存在测量噪声和介质噪声的非线性谐波全息后向传播成像
Backpropagation Imaging in Nonlinear Harmonic Holography in the Presence of Measurement and Medium Noises
摘要：
本文研究了利用二次谐波探测随机非均匀介质中的小反射面。介质由频率为ω的时谐平面波照射。假设反射器具有非零的二阶非线性极化率，因此除了基频线性散射之外，还发射频率为2 Ω的波。它示出了基频信号和二次谐波信号如何在介质中传播。通过迁移边界数据获得的图像的统计研究进行。它被证明是更稳定的二次谐波图像相对于介质噪声比一个获得的基本信号。此外，二次谐波图像的信噪比既不依赖于二阶磁化率张量，也不依赖于粒子的体积。
英文摘要：
In this paper, the detection of a small reflector in a randomly heterogenous medium using second-harmonic generation is investigated. The medium is illuminated by a time-harmonic plane wave at frequency omega. It is assumed that the reflector has a non-zero second-order nonlinear susceptibility, and thus emits a wave at frequency two omega in addition to the fundamental frequency linear scattering. It is shown how the fundamental frequency signal and the second-harmonic signal propagate in the medium. A statistical study of the images obtained by migrating the boundary data is performed. It is proved that the second-harmonic image is more stable with respect to medium noise than the one obtained with the fundamental signal. Moreover, the signal-to-noise ratio for the second-harmonic image does not depend neither on the second-order susceptibility tensor nor on the volume of the particle.
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