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Jin C, He Y, Tang Y, et al. Spatial mismatch calibration method for simultaneous slightly off-axis digital holographic microscopy system[J]. Opto-Electron Eng, 2022, 49(9): 220047. doi: 10.12086/oee.2022.220047
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Spatial mismatch calibration method for simultaneous slightly off-axis digital holographic microscopy system
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Abstract
The existing spatial mismatch calibration methods can only achieve pixel-level calibration accuracy due to the limitation of principle, and are easily disturbed by the environmental noise. In this paper, a spatial mismatch calibration method for a sub-pixel-level simultaneous slightly off-axis digital holographic microscope system is proposed. In the modeling, the method not only analyzes the lateral position error caused by the image segmentation, but also further considers the longitudinal position error caused by the sensor tilt, and summarizes the calibration process as a nonlinear multi-variable optimization problem. In this paper, the particle swarm optimization algorithm is used to solve this optimization problem because of its simple structure, high convergence efficiency, and strong global search ability. In the calibration process, a phase-only wavefront based on the phase aberration is established, and the root mean square error of the phase-only wavefront is used as the target function to remove the influence of noise on the calibration accuracy. Simulation results show that the proposed method has sub-pixel accuracy, and experiment demonstrates the effectiveness of the method in the practical systems. -
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References
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Overview
With the development of computer and sensor technology, digital holography technology inherited from the traditional optical holography has entered the practical stage. The photo-electric sensor is used to record the hologram formed by the interference of the reference wave and the object wave, and then the complex amplitude of the object wave is recovered in the computer. The advantages of fast, large field of view, non-contact, and high-precision make it a powerful tool in microbial detection, micro-component measurement, particle tracking, and vibration monitoring.
In recent years, slightly off-axis digital holography which combines the advantages of off-axis and on-axis has been vigorously developed. In order to further improve its real-time performance, a synchronous slightly off-axis system based on the field of view (FOV) multiplexing technique has been applied. However, the spatial position of the holograms collected by this technology is unknown, which causes a spatial mismatch problem. In order to ensure the accuracy of the subsequent holographic reconstruction, it is necessary to perform a spatial mismatch calibration. The existing calibration methods can be roughly divided into: intensity-based calibration methods and phase-based calibration methods. Intensity-based calibration methods are susceptible to environmental noise, and phase-based calibration methods only have pixel-level accuracy. At the same time, none of the existing methods take into account the longitudinal position error caused by the sensor tilt.
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Jin C, He Y, Tang Y, et al. Spatial mismatch calibration method for simultaneous slightly off-axis digital holographic microscopy system[J]. Opto-Electron Eng, 2022, 49(9): 220047. doi: 10.12086/oee.2022.220047
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Figure 1.
Optical setup of the parallel phase-shifting SODHM system
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Figure 2.
The generation principle of spatial relative position errors. (a) The longitudinal position error; (b) The transverse position error
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Figure 3.
The position relationship of holograms
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Figure 4.
The flow of proposed calibration method
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Figure 5.
The whole flow of LDW-PSO algorithm
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Figure 6.
Simulation input. (a) Simulated phase aberration; (b) Simulated π/2 phase shifting off-axis holograms without samples
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Figure 7.
Simulation results. (a) RMSE convergence curve of phase distribution based on LDW-PSO; (b) The whole phase difference distribution after calibration using the method proposed in this paper; (c) The whole phase difference distribution after calibration using PPC method
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Figure 8.
Holograms collected by the experimental system. (a) The off-axis hologram without sample; (b) The slightly off-axis holograms with sample
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Figure 10.
Experimental results. (a) The RMSE convergence curve of phase distribution based on LDW-PSO; (b) The entire phase difference distribution after calibration; (c) The phase distribution of reconstructed sample; (d) The outline of the white line marked in Figure 10(c)
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Figure 9.
Profile of the sample measured by the profilometer
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