Skip to main content
Log in

Second-harmonic detection with tunable diode lasers — Comparison of experiment and theory

  • Contributed Papers
  • Published:
Applied Physics B Aims and scope Submit manuscript

Abstract

A series of experiments are carried out by current modulating a tunable diode laser, and slowly ramping the wavelength to scan weak absorption lines in gases at pressures ranging from 2 to 60 Torr. A lock-in amplifier detects the second harmonic (2f) of the modulation frequency, and the experimental 2f signals are compared with theory. Detailed measurements are made on Lorentzian, Voigt, and Gaussian line profiles, over a wide range of modulation amplitudes. Excellent agreement between experiment and calculation is obtained in all cases. This quantitative understanding enables one to derive true lineshapes and linewidths of very weak absorption lines from measurements of 2f lineshapes only. Results are applicable to trace gas detection using tunable diode lasers, and to other areas of spectroscopy and magnetic resonance where harmonic detection techniques are routinely employed to monitor weak signals.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J.Reid, J.Shewchun, B.K.Garside, E.A.Ballik: Appl. Opt.17, 300–307 (1978)

    Google Scholar 

  2. J.Reid, B.K.Garside, J.Shewchun, M.El-Sherbiny, E.A.Ballik: Appl. Opt.17, 1806–1810 (1978)

    Google Scholar 

  3. J.Reid, M.El-Sherbiny, B.K.Garside, E.A.Ballik: Appl. Opt.19, 3349–3354 (1980)

    Google Scholar 

  4. H.Wahlquist: J. Chem. Phys.35, 1708–1710 (1961)

    Google Scholar 

  5. R.Arndt: J. Appl. Phys.36, 2522–2524 (1965)

    Google Scholar 

  6. G.V.H.Wilson: J. Appl. Phys.34, 3276–3285 (1963)

    Google Scholar 

  7. M.L.Olson, D.L.Grieble, P.R.Griffiths: Appl. Spectrosc.34, 50–56 (1980);34, 56–60 (1980)

    Google Scholar 

  8. E.D.Hinkley, R.T.Ku, P.L.Kelly: InLaser Monitoring of the Atmosphere, ed. by E.D. Hinkley, Topics Appl. Phys.14 (Springer, Berlin, Heidelberg, New York 1976) p. 237

    Google Scholar 

  9. The theory given in Sect. 1 is still a good approximation whenI 0(ν) has a small linear variation with ν [7]

  10. For convenience, we use —H 2(χ,m) to illustrate theory and experiment. This ensures that at line centre the signal is positive

  11. V.N.Faddeyeva, N.M.Terent'ev: In tables of values of the function\(w(z) = \exp ( - z^2 )\left[ {1 + \frac{{2i}}{{\sqrt \pi }}\int\limits_0^z {\exp (t^2 )dt} } \right]\) for complex argument (Pergamon Press, London 1961)

    Google Scholar 

  12. J.Humlicek: J. Quant. Spectrosc. Radiat. Transfer21, 309–313 (1978)

    Google Scholar 

  13. L.S.Rothman, S.A.Clough, R.A.McClatchey, L.G.Young, D.E.Snider, A.Goldman: Appl. Opt.17, 507 (1978)

    Google Scholar 

  14. R.C.Isler: J.Opt. Soc. Am.59, 727–733 (1969)

    Google Scholar 

  15. We convert the modulation voltageA to current modulation by using the manufacturer's specifications. m is converted to cm−1 using the known SO2 linewidth [13]

  16. R.S.Eng, A.W.Mantz, T.R.Todd: Appl. Opt.18, 1088–1091 (1979)

    Google Scholar 

  17. D.Labrie, J.Reid: Appl. Phys.24, 381–386 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was supported in part by the National Science and Engineering Research Council, Canada

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reid, J., Labrie, D. Second-harmonic detection with tunable diode lasers — Comparison of experiment and theory. Appl. Phys. B 26, 203–210 (1981). https://doi.org/10.1007/BF00692448

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00692448

PACS

Navigation