Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Far-field Perfect Imaging with Time Modulated Gratings   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.

21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci