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电磁全息测量数据包含两种模态,因此重建流动图像也需采用“双模”融合的敏感场。首先,通过电磁全息探测物理场分析,结合层析成像数学理论Radon反变换,从定解问题推导了全息测量敏感场函数表达式。其次,将有限元仿真计算得到的全息测量敏感场应用于模拟流动试验和全息成像。结果表明,基于复电位φ关于极径r的偏导数的全息测量敏感场契合了Radon反变换的数学表达,且充分体现了幅度、相位测量敏感性;反演所得流动图像更加吻合实际流型。全息测量敏感场构建有效克服了传统单模敏感场在计算精度和计算效率等方面的局限性。
The electromagnetic holographic measurement data contains two modalities, so the reconstructed flow images also need to adopt the sensitive field of “dual mode” fusion. Firstly, the expression of the sensitive field function of holographic measurement is deduced from the problem of fixed solution through the electromagnetic holographic sounding physical field analysis combined with Radon inverse transform of tomography mathematical theory. Secondly, the holographic measurement sensitivity field calculated by finite element simulation is applied to the simulation of flow test and holographic imaging. The results show that the sensitivity field of holographic measurement based on the partial derivative φ with respect to the polar radius r conforms to the mathematical expression of Radon inverse transform and fully reflects the sensitivity of amplitude and phase measurement. The inverted flow image is more in line with the actual flow pattern. The construction of holographic measurement sensitive field can effectively overcome the limitations of traditional single-mode sensitive field in terms of calculation accuracy and computational efficiency.