论文标题
远场完美成像,随时间调制光栅
Far-field Perfect Imaging with Time Modulated Gratings
论文作者
论文摘要
我们研究了时间调节的衍射光栅作为成像设备的功能。结果表明,由于所有evaneScent Modes夫妇都可以繁殖时间划分的顺序,因此可以使用时间依赖但横向同质的平板来制作对象的完美图像。发现,如果要获得的图像在轴向对称性上,则可以通过在单点测量时间信号来恢复,而无需进行空间扫描,以便时间光栅可以像单像素成像设备一样起作用。在没有轴向对称的对象的情况下,可以将时间粒度与空间光栅结合在一起,然后可以通过单个点的测量再次恢复完整图像。我们将压缩感传感理论应用于优化恢复方法,并提供了数值示例。因此,我们表明,时间调节的光栅可用于完美恢复远场中对象的图像,并在空间中的单个点进行测量之后,因此是一种有希望的超级固体方法和超快速成像的方法。
We study the capabilities of time-modulated diffraction gratings as imaging devices. It is shown that a time-dependent but transversally homogeneous slab can be used to make a perfect image of an object in the far-field, since all the evanescent modes couple to propagative time-diffracted orders. It is found that, if the image to be obtained is axially symmetric, it can be recovered by measuring the time-signal at a single point, without the need of performing a spatial scan, so that time gratings can act as well as single-pixel imaging devices. In the case of having an object without axial symmetry, the time-grating can be combined with a spatial grating, and then the full image can be recovered again with a measurement at a single point. We apply the theory of compressive sensing to optimize the recovery method and numerical examples are provided. We show therefore that time-modulated gratings can be used to perfectly recover the image of an object in the far field and after measuring at a single point in the space, being therefore a promising approach to superesoloution and ultra-fast imaging.