Wavefront coding is a hybrid optical-digital technique proposed to increase the effective depth of focus of optical systems. The key to wavefront coding lies in the design of a suitable phase mask placed at the system's aperture to achieve the invariant imaging properties over a range of defocus. In systems limited by temporally or spatially varying aberrations the use of wavefront coding has not been yet demonstrated. Here, we propose the use of Jacobi-Fourier shaped phase masks to produce sharp and clear images for optical systems affected by random and varying aberrations. When choosing the mask, noise levels must be taken into account too. In order to illustrate the potential use of the masks we will show by experimental simulations that a Jacobi-Fourier mask can be designed to alleviate temporal varying aberrations due to atmospheric turbulences being robust to noise while keeping acceptable resolution and reducing image artifacts.

中文翻译：

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Jacobi-Fourier 相位掩模可提高波前编码光学系统的性能，以减轻随机或变化的像差

波前编码是一种混合光学数字技术，旨在增加光学系统的有效焦深。波前编码的关键在于设计一个合适的相位掩模，放置在系统的孔径处，以在一定范围的散焦上实现不变的成像特性。在受时间或空间变化像差限制的系统中，波前编码的使用尚未得到证实。在这里，我们建议使用 Jacobi-Fourier 形状的相位掩模为受随机和变化像差影响的光学系统生成清晰清晰的图像。选择面罩时，还必须考虑噪声水平。