期刊
OPTICS EXPRESS
卷 17, 期 26, 页码 23920-23946出版社
Optica Publishing Group
DOI: 10.1364/OE.17.023920
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资金
- Leopoldina - German Academy of Sciences [LPDS 2009-13]
- Advanced Grant of the European Research Council (ERC)
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. (C) 2009 Optical Society of America
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