Abstract

The modes of a stable laser resonator containing, near one mirror, an absorbing mask with two apertures have been calculated on the basis of scalar diffraction theory and experimentally observed in a pulsed Nd:YAG laser. The mode structure has been investigated as a function of the mask geometry, and an interpretation in terms of supermodes is provided.

© 1989 Optical Society of America

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  1. G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).
  2. D. G. Youmans, “Phase Locking of Adjacent Channel Leaky Waveguide CO2 Lasers,” Appl. Phys. Lett. 44, 365–367 (1984).
    [CrossRef]
  3. L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
    [CrossRef]
  4. R. A. Hart, L. A. Newman, J. T. Kennedy, “Staggered Hollow-Bore CO2 Waveguide Laser Array,” in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987), pp. 354–356.
  5. D. Cantin, M. Piche, G. A. Heckman, “Phase-Locking of CO2 Laser Array Using Diffraction Coupling,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 82, 83.
  6. S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
    [CrossRef]
  7. S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Segmented-Mirror Laser Resonators,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 16–17.
  8. S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Resonators with Modulated Reflectivity Mirrors,” in Sixteenth International Conference on Quantum Electronics Technical Digest (Japanese Society of Applied Physics, 1988), pp. 98–99.
  9. E. Kapon, J. Katz, A. Yariv, “Supermode Analysis of Phase-Locked Arrays of Semiconductor Lasers,” Opt. Lett. 9, 125–127 (1984).
    [CrossRef] [PubMed]
  10. P. Baues, “Hyugens’ Principle in Inhomogeneous, Isotropic Media and a General Integral Equation Applicable to Optical Resonators,” Opto-electronics 1, 37–44 (1969).
    [CrossRef]
  11. A. E. Siegman, Lasers (Oxford U.P., London, 1986), pp. 792–793.
  12. A. E. Siegman, H. Y. Miller, “Unstable Optical Resonator Loss Calculations Using the Prony Method,” Appl. Opt. 9, 2729–2736 (1970).
    [CrossRef] [PubMed]
  13. W. D. Murphy, M. L. Bernabe, “Numerical Procedures for Solving Nonsymmetric Eigenvalue Problems Associated with Optical Resonators,” Appl. Opt. 17, 2358–2365 (1978).
    [CrossRef] [PubMed]
  14. J. Katz, S. Margalit, A. Yariv, “Diffraction Coupled Phase-Locked Semiconductor Laser Arrays,” Appl. Phys. Lett. 42, 554–556 (1983).
    [CrossRef]
  15. J. Katz, J. Cser, W. K. Marshall, “Diffraction-Coupled Real Index-Guided Semiconductor Laser Arrays,” in Conference on Laser and Electro-Optics Technical Digest Series 1986, Vol. 7 (Optical Society of America, Washington, DC, 1986), pp. 78–79.

1987

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
[CrossRef]

1986

G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

1984

E. Kapon, J. Katz, A. Yariv, “Supermode Analysis of Phase-Locked Arrays of Semiconductor Lasers,” Opt. Lett. 9, 125–127 (1984).
[CrossRef] [PubMed]

D. G. Youmans, “Phase Locking of Adjacent Channel Leaky Waveguide CO2 Lasers,” Appl. Phys. Lett. 44, 365–367 (1984).
[CrossRef]

1983

J. Katz, S. Margalit, A. Yariv, “Diffraction Coupled Phase-Locked Semiconductor Laser Arrays,” Appl. Phys. Lett. 42, 554–556 (1983).
[CrossRef]

1978

1970

1969

P. Baues, “Hyugens’ Principle in Inhomogeneous, Isotropic Media and a General Integral Equation Applicable to Optical Resonators,” Opto-electronics 1, 37–44 (1969).
[CrossRef]

Baues, P.

P. Baues, “Hyugens’ Principle in Inhomogeneous, Isotropic Media and a General Integral Equation Applicable to Optical Resonators,” Opto-electronics 1, 37–44 (1969).
[CrossRef]

Bernabe, M. L.

Cantin, D.

D. Cantin, M. Piche, G. A. Heckman, “Phase-Locking of CO2 Laser Array Using Diffraction Coupling,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 82, 83.

Cantor, A. J.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

Cross, P.

G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).

Cser, J.

J. Katz, J. Cser, W. K. Marshall, “Diffraction-Coupled Real Index-Guided Semiconductor Laser Arrays,” in Conference on Laser and Electro-Optics Technical Digest Series 1986, Vol. 7 (Optical Society of America, Washington, DC, 1986), pp. 78–79.

De Maria, A. J.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

De Silvestri, S.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
[CrossRef]

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Segmented-Mirror Laser Resonators,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 16–17.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Resonators with Modulated Reflectivity Mirrors,” in Sixteenth International Conference on Quantum Electronics Technical Digest (Japanese Society of Applied Physics, 1988), pp. 98–99.

Harnagel, G.

G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).

Hart, R. A.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

R. A. Hart, L. A. Newman, J. T. Kennedy, “Staggered Hollow-Bore CO2 Waveguide Laser Array,” in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987), pp. 354–356.

Heckman, G. A.

D. Cantin, M. Piche, G. A. Heckman, “Phase-Locking of CO2 Laser Array Using Diffraction Coupling,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 82, 83.

Kapon, E.

Katz, J.

E. Kapon, J. Katz, A. Yariv, “Supermode Analysis of Phase-Locked Arrays of Semiconductor Lasers,” Opt. Lett. 9, 125–127 (1984).
[CrossRef] [PubMed]

J. Katz, S. Margalit, A. Yariv, “Diffraction Coupled Phase-Locked Semiconductor Laser Arrays,” Appl. Phys. Lett. 42, 554–556 (1983).
[CrossRef]

J. Katz, J. Cser, W. K. Marshall, “Diffraction-Coupled Real Index-Guided Semiconductor Laser Arrays,” in Conference on Laser and Electro-Optics Technical Digest Series 1986, Vol. 7 (Optical Society of America, Washington, DC, 1986), pp. 78–79.

