Far-Field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit.
نویسندگان
چکیده
We obtain the ultimate quantum limit for estimating the transverse separation of two thermal point sources using a given imaging system with limited spatial bandwidth. We show via the quantum Cramér-Rao bound that, contrary to the Rayleigh limit in conventional direct imaging, quantum mechanics does not mandate any loss of precision in estimating even deep sub-Rayleigh separations. We propose two coherent measurement techniques, easily implementable using current linear-optics technology, that approach the quantum limit over an arbitrarily large range of separations. Our bound is valid for arbitrary source strengths, all regions of the electromagnetic spectrum, and for any imaging system with an inversion-symmetric point-spread function. The measurement schemes can be applied to microscopy, optical sensing, and astrometry at all wavelengths.
منابع مشابه
Supplemental Material for “Far-field Super-resolution of Thermal Electromagnetic Sources at the Quantum Limit”
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ورودعنوان ژورنال:
- Physical review letters
دوره 117 19 شماره
صفحات -
تاریخ انتشار 2016