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Applied Optics

Applied Optics


  • Vol. 36, Iss. 15 — May. 20, 1997
  • pp: 3413–3420

Stable propagation of non-Gaussian beams in a multiple-pass cell

Takuya Takasaki, Akira Suda, Kazumi Sato, Keigo Nagasaka, and Hideo Tashiro  »View Author Affiliations

Applied Optics, Vol. 36, Issue 15, pp. 3413-3420 (1997)

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To apply annular output beams emitted from an unstable resonator to a multiple-pass cell (MPC) for Raman conversion, we studied the mode-matching condition of non-Gaussian beams to a MPC using beam propagation analysis based on Laguerre–Gaussian functions. During transits of the MPC, the radial profile of an annular beam changes between annular and Airy patterns. Although such behavior indicates that it is impossible to achieve complete mode matching of an annular beam, we found a quasi-mode-matching condition under which the variation of beam size was minimized. The above theoretical analysis was verified experimentally using a CO2 laser beam prepared for a para-hydrogen Raman laser.

© 1997 Optical Society of America

Original Manuscript: May 30, 1996
Revised Manuscript: October 17, 1996
Published: May 20, 1997

Takuya Takasaki, Akira Suda, Kazumi Sato, Keigo Nagasaka, and Hideo Tashiro, "Stable propagation of non-Gaussian beams in a multiple-pass cell," Appl. Opt. 36, 3413-3420 (1997)

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  1. D. R. Herriott, H. Kogelnik, R. Kompfner, “Off-axis paths in spherical mirror interferometers,” Appl. Opt. 3, 523–526 (1964). [CrossRef]
  2. W. R. Trutna, R. L. Byer, “Multiple-pass Raman gain cell,” Appl. Opt. 19, 301–305 (1980). [CrossRef] [PubMed]
  3. R. L. Byer, W. R. Trutna, “16-µm generation by CO2-pumped rotational Raman scattering in H2,” Opt. Lett. 3, 144–146 (1978). [CrossRef] [PubMed]
  4. P. Rabinowitz, A. Stein, R. Brickman, A. Kaldor, “Stimulated rotational Raman scattering from para-H2 pumped by a CO2 TEA laser,” Opt. Lett. 3, 147–148 (1978). [CrossRef] [PubMed]
  5. K. Midorikawa, H. Tashiro, Y. Aoki, K. Nagasaka, K. Toyoda, S. Namba, “Room-temperature operation of a para-H2 rotational Raman laser,” Appl. Phys. Lett. 47, 1033–1035 (1985). [CrossRef]
  6. A. Owyoung, C. W. Patterson, R. S. Mcdowell, “Cw stimulated Raman gain spectroscopy of the ν1 fundamental of methane,” Chem. Phys. Lett. 59, 156–162 (1978). [CrossRef]
  7. D. R. Herriott, H. J. Schulte, “Folded optical delay lines,” Appl. Opt. 4, 883–889 (1965). [CrossRef]
  8. R. G. Wenzel, “Oscillation of Gaussian beam parameters in periodic lens waveguides,” Opt. Commun. 43, 89–92 (1982). [CrossRef]
  9. J. G. Xin, A. Duncan, D. R. Hall, “Analysis of hyperboloidal ray envelopes in Herriott cells and their use in laser resonators,” Appl. Opt. 28, 4576–4584 (1989). [CrossRef] [PubMed]
  10. A. E. Siegman, “Unstable optical resonator for laser applications,” Proc. IEEE 53, 277–287 (1965); IEEE. J. Quantum Electron. QE-20, 1933–1935 (1981). [CrossRef]
  11. W. J. Witteman, The CO2 laser (Springer-Verlag, Berlin, 1987), Chap. 6.
  12. A. G. Fox, T. Li, “Resonant modes in a maser interferometer,” Appl. Opt. 20, 1933–1935 (1981).
  13. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986), Chap. 16.
  14. H. Kogelnik, T. Li, “Laser beams and resonators,” Bell Syst. Tech. J. 40, 453–488 (1961).
  15. B. Perry, R. O. Brickman, A. Stein, E. B. Treacy, P. Rabinowitz, “Controllable pulse compression in a multiple-pass-cell Raman laser,” Opt. Lett. 5, 288–290 (1980). [CrossRef] [PubMed]
  16. J. T. Luxon, D. E. Parker, “Higher-order CO2 laser beam spot size and depth of focus determined,” Appl. Opt. 20, 1933–1935 (1981). [CrossRef] [PubMed]
  17. R. L. Phillips, L. C. Andrews, “Spot size and divergence for Laguerre Gaussian beams of any order,” Appl. Opt. 22, 643–644 (1983). [CrossRef] [PubMed]
  18. F. Gori, M. Santarsiero, A. Sona, “The change of width for a partially coherent beam on paraxial propagation,” Opt. Commun. 82, 197–203 (1991). [CrossRef]
  19. Y. Kokubun, S. Tamura, “Precise recursive formula for calculating spot size in optical waveguides and accurate evaluation of splice loss,” Appl. Opt. 34, 6862–6873 (1995). [CrossRef] [PubMed]
  20. K. Midorikawa, H. Tashiro, Y. Aoki, K. Ohashi, K. Nagasaka, K. Toyoda, S. Namba, “Output performance of a liquid-N2-cooled para-H2 Raman laser,” J. Appl. Phys. 57, 1504–1508 (1985). [CrossRef]

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