Acoustic method for the determination of the effective temperature and refractive index of air

摘要

An acoustic method for measurement of the effective temperature and refractive index of air along a laser beam path is described. The method can be used to improve the accuracy of interferometric length measurements outside the best laboratories, and even in severe environmental conditions. The method is based on the measurement of the speed of ultrasound over the same distance measured with a laser interferometer. The effectiveness of the method derives from the fact that the relative effect of a change in air temperature is about two thousand times greater on the speed of sound than on the refractive index of air. Experimental equations for the effective temperature or refractive index of air as a function of the speed of sound, pressure, humidity and CO_2 concentration are fitted using the measured speed of sound, the Cramer equation, the dispersion correction and Edlen equations. The standard uncertainties of the effective temperature and the refractive index of air equations are estimated to be 15 mK and 1.7 * 10~(-8), respectively. The uncertainties of the effective temperature and refractive index of air measured with the test setup were 25 mK and 2.6 * 10~(-8) (for L = ～5 m), respectively.