OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.28.004576


View Full Text Article

Enhanced HTML    Acrobat PDF (883 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
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)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-28-21-4576


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  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).
  4. L. W. Casperson, P. M. Schienert, “Multipass Resonators for Annular Gain Lasers,” Opt. Quantum Electron. 13, 193–199 (1981). [CrossRef]
  5. T. R. Ferguson, M. E. Smithers, “Toric Unstable Resonators,” Appl. Opt. 23, 2122–2126 (1984). [CrossRef] [PubMed]
  6. D. Herriott, H. Kogelnik, R. Kompfner, “Off-Axis Paths in Spherical Mirror Interferometers,” Appl. Opt. 3, 523–526 (1964). [CrossRef]
  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.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited