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首页> 外文期刊>IEEE Transactions on Geoscience and Remote Sensing >A Multifractal-Based Wavefront Phase Estimation Technique for Ground-Based Astronomical Observations
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A Multifractal-Based Wavefront Phase Estimation Technique for Ground-Based Astronomical Observations

机译：基于多重分形的波前相位估计技术用于地面天文观测

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摘要

Turbulence in the Earth's atmosphere interferes with the propagation of planar wavefronts from outer space, resulting in a phase-distorted nonplanar wavefront. This phase distortion is responsible for the refractive blurring of images accounting to the loss in spatial resolution power of ground-based telescopes. The technology widely used to remove this phase distortion is adaptive optics (AO). In AO, an estimate of the distorted phase is provided by a wavefront sensor (WFS) in the form of low-resolution slope measurements of the wavefront. The estimate is then used to create a corrected wavefront that (approximately) removes the phase distortion from the incoming wavefronts. Phase reconstruction from WFS measurements is done by solving large linear systems, followed by interpolating the low-resolution phase to its desired high resolution. In this paper, we propose an alternate technique to wavefront phase reconstruction using concepts derived from the microcanonical multiscale formalism, which is a specific approach to multifractality. We take into account an information of the wavefront phase, provided by the multifractal exponents. Then, through the framework of multiresolution analysis and wavelet transform, we address the problem of phase reconstruction from low-resolution WFS measurements. Comparison, in terms of reconstruction quality, with classical techniques in AO proves the superiority of our approach.
机译：地球大气中的湍流会干扰来自外太空的平面波前的传播，从而导致相位失真的非平面波前。这种相位畸变是造成图像折射模糊的原因，这是基于地面望远镜的空间分辨率能力的损失。广泛用于消除这种相位失真的技术是自适应光学（AO）。在AO中，由波前传感器（WFS）以波前低分辨率斜率测量的形式提供失真相位的估计。然后，将估计值用于创建校正后的波前，该波前（大约）可以消除入射波前的相位失真。通过求解大型线性系统，然后将低分辨率相位插值为其所需的高分辨率，可以完成WFS测量的相位重建。在本文中，我们提出了一种使用从微规范多尺度形式主义派生的概念进行波前相位重建的替代技术，这是一种处理多重分形的特殊方法。我们考虑了由多重分形指数提供的波前相位信息。然后，通过多分辨率分析和小波变换的框架，我们解决了从低分辨率WFS测量中重建相位的问题。就重建质量而言，与AO中的经典技术进行比较证明了我们方法的优越性。

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