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Journal Article

Tempering Rayleigh’s curse with PSF shaping


Sanchez-Soto,  Luis
Quantumness, Tomography, Entanglement, and Codes, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Paúr, M., Stoklasa, B., Grover, J., Krzic, A., Sanchez-Soto, L., Hradil, Z., et al. (2018). Tempering Rayleigh’s curse with PSF shaping. Optica, 5(10), 1177-1180. doi:10.1364/OPTICA.5.001177.

Cite as: https://hdl.handle.net/21.11116/0000-0002-98AF-E
It has been argued that, for a spatially invariant imaging system, the information one can gain about the separation of two incoherent point sources decays quadratically to zero with decreasing separation. The effect is termed Rayleighx2019;s curse. Contrary to this belief, we identify a class of point-spread functions (PSFs) with a linear information decrease. Moreover, we show that any well-behaved symmetric PSF can be converted into such a form with a simple nonabsorbing signum filter. We experimentally demonstrate significant superresolution capabilities based on this idea.