TY - JOUR
T1 - Super-resolution and reconstruction of sparse sub-wavelength images
AU - Gazit, Snir
AU - Szameit, Alexander
AU - Eldar, Yonina C.
AU - Segev, Mordechai
PY - 2009/12/21
Y1 - 2009/12/21
N2 - We show that, in contrast to popular belief, sub-wavelength information can be recovered from the far-field of an optical image, thereby overcoming the loss of information embedded in decaying evanescent waves. The only requirement is that the image is known to be sparse, a specific but very general and wide-spread property of signals which occur almost everywhere in nature. The reconstruction method relies on newly-developed compressed sensing techniques, which we adapt to optical super-resolution and sub-wavelength imaging. Our approach exhibits robustness to noise and imperfections. We provide an experimental proof-of-principle by demonstrating image recovery at a spatial resolution 5-times higher than the finest resolution defined by a spatial filter. The technique is general, and can be extended beyond optical microscopy, for example, to atomic force microscopes, scanning-tunneling microscopes, and other imaging systems.
AB - We show that, in contrast to popular belief, sub-wavelength information can be recovered from the far-field of an optical image, thereby overcoming the loss of information embedded in decaying evanescent waves. The only requirement is that the image is known to be sparse, a specific but very general and wide-spread property of signals which occur almost everywhere in nature. The reconstruction method relies on newly-developed compressed sensing techniques, which we adapt to optical super-resolution and sub-wavelength imaging. Our approach exhibits robustness to noise and imperfections. We provide an experimental proof-of-principle by demonstrating image recovery at a spatial resolution 5-times higher than the finest resolution defined by a spatial filter. The technique is general, and can be extended beyond optical microscopy, for example, to atomic force microscopes, scanning-tunneling microscopes, and other imaging systems.
UR - http://www.scopus.com/inward/record.url?scp=73949092310&partnerID=8YFLogxK
U2 - 10.1364/OE.17.023920
DO - 10.1364/OE.17.023920
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C2 - 20052103
AN - SCOPUS:73949092310
SN - 1094-4087
VL - 17
SP - 23920
EP - 23946
JO - Optics Express
JF - Optics Express
IS - 26
ER -