Skip to main content
Log in

Laser beam patterns of an optical cavity formed by two twisted cylindrical mirrors

  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

Propagation of an elliptical Gaussian beam in a multiple-pass optical cell formed by two twisted cylindrical mirrors has been described by means of complex curvature tensors. Using the ABCD tensor approach various light patterns were computed for the use in tunable laser absorption spectroscopy with a multiple-pass optical cell. Light patterns with high beam-spot density can be also defined for a cavity formed by two twisted cylindrical high-reflectivity mirrors. In order to achieve higher cavity output intensity, a high-reflectivity cylindrical mirror cavity with at least one mirror that has a central transparent spot for laser beam injection has been described for applications in non-resonant cavity enhanced absorption spectroscopy.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.U. White, J. Opt. Soc. Am. 32, 285 (1942)

    Article  ADS  Google Scholar 

  2. D. Herriott, H. Kogelnik, R. Kompfner, Appl. Opt. 3, 523 (1964)

    Article  ADS  Google Scholar 

  3. D.R. Herriott, H.J. Kogelnik, Appl. Opt. 4, 883 (1965)

    Article  ADS  Google Scholar 

  4. J.B. McManus, P.L. Kebabian, M.S. Zahniser, Appl. Opt. 34, 3336 (1995)

    Article  ADS  Google Scholar 

  5. J.B. McManus, Appl. Opt. 46, 472 (2007)

    Article  ADS  Google Scholar 

  6. D. Qu, Z. Liu, C. Gmachl, Appl. Phys. Lett. 93, 014101 (2008)

    Article  ADS  Google Scholar 

  7. S.M. Chernin, J. Mod. Opt. 48, 619 (2001)

    ADS  Google Scholar 

  8. C. Robert, Appl. Opt. 46, 5408 (2007)

    Article  ADS  Google Scholar 

  9. L. Hao, S. Qiang, G. Wu, L. Qi, D. Feng, Q. Zhu, Rev. Sci. Instrum. 73, 2079 (2002)

    Article  ADS  Google Scholar 

  10. J.A. Silver, Appl. Opt. 44, 6545 (2005)

    Article  ADS  Google Scholar 

  11. V.L. Kasyutich, P.A. Martin, Appl. Phys. B 88, 125 (2007)

    Article  ADS  Google Scholar 

  12. H. Kogelnik, T. Li, Appl. Opt. 5, 1550 (1966)

    Article  ADS  Google Scholar 

  13. L.S. Kornienko, B.G. Skuibin, Opt. Spectrosk. 40, 323 (1976)

    ADS  Google Scholar 

  14. A. O’Keefe, D.A.G. Deacon, Rev. Sci. Instrum. 59, 2544 (1988)

    Article  ADS  Google Scholar 

  15. D. Romanini, A.A. Kachanov, N. Sadeghi, F. Stoeckel, Chem. Phys. Lett. 264, 316 (1997)

    Article  ADS  Google Scholar 

  16. J. Morville, D. Romanini, A.A. Kachanov, M. Chenevier, Appl. Phys. B 78, 465 (2004)

    Article  ADS  Google Scholar 

  17. J. Ye, L.S. Ma, J.L. Hall, J. Opt. Soc. Am. B 15, 6 (1998)

    Article  ADS  Google Scholar 

  18. A. Foltynowicz, F.M. Schmidt, W. Ma, O. Axner, Appl. Phys. B 92, 313 (2008)

    Article  ADS  Google Scholar 

  19. R. Engeln, G. Beerden, R. Peeters, G. Meijer, Rev. Sci. Instrum. 69, 3763 (1998)

    Article  ADS  Google Scholar 

  20. A. O’Keefe, Chem. Phys. Lett. 293, 331 (1998)

    Article  ADS  Google Scholar 

  21. A. O’Keefe, J.J. Scherer, J.B. Paul, Chem. Phys. Lett. 307, 343 (1999)

    Article  Google Scholar 

  22. J.M. Herbelin, J.A. McKay, M.A. Kwok, R.H. Ueunten, D.S. Urevig, D.J. Spencer, D.J. Benard, Appl. Opt. 19, 144 (1980)

