Abstract

The frequency shift of the light owing to a cavity length modulation has been observed with the spectroscopy of the 1S–3S two-photon transition in hydrogen. The excitation of this transition occurs at a wavelength of 205 nm. One produces this radiation by frequency doubling a 410-nm radiation in an enhancement ring cavity. The length modulation of this cavity induces frequency shifts and a splitting of the observed 1S–3S line. We obtain a good agreement between the experiment and the theoretical analysis.

© 2002 Optical Society of America

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  1. T. W. Hänsch, B. Couillaud, “Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity,” Opt. Commun. 41, 441–444 (1980).
    [CrossRef]
  2. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
    [CrossRef]
  3. S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
    [CrossRef] [PubMed]
  4. B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
    [CrossRef]
  5. S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
    [CrossRef]
  6. S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
    [CrossRef]
  7. F. Biraben, M. Bassini, B. Cagnac, “Line shapes in Doppler-free two-photon spectroscopy: the effect of finite transit time,” J. Phys. (Paris) 40, 445–455 (1979).
    [CrossRef]

2000 (1)

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

1997 (1)

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

1996 (1)

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

1993 (1)

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

1983 (1)

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

1980 (1)

T. W. Hänsch, B. Couillaud, “Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity,” Opt. Commun. 41, 441–444 (1980).
[CrossRef]

1979 (1)

F. Biraben, M. Bassini, B. Cagnac, “Line shapes in Doppler-free two-photon spectroscopy: the effect of finite transit time,” J. Phys. (Paris) 40, 445–455 (1979).
[CrossRef]

Acef, O.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

Bassini, M.

F. Biraben, M. Bassini, B. Cagnac, “Line shapes in Doppler-free two-photon spectroscopy: the effect of finite transit time,” J. Phys. (Paris) 40, 445–455 (1979).
[CrossRef]

Biraben, F.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

F. Biraben, M. Bassini, B. Cagnac, “Line shapes in Doppler-free two-photon spectroscopy: the effect of finite transit time,” J. Phys. (Paris) 40, 445–455 (1979).
[CrossRef]

Bourzeix, S.

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

Cagnac, B.

F. Biraben, M. Bassini, B. Cagnac, “Line shapes in Doppler-free two-photon spectroscopy: the effect of finite transit time,” J. Phys. (Paris) 40, 445–455 (1979).
[CrossRef]

Clairon, A.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

Couillaud, B.

T. W. Hänsch, B. Couillaud, “Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity,” Opt. Commun. 41, 441–444 (1980).
[CrossRef]

de Beauvoir, B.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

de Tomasi, F.

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

Drever, R. W. P.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Ford, G. M.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Hall, J. L.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Hänsch, T. W.

T. W. Hänsch, B. Couillaud, “Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity,” Opt. Commun. 41, 441–444 (1980).
[CrossRef]

Hilico, L.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

Hough, J.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Jozefowski, L.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

Julien, L.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

Kowalski, F. V.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Munley, A. J.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Nez, F.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

Plimmer, M. D.

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

Schwob, C.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

Stacey, D. N.

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

Ward, H.

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Zondy, J.-J.

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

Appl. Phys. B (1)

R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser phase and frequency stabilization using an optical resonator,” Appl. Phys. B 31, 97–105 (1983).
[CrossRef]

Eur. Phys. J. D (1)

B. de Beauvoir, C. Schwob, O. Acef, J.-J. Zondy, L. Jozefowski, L. Hilico, F. Nez, L. Julien, A. Clairon, F. Biraben, “Metrology of the hydrogen and deuterium atoms: determination of the Rydberg constant and Lamb shifts,” Eur. Phys. J. D 12, 61–93 (2000).
[CrossRef]

J. Phys. (Paris) (1)

F. Biraben, M. Bassini, B. Cagnac, “Line shapes in Doppler-free two-photon spectroscopy: the effect of finite transit time,” J. Phys. (Paris) 40, 445–455 (1979).
[CrossRef]

Opt. Commun. (3)

T. W. Hänsch, B. Couillaud, “Laser frequency stabilization by polarization spectroscopy of a reflecting reference cavity,” Opt. Commun. 41, 441–444 (1980).
[CrossRef]

S. Bourzeix, M. D. Plimmer, F. Nez, L. Julien, F. Biraben, “Efficient frequency doubling of a continuous wave titanium-sapphire laser in an external enhancement cavity,” Opt. Commun. 99, 89–94 (1993).
[CrossRef]

S. Bourzeix, B. de Beauvoir, F. Nez, F. de Tomasi, L. Julien, F. Biraben, “Ultra-violet light generation at 205 nm by two frequency doubling steps of a cw titanium-sapphire laser,” Opt. Commun. 133, 239–244 (1997).
[CrossRef]

Phys. Rev. Lett. (1)

S. Bourzeix, B. de Beauvoir, F. Nez, M. D. Plimmer, F. de Tomasi, L. Julien, F. Biraben, D. N. Stacey, “High resolution spectroscopy of the hydrogen atom: determination of the 1S Lamb shift,” Phys. Rev. Lett. 76, 384–387 (1996).
[CrossRef] [PubMed]

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