用强度干涉仪重建天文图像的双谱技术
Bispectral technique for reconstruction the astronomical images with an intensity interferometer
摘要:
可以对Hanbury Brown和Twiss的强度干涉仪提出一种扩展,以通过使用三阶强度相关来提供傅立叶相位测量。众所周知,只有利用物体的先验信息,才能从二阶相关中获得天文图像的干涉重建。三阶强度相关包含关于傅立叶相位的信息,并且不需要这样的假设。通常,我们可以用强度干涉仪测量二阶强度关联。我们还可以从每个距离三元组的测量强度的数据集计算三阶强度相关。然后利用双谱技术从三阶相关函数中重构出傅里叶相位。当这与从二阶强度相关获得的傅立叶幅度相结合时,我们得到了源亮度分布的最终傅立叶变换。逆傅立叶变换恢复源图像。
英文摘要:
An extension may be proposed to the intensity interferometer of Hanbury Brown and Twiss to provide the Fourier phase measurement by the use of third-order intensity correlations. It is well known that interferometric reconstruction of astronomical images can be obtained from second-order correlations only when a priory information is used about the object. The third-order intensity correlations contain information about the Fourier phase and need no such assumptions. In the ordinary way we can make measurements of the second-order intensity correlations with an intensity interferometer. We can also calculate the third-order intensity correlations from the data set of measured intensities for each distance triplet. After that we can reconstruct the Fourier phase from third-order correlations by using bipectral technique. When this is combining with the Fourier magnitude obtained from the second-order intensity correlations, we have the ultimate Fourier transform of the source brightness distribution. An inverse Fourier transform recovers the source image.
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