@article {Lin:22,
	title = {End-to-end metasurface inverse design for single-shot multi-channel imaging},
	journal = {Opt. Express},
	volume = {30},
	number = {16},
	year = {2022},
	month = {Aug},
	pages = {28358{\textendash}28370},
	publisher = {Optica Publishing Group},
	abstract = {We introduce end-to-end inverse design for multi-channel imaging, in which a nanophotonic frontend is optimized in conjunction with an image-processing backend to extract depth, spectral and polarization channels from a single monochrome image. Unlike diffractive optics, we show that subwavelength-scale \&amp;\#x201C;metasurface\&amp;\#x201D; designs can easily distinguish similar wavelength and polarization inputs. The proposed technique integrates a single-layer metasurface frontend with an efficient Tikhonov reconstruction backend, without any additional optics except a grayscale sensor. Our method yields multi-channel imaging by spontaneous demultiplexing: the metaoptics front-end separates different channels into distinct spatial domains whose locations on the sensor are optimally discovered by the inverse-design algorithm. We present large-area metasurface designs, compatible with standard lithography, for multi-spectral imaging, depth-spectral imaging, and \&amp;\#x201C;all-in-one\&amp;\#x201D; spectro-polarimetric-depth imaging with robust reconstruction performance (\&amp;\#x2272; 10\&amp;\#x0025; error with 1\&amp;\#x0025; detector noise). In contrast to neural networks, our framework is physically interpretable and does not require large training sets. It can be used to reconstruct arbitrary three-dimensional scenes with full multi-wavelength spectra and polarization textures.},
	keywords = {diffractive optics, Free space optics, Image Processing, Image reconstruction, Multichannel imaging, Multispectral imaging},
	doi = {10.1364/OE.449985},
	url = {http://opg.optica.org/oe/abstract.cfm?URI=oe-30-16-28358},
	author = {Lin, Zin and Rapha{\"e}l Pestourie and Charles Roques-Carmes and Zhaoyi Li and Federico Capasso and Marin Solja{\v c}i{\'c} and Steven G. Johnson}
}
