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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 25, Iss. 7 — Jul. 1, 2008
  • pp: 1144–1155

Theoretical description of Doppler-broadened noise-immune cavity-enhanced optical heterodyne molecular spectroscopy under optically saturated conditions

Weiguang Ma, Aleksandra Foltynowicz, and Ove Axner  »View Author Affiliations


JOSA B, Vol. 25, Issue 7, pp. 1144-1155 (2008)
http://dx.doi.org/10.1364/JOSAB.25.001144


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Abstract

A theoretical description of Doppler-broadened noise-immune cavity-enhanced optical heterodyne molecular spectroscopy (NICE-OHMS) under optically saturated conditions is presented. Expressions for the strength and shape of the Doppler-broadened NICE-OHMS signals are given for both the absorption and the dispersion phase, in the Voigt regime as well as in the Doppler limit. It is shown that Doppler-broadened NICE-OHMS is affected less by optical saturation than other cavity-enhanced techniques; in the Doppler limit the absorption signal decreases by a factor of ( 1 + G ± 1 ) 1 2 , where G ± 1 is the degree of saturation for one of the frequency modulation sidebands, whereas the dispersion signal is virtually unaffected by optical saturation. In the Voigt regime both signals show additional dependence on optical saturation. The concept of saturation-insensitive detection is introduced and its conditions are identified.

© 2008 Optical Society of America

OCIS Codes
(300.1030) Spectroscopy : Absorption
(300.6310) Spectroscopy : Spectroscopy, heterodyne
(300.6380) Spectroscopy : Spectroscopy, modulation

ToC Category:
Spectroscopy

History
Original Manuscript: January 10, 2008
Revised Manuscript: April 29, 2008
Manuscript Accepted: April 30, 2008
Published: June 24, 2008

Citation
Weiguang Ma, Aleksandra Foltynowicz, and Ove Axner, "Theoretical description of Doppler-broadened noise-immune cavity-enhanced optical heterodyne molecular spectroscopy under optically saturated conditions," J. Opt. Soc. Am. B 25, 1144-1155 (2008)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-25-7-1144


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References

  1. J. Ye, L. S. Ma, and J. L. Hall, “Sub-Doppler optical frequency reference at 1.064μm by means of ultrasensitive cavity-enhanced frequency modulation spectroscopy of a C2HD overtone transition,” Opt. Lett. 21, 1000-1002 (1996). [CrossRef] [PubMed]
  2. J. Ye, L. S. Ma, and J. L. Hall, “Ultrastable optical frequency reference at 1.064μm using a C2HD molecular overtone transition,” IEEE Trans. Instrum. Meas. 46, 178-182 (1997). [CrossRef]
  3. J. Ye, L. S. Ma, and J. L. Hall, “Ultrasensitive detections in atomic and molecular physics: Demonstration in molecular overtone spectroscopy,” J. Opt. Soc. Am. B 15, 6-15 (1998). [CrossRef]
  4. L. S. Ma, J. Ye, P. Dube, and J. L. Hall, “Ultrasensitive frequency-modulation spectroscopy enhanced by a high-finesse optical cavity: Theory and application to overtone transitions of C2H2 and C2HD,” J. Opt. Soc. Am. B 16, 2255-2268 (1999). [CrossRef]
  5. L. Gianfrani, R. W. Fox, and L. Hollberg, “Cavity-enhanced absorption spectroscopy of molecular oxygen,” J. Opt. Soc. Am. B 16, 2247-2254 (1999). [CrossRef]
  6. C. Ishibashi and H. Sasada, “Highly sensitive cavity-enhanced sub-Doppler spectroscopy of a molecular overtone band with a 1.66μm tunable diode laser,” Jpn. J. Appl. Phys., Part 1 38, 920-922 (1999). [CrossRef]
  7. J. Bood, A. McIlroy, and D. L. Osborn, “Cavity-enhanced frequency modulation absorption spectroscopy of the sixth overtone band of nitric oxide,” Proc. SPIE 4962, 89-100 (2003). [CrossRef]
  8. M. S. Taubman, T. L. Myers, B. D. Cannon, and R. M. Williams, “Stabilization, injection and control of quantum cascade lasers, and their application to chemical sensing in the infrared,” Spectrochim. Acta, Part A 60, 3457-3468 (2004). [CrossRef]
  9. N. J. van Leeuwen and A. C. Wilson, “Measurement of pressure-broadened, ultraweak transitions with noise-immune cavity-enhanced optical heterodyne molecular spectroscopy,” J. Opt. Soc. Am. B 21, 1713-1721 (2004). [CrossRef]
  10. N. J. van Leeuwen, H. G. Kjaergaard, D. L. Howard, and A. C. Wilson, “Measurement of ultraweak transitions in the visible region of molecular oxygen,” J. Mol. Spectrosc. 228, 83-91 (2004). [CrossRef]
  11. J. Bood, A. McIlroy, and D. L. Osborn, “Measurement of the sixth overtone band of nitric oxide, and its dipole moment function, using cavity-enhanced frequency modulation spectroscopy,” J. Chem. Phys. 124, 084311 (2006). [CrossRef] [PubMed]
  12. F. M. Schmidt, A. Foltynowicz, W. Ma, and O. Axner, “Fiber-laser-based noise-immune cavity-enhanced optical heterodyne molecular spectrometry for Doppler-broadened detection of C2H2 in the parts per trillion range,” J. Opt. Soc. Am. B 24, 1392-1405 (2007). [CrossRef]
  13. F. M. Schmidt, A. Foltynowicz, W. Ma, T. Lock, and O. Axner, “Doppler-broadened fiber-laser-based NICE-OHMS--improved detectability,” Opt. Express 15, 10822-10831 (2007). [CrossRef] [PubMed]
  14. A. Foltynowicz, F. M. Schmidt, W. Ma, and O. Axner, “Noise-immune cavity-enhanced optical heterodyne molecular spectroscopy: Current status and future potential,” (accepted for publication in Appl. Phys. B).
  15. J. Ye, “Ultrasensitive high resolution laser spectroscopy and its application to optical frequency standards,” Ph.D. dissertation (University of Colorado, 1997).
  16. A. Foltynowicz, W. Ma, F. M. Schmidt, and O. Axner, “Doppler-broadened noise-immune cavity-enhanced optical heterodyne molecular spectroscopy signals from optically saturated transitions under low pressure conditions,”J. Opt. Soc. Am. B 25, 1156-1165 (2008). [CrossRef]
  17. We have, for clarity, represented complex entities with a tilde, e.g., Ẽ(ωc,t), and used cc to denote complex conjugate.
  18. G. C. Bjorklund, M. D. Levenson, W. Lenth, and C. Oritz, “Frequency modulation (FM) spectroscopy: Theory of lineshapes and signal-to-noise analysis,” Appl. Phys. B 32, 145-152 (1983). [CrossRef]
  19. O. Axner, W. Ma, and A. Foltynowicz, “Sub-Doppler dispersion and noise-immune cavity-enhanced optical heterodyne molecular spectroscopy revised,” J. Opt. Soc. Am. B 25, 1166-1177 (2008). [CrossRef]
  20. This expression is valid for small intracavity absorption (∣δ0−δ±1∣ and ∣ϕ0−ϕ±1∣≪1) and small modulation index (so that terms of the order of β2 can be neglected).
  21. P. W. Milonni and J. H. Eberly, Lasers (Wiley, 1988).
  22. Since the mode Ẽ−1(z,t) is fully out of phase with Ẽ0(z,t) and Ẽ1(z,t) (in the absence of absorbers), the factor Jj(β)/J∣j∣(β), which is equal to the sign of the mode number, i.e., 1 for j=0 and 1, and −1 for j=−1, has been included in the ansatz for ρ̃21,j for symmetry reasons.
  23. M. Sargent III, M. Scully, and W. E. Lamb, Jr., Laser Physics (Addison-Wesley, 1974).
  24. C. J. Borde, J. L. Hall, C. V. Kunasz, and D. G. Hummer, “Saturation absorption line shape: Calculation of the transit-time broadening by a perturbation approach,” Phys. Rev. A 14, 236-263 (1975). [CrossRef]
  25. J. Ye and T. W. Lynn, “Applications of optical cavities in modern atomic, molecular, and optical physics,” in Advances in Atomic, Molecular, and Optical Physics (Academic, 2003), pp. 1-83.
  26. R. Loudon, The Quantum Theory of Light, 3rd ed. (Oxford U. Press, 2000).
  27. L. S. Rothman, C. P. Rinsland, A. Goldman, S. T. Massie, D. P. Edwards, J. M. Flaud, A. Perrin, C. Camy-Peyret, V. Dana, J. Y. Mandin, J. Schroeder, A. McCann, R. R. Gamache, R. B. Wattson, K. Yoshino, K. V. Chance, K. W. Jucks, L. R. Brown, V. Nemtchinov, and P. Varanasi, “The HITRAN molecular spectroscopic database and HAWKS (HITRAN Atmospheric Workstation): 1996 edition,”J. Quant. Spectrosc. Radiat. Transf. 60, 665-710 (1998). [CrossRef]
  28. H. A. Kramers, “La diffusion de la lumière par les atomes,” Atti. Congr. Int. Fis. Como. 2, 545-557 (1927).
  29. R. L. Kronig, “On the theory of dispersion of X-rays,” J. Opt. Soc. Am. Rev. Sci. Instrum. 12, 545-557 (1926).

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