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

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.

[1]  K. D. Tocher,et al.  Tables of Values of the Function w(z) = e -z 2 big( 1 + 2i √π z 0 e t 2 dt for Complex Argument. , 1961 .

[2]  Hugo D. Wahlquist,et al.  Modulation Broadening of Unsaturated Lorentzian Lines , 1961 .

[3]  G. Wilson,et al.  Modulation Broadening of NMR and ESR Line Shapes , 1963 .

[4]  Rolf Arndt,et al.  Analytical Line Shapes for Lorentzian Signals Broadened by Modulation , 1965 .

[5]  R. Isler Corrections for Modulation and Time-Constant Effects on Isolated Level-Crossing Signals , 1969 .

[6]  R. T. Ku,et al.  Techniques for detection of molecular pollutants by absorption of laser radiation , 1976 .

[7]  E. David Hinkley,et al.  Laser monitoring of the atmosphere , 1976 .

[8]  B K Garside,et al.  High sensitivity pollution detection employing tunable diode lasers. , 1978, Applied optics.

[9]  B K Garside,et al.  High sensitivity point monitoring of atmospheric gases employing tunable diode lasers. , 1978, Applied optics.

[10]  A Goldman,et al.  AFGL trace gas compilation. , 1978, Applied optics.

[11]  Josef Humlíček,et al.  An efficient method for evaluation of the complex probability function: The Voigt function and its derivatives , 1979 .

[12]  Low-frequency noise characteristics of Pb-salt semiconductor lasers. , 1979, Applied optics.

[13]  B K Garside,et al.  Sensitivity limits of a tunable diode laser spectrometer, with application to the detection of NO(2) at the 100-ppt level. , 1980, Applied optics.

[14]  P. Griffiths,et al.  Second Derivative Tunable Diode Laser Spectrometry for Line Profile Determination I. Theory , 1980 .

[15]  D. Labrie,et al.  Radiocarbon dating by infrared laser spectroscopy , 1981 .