Kennedy, J. T.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

R. A. Hart, L. A. Newman, J. T. Kennedy, “Staggered Hollow-Bore CO2 Waveguide Laser Array,” in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987), pp. 354–356.

Laporta, P.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
[CrossRef]

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Segmented-Mirror Laser Resonators,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 16–17.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Resonators with Modulated Reflectivity Mirrors,” in Sixteenth International Conference on Quantum Electronics Technical Digest (Japanese Society of Applied Physics, 1988), pp. 98–99.

Magni, V.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
[CrossRef]

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Segmented-Mirror Laser Resonators,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 16–17.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Resonators with Modulated Reflectivity Mirrors,” in Sixteenth International Conference on Quantum Electronics Technical Digest (Japanese Society of Applied Physics, 1988), pp. 98–99.

Margalit, S.

J. Katz, S. Margalit, A. Yariv, “Diffraction Coupled Phase-Locked Semiconductor Laser Arrays,” Appl. Phys. Lett. 42, 554–556 (1983).
[CrossRef]

Marshall, W. K.

J. Katz, J. Cser, W. K. Marshall, “Diffraction-Coupled Real Index-Guided Semiconductor Laser Arrays,” in Conference on Laser and Electro-Optics Technical Digest Series 1986, Vol. 7 (Optical Society of America, Washington, DC, 1986), pp. 78–79.

Miller, H. Y.

Murphy, W. D.

Newman, L. A.

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

R. A. Hart, L. A. Newman, J. T. Kennedy, “Staggered Hollow-Bore CO2 Waveguide Laser Array,” in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987), pp. 354–356.

Piche, M.

D. Cantin, M. Piche, G. A. Heckman, “Phase-Locking of CO2 Laser Array Using Diffraction Coupling,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 82, 83.

Scifres, D.

G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).

Siegman, A. E.

Svelto, O.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
[CrossRef]

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Segmented-Mirror Laser Resonators,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 16–17.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Resonators with Modulated Reflectivity Mirrors,” in Sixteenth International Conference on Quantum Electronics Technical Digest (Japanese Society of Applied Physics, 1988), pp. 98–99.

Welch, D.

G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).

Yariv, A.

E. Kapon, J. Katz, A. Yariv, “Supermode Analysis of Phase-Locked Arrays of Semiconductor Lasers,” Opt. Lett. 9, 125–127 (1984).
[CrossRef] [PubMed]

J. Katz, S. Margalit, A. Yariv, “Diffraction Coupled Phase-Locked Semiconductor Laser Arrays,” Appl. Phys. Lett. 42, 554–556 (1983).
[CrossRef]

Youmans, D. G.

D. G. Youmans, “Phase Locking of Adjacent Channel Leaky Waveguide CO2 Lasers,” Appl. Phys. Lett. 44, 365–367 (1984).
[CrossRef]

Appl. Opt.

Appl. Phys. Lett.

J. Katz, S. Margalit, A. Yariv, “Diffraction Coupled Phase-Locked Semiconductor Laser Arrays,” Appl. Phys. Lett. 42, 554–556 (1983).
[CrossRef]

D. G. Youmans, “Phase Locking of Adjacent Channel Leaky Waveguide CO2 Lasers,” Appl. Phys. Lett. 44, 365–367 (1984).
[CrossRef]

L. A. Newman, R. A. Hart, J. T. Kennedy, A. J. Cantor, A. J. De Maria, “High Power Coupled CO2 Waveguide Laser Array,” Appl. Phys. Lett. 48, 1701–1703 (1986).
[CrossRef]

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Segmented-Mirror Phased-Array Lasers,” Appl. Phys. Lett., 51, 1771–1773 (1987).
[CrossRef]

Laser & Appl.

G. Harnagel, D. Welch, P. Cross, D. Scifres, “High Power Laser Arrays: A Progress Report,” Laser & Appl., 5, 135–138 (June1986);sections on semiconductor laser arrays in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987).

Opt. Lett.

Opto-electronics

P. Baues, “Hyugens’ Principle in Inhomogeneous, Isotropic Media and a General Integral Equation Applicable to Optical Resonators,” Opto-electronics 1, 37–44 (1969).
[CrossRef]

Other

A. E. Siegman, Lasers (Oxford U.P., London, 1986), pp. 792–793.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Segmented-Mirror Laser Resonators,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 16–17.

S. De Silvestri, P. Laporta, V. Magni, O. Svelto, “Modes of Resonators with Modulated Reflectivity Mirrors,” in Sixteenth International Conference on Quantum Electronics Technical Digest (Japanese Society of Applied Physics, 1988), pp. 98–99.

R. A. Hart, L. A. Newman, J. T. Kennedy, “Staggered Hollow-Bore CO2 Waveguide Laser Array,” in Conference on Laser and Electro-Optics Technical Digest Series 1987, Vol. 14 (Optical Society of America, Washington, DC, 1987), pp. 354–356.

D. Cantin, M. Piche, G. A. Heckman, “Phase-Locking of CO2 Laser Array Using Diffraction Coupling,” in Conference on Laser and Electro-Optics Technical Digest Series 1988, Vol. 7 (Optical Society of America, Washington, DC, 1988), pp. 82, 83.

J. Katz, J. Cser, W. K. Marshall, “Diffraction-Coupled Real Index-Guided Semiconductor Laser Arrays,” in Conference on Laser and Electro-Optics Technical Digest Series 1986, Vol. 7 (Optical Society of America, Washington, DC, 1986), pp. 78–79.

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