Abstract
This paper describes the characteristics of a two-color method based on the adjacent pulse repetition interval length (APRIL), which functions as a length unit for femtosecond optical frequency combs (FOFCs), and compares the results to the wavelength-based two-color method. The wavelength-based two-color method can eliminate the inhomogeneous disturbance of effects caused by the phase refractive index; therefore, the APRIL-based two-color method can eliminate the air turbulence of errors induced by the group refractive index. Our numerical analysis of the APRIL-based two-color method will contribute to the pulse-laser-based two-color method, which secures traceability to the definition of the meter via APRIL.
Highlights
The refractive index of air can significantly affect length measurements because the refractive index of air is a function of several air parameters such as temperature, pressure, humidity, and CO2 concentration
We have previously investigated length measurements that rely on adjacent pulse repetition interval length (APRIL) instead of the wavelength [22]–[25], and we find that APRIL can be used as a low-cost measurement unit [25]
We examined the wavelength-based and APRIL-based twocolor methods
Summary
The refractive index of air can significantly affect length measurements because the refractive index of air is a function of several air parameters such as temperature, pressure, humidity, and CO2 concentration. One method for correcting the lengths measured in air requires an accurate measurement of the air parameters. When the air parameters are inhomogeneously distributed in the optical path, the averaged air parameters can be measured with several sensors [1]. The inhomogeneous distribution of the refraction index can be corrected by a proposed method [2] for measuring the distance with two wavelengths (two colors) by utilizing the wavelength dependence of the refractive index of air. We examine the two-color method using APRIL and compare the properties of both wavelengthbased and APRIL-based two-color methods using numerical simulations.
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