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Off-axis reflector telescopes are mainly used in space astronomy observation and other fields. The imaging quality of off-axis two-reflection telescopes is sensitive to the lens misalignment. This makes the correction of out-of-tune telescope systems in the working environment hindered. To address this challenge, this paper proposes a method that uses the out-of-focus spot map of the system for infinity point targets and uses the Swin-Transformer network to calculate the amount of sub-mirror lateral misalignment. Through the derivation and analysis of the wavefront phase and point spread function formulas, it is pointed out that the use of a non-special location of the out-of-focus spot to avoid the focal spot can avoid the occurrence of multiple solutions so that the network can solve the system corresponding to the amount of misalignment from the spot morphology. In order to avoid the adverse effects of the special out-of-focus location, we observe the distribution range of the solution set and the pseudo-solution set through the Monte Carlo analysis method to determine whether the selected camera out-of-focus location is in a special position or not. We give the general implementation procedure of this method, according to which a reasonable amount of random transverse misalignment is applied to the simulation model secondary mirror in the simulation. The out-of-focus spot map is recorded to generate a dataset for network training. A test set is generated for validation, and the trained network can be used to estimate the amount of misalignment using one frame of the out-of-focus spot map of the misalignment system. The simulation shows that the out-of-focus amount is proportional to the correction accuracy within a certain out-of-focus range. Since this is an image-based method, we also tested the noise-resistance performance of the out-of-focus scheme with the highest accuracy. Finally, the predicted misalignment of the test sample set was verified by the experimental platform, and the mean prediction error of the eccentric misalignment was 0.0072 mm and the mean prediction error of the tilt misalignment was 0.0055° when compared with the real misalignment. The average computation time is less than 120 ms for a single computation when compared with the wavefront of the system before the misalignment. The simulation analysis and experimental results verify the effectiveness of the method, which can realize the misalignment telescope system in the working environment with high accuracy and fast correction.
Three-dimensional layout of the off-axis telescope
General implementation process of the method in this paper
Schematic diagram of the network structure
Wavefront statistics of misaligned samples. (a) Wavefront PV statistics; (b) Wavefront RMS statistics
Test sample wavefront Information Statistics. (a) Wavefront PV statistics; (b) Wavefront RMS statistics
Wavefront PV statistics after correction. (a) Sensitivity matrix method; (b) Defocus −15 mm; (c) Defocus −10 mm; (d) Defocus −5 mm
Wavefront RMS statistics after correction. (a) Sensitivity matrix method; (b) Defocus −15 mm; (c) Defocus −10 mm; (d) Defocus −5 mm
Statistics of correction results under 1% noise floor of the defocus −15 mm scheme. (a) Wavefront PV value statistics; (b) Wavefront RMS value statistics
Experimental platform
Calibration test sample
The average time-consuming of a single calculation on each hardware platform