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The relationship between methane concentration and second-harmonic output of a particular optical methane-detection system is derived. The system uses a broadband source and a comb filter with its transmission peaks matched to the R-branch absorption lines of methane. An optimal modulation index is obtained, and a noise-limited detection resolution of 0.02% lower explosive level (3-s time constant) is estimated.
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Jin et al. (1993) studied this question.
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