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Frequency modulation (FM) spectroscopy

Theory of lineshapes and signal-to-noise analysis

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Abstract

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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References

  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)

  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. R.V. Pound: Rev. Sci. Instrum.17, 490 (1946)

    Google Scholar 

  4. B. Smaller: Phys. Rev.83, 812 (1951)

    Google Scholar 

  5. J.V. Acrivos: J. Chem. Phys.36, 1097 (1962)

    Google Scholar 

  6. V.J. Corcoran, R.E. Cupp, J.J. Gallagher, W.T. Smith: Appl. Phys. Lett.16, 316 (1970)

    Google Scholar 

  7. A.T. Mattick, A. Sanchez, N.A. Kurnit, A. Javan: Appl. Phys. Lett.23, 675 (1973)

    Google Scholar 

  8. G. Magerl, E. Bonek, W.A. Kreiner: Chem. Phys. Lett.52, 473 (1977)

    Google Scholar 

  9. A. Szabo: Phys. Rev. B.11, 4512 (1975)

    Google Scholar 

  10. L.E. Erickson: Phys. Rev. B16, 4731 (1977)

    Google Scholar 

  11. J.J. Snyder, R.K. Raj, D. Bloch, M. Ducloy: Opt. Lett.5, 163 (1980)

    Google Scholar 

  12. R.K. Raj, D. Bloch, J.J. Snyder, G. Camy, M. Ducloy: Phys. Rev. Lett.44, 1251 (1980)

    Google Scholar 

  13. D. Bloch, M. Ducloy, E. Giacobino: J. Phys. B14, L819 (1981)

    Google Scholar 

  14. M. Ducloy, D. Bloch: J. Phys. (Paris)43, 57 (1982)

    Google Scholar 

  15. E.D. Hinkley, P.L. Kelley. Science171, 635 (1971)

    Google Scholar 

  16. C.L. Tang, J.M. Telle: J. Appl. Phys.45, 4503 (1974)

    Google Scholar 

  17. S.E. Harris, M.K. Oshman, B.J. McMurtry, E.O. Ammann. Appl. Phys. Lett.7, 185 (1975)

    Google Scholar 

  18. G.C. Bjorklund, M.D. Levenson: Phys. Rev. A24, 166 (1981)

    Google Scholar 

  19. G.C. Bjorklund, W. Lenth, M.D. Levenson, C. Ortiz: SPIE286, 153 (1981)

    Google Scholar 

  20. 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. 15

    Google Scholar 

  21. W. Lenth, C. Ortiz, G.C. Bjorklund: Opt. Lett.6, 351 (1981)

    Google Scholar 

  22. 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. 389

    Google Scholar 

  23. W. Lenth, G.C. Bjorklund, C. Ortiz: InProc. of the Lasers '81 Conference, New Orleans, Lousiana (in press)

  24. W. Zapka, P. Pokrowsky, F.M. Schellenberg, G.C. Bjorklund: Opt. Commun.44, 117 (1982)

    Google Scholar 

  25. W. Zapka, M.D. Levenson, F.M. Schellenberg, A.C. Tam, G.C. Bjorklund: Opt. Lett.8, 27 (1983)

    Google Scholar 

  26. M.D. Levenson, W.E. Moerner, D.E. Horne: Opt. Lett.8, 108 (1983)

    Google Scholar 

  27. P. Pokrowsky, E.A. Whittaker, G.C. Bjorklund: Opt. Commun.45, 196 (1983)

    Google Scholar 

  28. E.A. Whittaker, P. Pokrowsky, W. Zapka, K. Roche, G.C. Bjorklund: J. Quant. Spectrosc. Radiat. Transf.30 (1983, in press)

  29. G.S. Agarwal: Phys. Rev. A,23, 1375 (1981)

    Google Scholar 

  30. A. Schenzle, R.G. De Voe, R.G. Brewer: Phys. Rev. A25, 2606 (1982)

    Google Scholar 

  31. J.H. Shirley: Opt. Lett.7, 537 (1982)

    Google Scholar 

  32. E.A. Whittaker, G.C. Bjorklund: Paper FG1, Conference on Lasers and Electro-Optics, May 17–20, 1983, Baltimore, Maryland

  33. G.A. Sanders, M.G. Prentiss, S. Ezekiel: Opt. Lett.6, 569 (1981)

    Google Scholar 

  34. R.G. De Voe, R.G. Brewer: Phys. Rev. Lett.50, 1269 (1983)

    Google Scholar 

  35. R.G. De Voe, R.G. Brewer: Phys. Rev. A26, 705 (1982)

    Google Scholar 

  36. 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. W. Lenth et al.: To be published

  38. T.F. Gallagher, R. Kachru, F. Gounand, G.C. Bjorklund, W. Lenth: Opt. Lett.7, 28 (1982)

    Google Scholar 

  39. N.H. Tran, R. Kachru, T.F. Gallagher, J.P. Watjen, G.C. Bjorklund: Opt. Lett.8, 157 (1983)

    Google Scholar 

  40. E.A. Whittaker, H.R. Wendt, H. Hunziker, G.C. Bjorklund: To be published

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Bjorklund, G.C., Levenson, M.D., Lenth, W. et al. Frequency modulation (FM) spectroscopy. Appl. Phys. B 32, 145–152 (1983). https://doi.org/10.1007/BF00688820

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