Kogelnik, E. P. Ippen, A. Dienes, C. V. Shank, “Astigmatically compensated cavities for cw dye lasers,” IEEE J. Quantum Electron. QE-8, 373–379 (1972).
[CrossRef]

J. Mod. Opt. (1)

N. Jamasbi, J. C. Diels, L. Sarger, “Study of a linear femtosecond laser in passive and hybrid operation,” J. Mod. Opt. 35, 1891–1906 (1988).
[CrossRef]

Other (2)

A. Yariv, Optical Electronics, 4th ed. (Saunders, Philadelphia, Pa., 1991).

F. A. Jenkins, H. E. White, Fundamentals of Optics (McGraw-Hill, Tokyo, 1976).

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