随机波导中的鬼成像模态
A ghost imaging modality in a random waveguide
摘要:
本文研究了可穿透散射体(又称目标)在具有随机扰动边界的波导中的成像。该目标位于一个部分相干的源,其传输的波,和一个检测器,其测量的波的空间积分的能量通量。成像受到随波传播而累积的随机边界散射效应的阻碍。我们考虑一个非常大的距离(范围)之间的目标和检测器,累积散射是如此之强,它均匀地分布在波的组件(模式)的能量。常规成像在这种均分状态下是不可能的。尽管如此,我们表明可以通过重影成像方式定位目标。这使用在探测器的孔径上积分的测量的能通量与在搜索范围处的参考波导中的时间和空间分辨的能通量的互相关来形成图像。我们考虑两个参考波导:未扰动边界的波导,我们可以计算的能量通量,和实际的随机波导,在目标的存在,其中的能量通量应被测量之前。我们分析了鬼成像模态的第一原理,并表明它可以是有效的随机波导几何形状中,有两个强大的模式色散和模式耦合引起的散射,提供了标准的鬼成像功能进行修改和集成在一个合适的时间偏移窗口,以补偿色散和扩散。该分析量化的源和检测器孔径,源和目标之间的距离偏移,和测量的持续时间方面的图像的分辨率。
英文摘要:
We study the imaging of a penetrable scatterer, aka target, in a waveguide with randomly perturbed boundary. The target is located between a partially coherent source which transmits the wave, and a detector which measures the spatially integrated energy flux of the wave. The imaging is impeded by random boundary scattering effects that accumulate as the wave propagates. We consider a very large distance (range) between the target and the detector, where that cumulative scattering is so strong that it distributes the energy evenly among the components (modes) of the wave. Conventional imaging is impossible in this equipartition regime. Nevertheless, we show that the target can be located with a ghost imaging modality. This forms an image using the cross-correlation of the measured energy flux, integrated over the aperture of the detector, with the time and space resolved energy flux in a reference waveguide, at the search range. We consider two reference waveguides: The waveguide with unperturbed boundary, in which we can calculate the energy flux, and the actual random waveguide, before the presence of the target, in which the energy flux should be measured. We analyze the ghost imaging modality from first principles and show that it can be efficient in a random waveguide geometry in which there is both strong modal dispersion and mode coupling induced by scattering, provided that the standard ghost imaging function is modified and integrated over a suitable time offset window in order to compensate for dispersion and diffusion. The analysis quantifies the resolution of the image in terms of the source and detector aperture, the range offset between the source and the target, and the duration of the measurements.
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