In this paper, we consider imaging the reflectivity of scatterers from intensity-only data recorded by a single moving transducer that both emits and receives signals, forming a synthetic aperture. By exploiting frequency illumination diversity, we obtain multiple intensity measurements at each location, from which we determine field cross correlations using an appropriate phase controlled illumination strategy and the inner product polarization identity. The field cross correlations obtained this way do not, however, provide all the missing phase information because they are determined up to a phase that depends on the receiver's location. The main result of this paper is an algorithm with which we recover the field cross correlations up to a single phase that is common to all the data measured over the synthetic aperture, so all the data are synchronized. Thus, we can image coherently with data over all frequencies and measurement locations as if full phase information was recorded.

中文翻译：

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具有仅强度数据的合成孔径成像

在本文中，我们考虑从单个移动换能器记录的仅强度数据对散射体的反射率进行成像，该换能器既发射又接收信号，形成合成孔径。通过利用频率照明多样性，我们在每个位置获得多个强度测量，从中我们使用适当的相位控制照明策略和内积偏振恒等式确定场互相关。然而，以这种方式获得的场互相关并没有提供所有丢失的相位信息，因为它们被确定到取决于接收器位置的相位。本文的主要结果是一种算法，我们可以使用该算法将场互相关恢复到单个相位，该相位对于在合成孔径上测量的所有数据都是通用的，所以所有的数据都是同步的。因此，我们可以对所有频率和测量位置的数据进行连贯成像，就好像记录了全相位信息一样。