Applied Physics B

, Volume 32, Issue 3, pp 145–152 | Cite as

Frequency modulation (FM) spectroscopy

Theory of lineshapes and signal-to-noise analysis
  • G. C. Bjorklund
  • M. D. Levenson
  • W. Lenth
  • C. Ortiz
Invited Papers


Frequency modulation (FM) spectroscopy is a new method of optical heterodyne spectroscopy capable of sensitive and rapid measurement of the absorption or dispersion associated with narrow spectral features. The absorption or dispersion is measured by detecting the heterodyne beat signal that occurs when the FM optical spectrum of the probe wave is distorted by the spectral feature of interest. A short historical perspective and survey of the FM spectroscopy work performed to date is presented. Expressions describing the nature of the beat signal are derived. Theoretical lineshapes for a variety of experimental conditions are given. A signal-to-noise analysis is carried out to determine the ultimate sensitivity limits.




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  1. 1.
    G.C. Bjorklund: IBM Invention Disclosure SA 8790135 (March 1979) G.C. Bjorklund: Opt. Lett.5, 15 (1980) G.C. Bjorklund: U.S. Patent 4,297,035 (November 1981)Google Scholar
  2. 2.
    This technique was independently suggested by R.W.P. Drever as a means for servo-locking a tunable laser to a high finesse optical cavity. It was first experimentally implemented for this purpose by R.W.P. Drever, J.L. Hall, F.V. Kowalski, J. Hough, G.M. Ford, A.J. Munley (September 1979) and then by M. Prentiss, B. Peuse, G. Sanders, S. Ezekiel: Research Laboratory of Electronics, Progress Report No 123 (January 1981) (Massachusetts Institute of Technology, Cambridge, MA)Google Scholar
  3. 3.
    R.V. Pound: Rev. Sci. Instrum.17, 490 (1946)Google Scholar
  4. 4.
    B. Smaller: Phys. Rev.83, 812 (1951)Google Scholar
  5. 5.
    J.V. Acrivos: J. Chem. Phys.36, 1097 (1962)Google Scholar
  6. 6.
    V.J. Corcoran, R.E. Cupp, J.J. Gallagher, W.T. Smith: Appl. Phys. Lett.16, 316 (1970)Google Scholar
  7. 7.
    A.T. Mattick, A. Sanchez, N.A. Kurnit, A. Javan: Appl. Phys. Lett.23, 675 (1973)Google Scholar
  8. 8.
    G. Magerl, E. Bonek, W.A. Kreiner: Chem. Phys. Lett.52, 473 (1977)Google Scholar
  9. 9.
    A. Szabo: Phys. Rev. B.11, 4512 (1975)Google Scholar
  10. 10.
    L.E. Erickson: Phys. Rev. B16, 4731 (1977)Google Scholar
  11. 11.
    J.J. Snyder, R.K. Raj, D. Bloch, M. Ducloy: Opt. Lett.5, 163 (1980)Google Scholar
  12. 12.
    R.K. Raj, D. Bloch, J.J. Snyder, G. Camy, M. Ducloy: Phys. Rev. Lett.44, 1251 (1980)Google Scholar
  13. 13.
    D. Bloch, M. Ducloy, E. Giacobino: J. Phys. B14, L819 (1981)Google Scholar
  14. 14.
    M. Ducloy, D. Bloch: J. Phys. (Paris)43, 57 (1982)Google Scholar
  15. 15.
    E.D. Hinkley, P.L. Kelley. Science171, 635 (1971)Google Scholar
  16. 16.
    C.L. Tang, J.M. Telle: J. Appl. Phys.45, 4503 (1974)Google Scholar
  17. 17.
    S.E. Harris, M.K. Oshman, B.J. McMurtry, E.O. Ammann. Appl. Phys. Lett.7, 185 (1975)Google Scholar
