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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 10 — Oct. 1, 2012
  • pp: 2734–2740

Optical frequency metrology with an Rb-stabilized ring-cavity resonator—study of cavity-dispersion errors

Alok K. Singh, Lal Muanzuala, Atanu K. Mohanty, and Vasant Natarajan  »View Author Affiliations

JOSA B, Vol. 29, Issue 10, pp. 2734-2740 (2012)

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We have developed a technique to measure the absolute frequencies of optical transitions by using an evacuated Rb-stabilized ring-cavity resonator as a transfer cavity. The absolute frequency of the Rb D 2 line (at 780 nm) used to stabilize the cavity is known and allows us to determine the absolute value of the unknown frequency. We study wavelength-dependent errors due to dispersion at the cavity mirrors by measuring the frequency of the same transition in the Cs D 2 line (at 852 nm) at three cavity lengths. The spread in the values shows that dispersion errors are below 30 kHz, corresponding to a relative precision of 10 10 . We give an explanation for reduced dispersion errors in the ring-cavity geometry by calculating errors due to the lateral shift and the phase shift at the mirrors, and show that they are roughly equal but occur with opposite signs. We have earlier shown that diffraction errors (due to Guoy phase) are negligible in the ring-cavity geometry compared to a linear cavity; the reduced dispersion error is another advantage. Our values are consistent with measurements of the same transition using the more expensive frequency-comb technique. Our simpler method is ideally suited for measuring hyperfine structure, fine structure, and isotope shifts, up to several hundreds of gigahertz.

© 2012 Optical Society of America

OCIS Codes
(020.2930) Atomic and molecular physics : Hyperfine structure
(120.3940) Instrumentation, measurement, and metrology : Metrology
(140.4780) Lasers and laser optics : Optical resonators
(230.5750) Optical devices : Resonators

ToC Category:
Optical Devices

Original Manuscript: April 17, 2012
Revised Manuscript: August 3, 2012
Manuscript Accepted: August 9, 2012
Published: September 12, 2012

Alok K. Singh, Lal Muanzuala, Atanu K. Mohanty, and Vasant Natarajan, "Optical frequency metrology with an Rb-stabilized ring-cavity resonator—study of cavity-dispersion errors," J. Opt. Soc. Am. B 29, 2734-2740 (2012)

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  1. J. L. Hall, “Nobel lecture: defining and measuring optical frequencies,” Rev. Mod. Phys. 78, 1279–1295 (2006). [CrossRef]
  2. T. W. Hänsch, “Nobel lecture: passion for precision,” Rev. Mod. Phys. 78, 1297–1309 (2006), and the references therein. [CrossRef]
  3. T. W. Hänsch, M. H. Nayfeh, S. A. Lee, S. M. Curry, and I. S. Shahin, “Precision measurement of the Rydberg constant by laser saturation spectroscopy of the Balmer α line in hydrogen and deuterium,” Phys. Rev. Lett. 32, 1336–1340(1974). [CrossRef]
  4. J. C. Garreau, M. Allegrini, L. Julien, and F. Biraben, “High resolution spectroscopy of the hydrogen atom—III. Wavelength comparison and Rydberg constant determination,” J. Phys. 51, 2293–2306 (1990). [CrossRef]
  5. A. Banerjee, D. Das, and V. Natarajan, “Precise frequency measurements of atomic transitions by use of a Rb-stabilized resonator,” Opt. Lett. 28, 1579–1581 (2003). [CrossRef]
  6. A. Banerjee, D. Das, and V. Natarajan, “Absolute frequency measurements of the D1 lines in K39, Rb85, and Rb87 with ∼0.1  ppb uncertainty,” Europhys. Lett. 65, 172–178 (2004). [CrossRef]
  7. D. Das, A. Banerjee, S. Barthwal, and V. Natarajan, “A rubidium-stabilized ring-cavity resonator for optical frequency metrology: precise measurement of the D1 line in Cs133,” Eur. Phys. J. D 38, 545–552 (2006). [CrossRef]
  8. J. Ye, S. Swartz, P. Jungner, and J. L. Hall, “Hyperfine structure and absolute frequency of the Rb875P3/2 state,” Opt. Lett. 21, 1280–1282 (1996). [CrossRef]
  9. A. Banerjee, U. D. Rapol, D. Das, A. Krishna, and V. Natarajan, “Precise measurements of UV atomic lines: Hhyperfine structure and isotope shifts in the 398.8 nm line of Yb,” Europhys. Lett. 63, 340–346 (2003). [CrossRef]
  10. D. Das and V. Natarajan, “Absolute frequency measurement of the lithium D lines: precise determination of isotope shifts and fine-structure intervals,” Phys. Rev. A 75, 052508(2007). [CrossRef]
  11. K. Pandey, A. K. Singh, P. V. K. Kumar, M. V. Suryanarayana, and V. Natarajan, “Isotope shifts and hyperfine structure in the 555.8 nm S10→P31 line of Yb,” Phys. Rev. A 80, 022518(2009). [CrossRef]
  12. A. Banerjee, U. D. Rapol, A. Wasan, and V. Natarajan, “High-accuracy wavemeter based on a stabilized diode laser,” Appl. Phys. Lett. 79, 2139–2141 (2001). [CrossRef]
  13. H. Kogelnik and T. Li, “Laser beams and resonators,” Appl. Opt. 5, 1550–1567 (1966). [CrossRef]
  14. E. Arimondo, M. Inguscio, and P. Violino, “Experimental determinations of the hyperfine structures in the alkali atoms,” Rev. Mod. Phys. 49, 31–75 (1977). [CrossRef]
  15. T. Udem, J. Reichert, T. W. Hänsch, and M. Kourogi, “Absolute optical frequency measurement of the cesium D2 line,” Phys. Rev. A 62, 031801 (2000). [CrossRef]
  16. R. Grimm and J. Mlynek, “The effect of resonant light pressure in saturation spectroscopy,” Appl. Phys. B 49, 179–189 (1989). [CrossRef]
  17. G. A. Noble, B. E. Schultz, H. Ming, and W. A. van Wijngaarden, “Isotope shifts and fine structures of Li6,7 D lines and determination of the relative nuclear charge radius,” Phys. Rev. A 74, 012502 (2006). [CrossRef]
  18. A. K. Singh and V. Natarajan, “Observation of the nuclear magnetic octupole moment of Yb173 from precise measurements of hyperfine structure in the P32 state,” arXiv:1206.1663v1 [physics.atom-ph] (2012).

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