    Article  ADS  Google Scholar 

  23. R. Engeln, G. von Helden, G. Berden, G. Meijer, Chem. Phys. Lett. 262, 105 (1996)

    Article  ADS  Google Scholar 

  24. S.J.M. Habraken, G. Nienhuis, Phys. Rev. A 75, 033819 (2007)

    Article  ADS  Google Scholar 

  25. S.J.M. Habraken, G. Nienhuis, Phys. Rev. A 77, 053803 (2008)

    Article  ADS  Google Scholar 

  26. J.B. Paul, L. Lapson, J.G. Anderson, Appl. Opt. 40, 4904 (2002)

    Article  ADS  Google Scholar 

  27. V.L. Kasyutich, C.E. Canosa-Mas, C. Pfrang, S. Vaughan, R.P. Wayne, Appl. Phys. B 75, 755 (2002)

    Article  ADS  Google Scholar 

  28. E.J. Moyer, D.S. Sayres, G.S. Engel, J.M. St. Clair, F.N. Keutsch, N.T. Allen, J.H. Kroll, J.G. Anderson, Appl. Phys. B 92, 467 (2008)

    Article  ADS  Google Scholar 

  29. Y.A. Bakhirkin, A.A. Kosterev, C. Roller, R.F. Curl, F.K. Tittel, Appl. Opt. 43, 2257 (2004)

    Article  ADS  Google Scholar 

  30. V. L Kasyutich, P. A Martin, R. J Holdsworth, Meas. Sci. Technol. 17, 923 (2006)

    Article  ADS  Google Scholar 

  31. V.L. Kasyutich, P.A. Martin, Chem. Phys. Lett. 446, 206 (2007)

    Article  ADS  Google Scholar 

  32. J.A. Arnaud, H. Kogelnik, Appl. Opt. 8, 1687 (1969)

    Article  ADS  Google Scholar 

  33. J.A. Arnaud, Bell Syst. Tech. J. 49, 2311 (1970)

    MATH  MathSciNet  Google Scholar 

  34. I.V. Golovnin, A.I. Kovrigin, A.N. Konovalov, G.D. Laptev, Quantum Electron. 25, 436 (1995)

    Article  Google Scholar 

  35. D. Janner, G.D. Valle, G. Galzerano, S. Longhi, Opt. Quantum Electron. 36, 1061 (2004)

    Article  Google Scholar 

  36. B. Lü, G. Feng, B. Cai, Opt. Quantum Electron. 25, 275 (1993)

    Article  Google Scholar 

  37. D. Onciul, J. Opt. 23, 163 (1992)

    Article  ADS  Google Scholar 

  38. J. Alda, S. Wang, E. Bernabeu, Opt. Commun. 80, 350 (1991)

    Article  ADS  Google Scholar 

  39. W.D. Herzog, M.S. Ünlu, B.B. Goldberg, G.H. Rhodes, C. Harder, Appl. Phys. Lett. 70, 688 (1997)

    Article  ADS  Google Scholar 

  40. H. Mao, D. Zhao, J. Opt. Soc. Am. A 22, 647 (2005)

    Article  ADS  Google Scholar 

  41. Y. Cai, X. Lü, H.T. Eyyuboǧlu, Y. Baykal, Opt. Commun. 281, 3221 (2008)

    Article  ADS  Google Scholar 

  42. X. Du, D. Zhao, J. Opt. Soc. Am. A 23, 1946 (2006)

    Article  ADS  Google Scholar 

  43. V.L. Kasyutich, C.S.E. Bale, C.E. Canosa-Mas, C. Pfrang, S. Vaughan, R.P. Wayne, Appl. Phys. B 76, 691 (2003)

    ADS  Google Scholar 

  44. X. Liu, K.-H. Brenner, Appl. Opt. 47, E88 (2008)

    Article  ADS  Google Scholar 

  45. V.L. Kasyutich, P.A. Martin, R.J. Holdsworth, Appl. Phys. B 85, 413 (2006)

    Article  ADS  Google Scholar 

  46. W. Zhao, X. Gao, W. Chen, W. Zhang, T. Huang, T. Wu, H. Cha, Appl. Phys. B 86, 353 (2007)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. L. Kasyutich.

Additional information

The author was with TDL Sensors Ltd., when the experimental part of this work was performed.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kasyutich, V.L. Laser beam patterns of an optical cavity formed by two twisted cylindrical mirrors. Appl. Phys. B 96, 141–148 (2009). https://doi.org/10.1007/s00340-009-3576-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00340-009-3576-y

PACS

Navigation