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Applied Optics

Applied Optics


  • Vol. 28, Iss. 21 — Nov. 1, 1989
  • pp: 4576–4584

Analysis of hyperboloidal ray envelopes in Herriott cells and their use in laser resonators

Jian Guo Xin, Arlene Duncan, and Denis R. Hall  »View Author Affiliations

Applied Optics, Vol. 28, Issue 21, pp. 4576-4584 (1989)

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By the use of geometric optics and matrix methods an analysis of the spherical mirror Herriott cell is presented. The hyperboloidal beam envelope inside the cell is derived, and equations are given for the position and magnitude of its waist with respect to design parameters. The analysis is then repeated for the cell within a Fabry-Perot resonator. Here the stability condition is derived, and its region of validity is investigated for a range of parameters. Finally a theoretical study of the beam radius distribution at the optics is presented.

© 1989 Optical Society of America

Original Manuscript: January 4, 1989
Published: November 1, 1989

Jian Guo Xin, Arlene Duncan, and Denis R. Hall, "Analysis of hyperboloidal ray envelopes in Herriott cells and their use in laser resonators," Appl. Opt. 28, 4576-4584 (1989)

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  1. J. G. Xin, D. R. Hall, “Multipass Coaxial Radiofrequency Discharge CO2 Laser,” Opt. Commun. 58420–422 (1986). [CrossRef]
  2. G. Goubau, F. Schwering, “On the Guided Propagation of Electromagnetic Wave Beams,” IRE Trans. Antennas Propag. AP-9, 248–256 (1961). [CrossRef]
  3. G. D. Boyd, J. P. Gordon, “Confocal Multimode Resonator for Millimeter Through Optical Wavelength Masers,” Bell Syst. Tech. J. 40, 489 (1961).
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  7. J. G. Xin, D. R. Hall, “Compact, Multipass, Single Transverse Mode CO2 Laser,” Appl. Phys. Lett. 51, 469–471 (1987). [CrossRef]
  8. H. Schulke, G. Herziger, R. Webster, “Multipass Resonators for Laser Systems,” Proc. Soc. Photo-Opt. Instrum. Eng. 801, 45–50 (1987).
  9. H. Kogelnik, T. Li, “Laser Beams and Resonators,” Appl. Opt. 5, 1550–1567 (1966). [CrossRef] [PubMed]
  10. A. Yariv, Optoelectronics (Holt Saunders, 1985).
  11. H. Kogelnik, T. Bridges, “A Nonresonant Multipass CO2 Laser Amplifier,” IEEE J. Quantum Electron. QE-3, 95–96 (1967). [CrossRef]
  12. J. G. Xin, A. Duncan, D. R. Hall, “Optical Field Distribution in a Hyperboloidal Ray Envelope Multipass Laser Resonator,” in preparation.

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