The traditional methods of measuring refractive index have their unique value and advantages. In order to study the properties of materials and the application of multi-wavelength laser interferometer, a new method of measuring refractive index and dispersion of materials is proposed. The multi-wavelength laser interferometer is designed and built based on the principle of the Fizeau interferometer. It integrates five kinds of laser bands with a wide coverage range through a splitting prism, and can quickly change the measurement wavelength during remeasurement and improve the detection efficiency. In order to further verify the refractive index measurement method, a parallel plate is taken as an example to measure the refractive index. The multi-wavelength laser interferometer combined with variable wavelength standard spherical mirror is used to measure the displacement of ray focus in the case of parallel plate or not, and the refractive index of parallel plate is calculated by geometric optics. The refractive index corresponding to each wavelength is measured, and the refractive index curve of the parallel plate material is calculated by Conrady formula and ACF formula by fitting polynomial method using the measured data, and then the dispersion coefficient of the material can be calculated. The comparison results show that the ACF formula can be used to calculate the refractive index of materials accurately in a larger band range. The experimental results also show that the multi-wavelength laser interferometer has the advantage of measuring multi-wavelength transmission wavefront and can also play a role in more measurement applications.
The equal optical path interferometer is a modified type of measuring device, which is used to improve the quality of interferences between multiple surfaces. In some cases, this modified kind of interferometer can polish the quality of images by bettering the character of interferences between multiple surfaces, which can not be ignored in traditional interferometers, such as the Fizeau interferometer and the Twyman Green interferometer. This paper mainly introduces the basic principles of equal optical path interferometer, and we carry out a series of simulations and do some analyses of equal optical path interferometer, in order to get a better solution. The main characteristic of equal optical path interferometer is equal optical path, which is realized by the inclinations of the reference lens and the beam splitting lens. There is a certain relationship between the inclination of the reference lens and the beam splitting lens. We use MATLAB and C language to simulate the relationships between mechanisms of it, and find out the influence weights and boundary conditions of each mechanism on the overall structure. Then according to the relationships between various mechanisms, the relatively good relations and structures are obtained, which are convenient for the realization of the actual experimental verification. According to the calculated results, we use Zemax to simulate and optimize them, and get the theoretical results of the experiment. Based on the theory-based calculations and simulations, we confirm that the equal optical path interferometer has the possibility of practical implementation, and the theory has a certain guiding significance for the experimental verification.
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