Parallel plates are commonly used as optical transmission elements. Their main optical parameters include the optical homogeneity, optical thickness, and surface shape. If the optical parameters are not consistent, the transmissive wavefront will be changed, and the performance of the optical system will be reduced. Herein, a weighted multi-step phase-shifting algorithm is developed. The algorithm can measure the optical parameters with high accuracy based on wavelength tuning interferometry, and extracts the phase at the target frequency by weighting the sampling values. Both the simulated and experimental results show that the algorithm can suppress high-order harmonics and is insensitive to the phase-shifting errors caused by nonlinear wavelength tuning and coupling errors between phase-shifting and harmonic errors. Moreover, the algorithm requires fewer interferograms, improves the fringe contrast, and has a high detection efficiency. It is suitable for high-precision parallel plate optical parameter measurements.
When the optical homogeneity of parallel plates is measured using wavelength phase shifting interferometers, the nonlinearity of phase shifts caused by nonlinear wavelength tuning results in spectrum aliasing, and thus the optical homogeneity cannot be obtained accurately. We propose a nonuniform fast Fourier transform algorithm based on low-rank approximation and Taylor expansion (LRTE-NUFFT) to solve the problem. The principle of the LRTE-NUFFT method is introduced and compared with the FFT method and the nonuniform fast Fourier transform algorithm based on fast Gauss gridding (FGG-NUFFT) method proposed earlier through simulations and experiments. The results show that LRTE-NUFFT can improve the accuracy of the optical homogeneity measurement of parallel plates compared with the FFT method, and it can also improve the computational efficiency compared with the FGG-NUFFT method.
Researching the combustion process is important core contents in aviation, aerospace and energy engineering. And it has an important significance for the combustion researches to measure the physics parameters by combustion diagnosis and to acquire the 3D transient combustion distribution. Optical computerized tomography (OCT) applied in combustion diagnosis plays an important role in flow field diagnosis for its advantages of non-contact, real time, and 3D full-field measurements. The essence of CT is reconstructing the test field with projections from different directions. And the projections are independent to each other. Therefore, a multi-direction projections calibration should be performed before CT reconstruction, which can remap different projections to a unified coordinate to reduce the system errors from the installations and optical elements. Aiming at this problem, in this project, a multi-direction calibration method based on affine projection is proposed. By studying the affine projection theory, the calibration model was build based on single directional moiré tomographic system. Furthermore, the corresponding algorithm based on the calibration model is proposed. Finally, a multi-directional moiré tomographic system is built and combining with the calibration results for remapping the multi-directional projections, the 3D temperature distribution of the propane combustion flame was reconstructed.
A lot of optical components with large aperture are employed in high-power solid-state laser driver. These optical components are with high requirement on the surface shape, optical homogeneity and stress distribution. In order to test these parameters, different types of interferometers, surface profilers and stress meters from different manufacturers are needed. But the problem is the products from different manufacturers may provide different test results. To solve the problem, the research and verification of the key measurement technologies of large aperture optical components are carried out in this paper. The absolute flatness and optical homogeneity measurement methods are analyzed. And the test results of different interferometric software are compared. The test results from different surface profilers and stress meters are also compared. The consistency and reliability of different test software are obtained with the comparing results, which will guide users to select a suitable product.
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