抑制孔径间距误差影响的相干场成像质量提升方法研究

相干场成像基于激光发射孔径间距相等、频谱相等的基本假设, 迭代计算频谱重建高分辨图像, 实际应用中不可避免的激光发射孔径间距误差是影响成像质量的重要因素. 针对发射孔径间距误差造成的成像质量下降问题, 提出一种抑制孔径间距误差影响的成像质量提升方法. 首先分析了孔径间距误差对激光回波频谱和成像质量的影响机理; 推导得到了频谱误差迭代模型; 理论上构建了孔径间距误差对信号频谱和成像质量的零影响条件方程; 提出一种线性规划方法求解成像质量零影响条件方程, 得到孔径间距误差最优化分布矩阵; 实际应用中基于该最优化误差矩阵合理分配各孔径间距误差, 就可抑制孔径误差对成像质量的影响. 实验验证了该方法的正确性和有效性. 结果表明: 该方法可提升成像质量评价指标斯特列尔比近1倍; 所提方法可便捷有效地抑制孔径误差对成像质量的影响. 该研究为实际相干场系统成像质量的提升和发射阵列孔径间距精度设计提供了理论指导.

Improving coherent field imaging quality by suppressing the influence of transmitting aperture spacing error

Coherent field imaging is based on the assumption of equal transmitting apertures spacing and equal spectrum of laser, and high-resolution image is reconstructed by iteratively computing the frequency spectrum. However, the inevitable transmitting aperture spacing error of laser is a key factor to affect the coherent field imaging quality in the application. Aiming at the problem of degrading imaging quality caused by the transmitting aperture spacing error, we discuss the mechanism of influence of aperture spacing error on imaging quality and propose a novel method of improving imaging quality from the perspective of suppressing the influence of transmitting aperture spacing error. Firstly, the mechanism of the influence of aperture spacing error on imaging quality and laser echo spectrum is analyzed in detail. Then we derive a frequency spectrum error propagation model. Based on the model, the iterative effect of frequency spectrum error is investigated and the trend of variation in imaging quality with frequency spectrum error is given. We propose a theoretical equation, in which the transmitting aperture spacing error has no influence on frequency spectrum nor imaging quality. To solve the above equation, an optimized method of linear programming is proposed and the optimized matrix of aperture spacing error is obtained. In practice, the influence of aperture spacing error on imaging quality can be largely counteracted by reasonably allocating aperture spacing error according to the optimized spacing error matrix. The correctness and validity of the theoretical model are verified by a simulation experiment. The results show that the Strehl ratio of imaging quality index can be improved by about 100% through using the proposed method, the greater the aperture spacing error, the higher the Strehl ratio of imaging quality index obtained by the method will be. In addition, the method is easy to use practically and less costly as well. Finally, it is concluded that the proposed method can easily and effectively counteract the degrading effect of aperture spacing error on imaging quality. The research can provide a theoretical basis for improving imaging quality and reasonably assigning transmitter aperture spacing accuracy of coherent field imaging telescope.