高吸收强度下的波长调制光谱

基于洛伦兹线型近似，研究了高吸收强度下波长调制吸收光谱中谐波信号的行为。得到了二、四、六次谐波幅度与吸收强度的关系的近似解析表达式。解析表达式的结果与数值计算得到的相符合。理论分析的结果在一个用于瓦斯传感的波长调制光谱系统上得到了验证。发现各偶次谐波随吸收强度的变化不仅有最大值还有零点，这一结论对瓦斯传感器的设计具有实际意义。

Behaviors of harmonic signals in wavelength modulation spectroscopy (WMS) for gas detection with Lorentzian line under high absorption strength are investigated. Approximate analytic expressions of the second, fourth, and sixth harmonics on the strength are presented in concise forms. Simulations show that the expressions are in agreement with the Fourier expansion by numerical integration. It is expected theoretically and experimentally in a WMS system for methane detection that there are not only a maximum, but also a null point in the harmonics versus strength relations, which should be of practical importance in methane sensing applications.