  18. 18.
    G.C. Bjorklund, M.D. Levenson: Phys. Rev. A24, 166 (1981)Google Scholar
  19. 18a.
    G.C. Bjorklund, W. Lenth, M.D. Levenson, C. Ortiz: SPIE286, 153 (1981)Google Scholar
  20. 19.
    J.L. Hall, L. Hollberg, T. Baer, H.G. Robinson: Appl. Phys. Lett.39, 680 (1981) andLaser Spectroscopy V, ed. by A.R.W. McKellar, T. Oka, B.P. Stoicheff (Springer, Berlin, Heidelberg, New York 1981) p. 15Google Scholar
  21. 20.
    W. Lenth, C. Ortiz, G.C. Bjorklund: Opt. Lett.6, 351 (1981)Google Scholar
  22. 21.
    G.C. Bjorklund, W. Lenth, M.D. Levenson, C. Ortiz: InLaser Spectroscopy V, ed. by A.R.W. McKellar, T. Oka, B.P. Stoicheff (Springer, Berlin, Heidelberg, New York 1981) p. 389Google Scholar
  23. 22.
    W. Lenth, G.C. Bjorklund, C. Ortiz: InProc. of the Lasers '81 Conference, New Orleans, Lousiana (in press)Google Scholar
  24. 23.
    W. Zapka, P. Pokrowsky, F.M. Schellenberg, G.C. Bjorklund: Opt. Commun.44, 117 (1982)Google Scholar
  25. 24.
    W. Zapka, M.D. Levenson, F.M. Schellenberg, A.C. Tam, G.C. Bjorklund: Opt. Lett.8, 27 (1983)Google Scholar
  26. 25.
    M.D. Levenson, W.E. Moerner, D.E. Horne: Opt. Lett.8, 108 (1983)Google Scholar
  27. 26.
    P. Pokrowsky, E.A. Whittaker, G.C. Bjorklund: Opt. Commun.45, 196 (1983)Google Scholar
  28. 27.
    E.A. Whittaker, P. Pokrowsky, W. Zapka, K. Roche, G.C. Bjorklund: J. Quant. Spectrosc. Radiat. Transf.30 (1983, in press)Google Scholar
  29. 28.
    G.S. Agarwal: Phys. Rev. A,23, 1375 (1981)Google Scholar
  30. 29.
    A. Schenzle, R.G. De Voe, R.G. Brewer: Phys. Rev. A25, 2606 (1982)Google Scholar
  31. 30.
    J.H. Shirley: Opt. Lett.7, 537 (1982)Google Scholar
  32. 31.
    E.A. Whittaker, G.C. Bjorklund: Paper FG1, Conference on Lasers and Electro-Optics, May 17–20, 1983, Baltimore, MarylandGoogle Scholar
  33. 32.
    G.A. Sanders, M.G. Prentiss, S. Ezekiel: Opt. Lett.6, 569 (1981)Google Scholar
  34. 33.
    R.G. De Voe, R.G. Brewer: Phys. Rev. Lett.50, 1269 (1983)Google Scholar
  35. 33a.
    R.G. De Voe, R.G. Brewer: Phys. Rev. A26, 705 (1982)Google Scholar
  36. 34.
    R.W.P. Drever, J.L. Hall, F.V. Kowalski, J. Hough, G.M. Ford, A.J. Munley, H. Ward: Appl. Phys. B31, 97 (1983)Google Scholar
  37. 35.
    W. Lenth et al.: To be publishedGoogle Scholar
  38. 36.
    T.F. Gallagher, R. Kachru, F. Gounand, G.C. Bjorklund, W. Lenth: Opt. Lett.7, 28 (1982)Google Scholar
  39. 37.
    N.H. Tran, R. Kachru, T.F. Gallagher, J.P. Watjen, G.C. Bjorklund: Opt. Lett.8, 157 (1983)Google Scholar
  40. 38.
    E.A. Whittaker, H.R. Wendt, H. Hunziker, G.C. Bjorklund: To be publishedGoogle Scholar

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • G. C. Bjorklund
    • 1
  • M. D. Levenson
    • 1
  • W. Lenth
    • 2
  • C. Ortiz
    • 3
  1. 1.IBM Research LaboratorySan JoseUSA
  2. 2.MIT Lincoln LaboratoryLexingtonUSA
  3. 3.Instituto de OpticaMadridSpain

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