Spatial spectroscopy for high resolution imaging
1 ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, 08860 Castelldefels, Barcelona, Spain
2 The Barcelona Institute of Science and Technology, 08036 Barcelona, Spain
3 Department of Signal Theory and Communications, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain
* e-mail: Arturo.Villegas@icfo.eu
Published online: 20 August 2020
Quantum estimation theory provides bounds for the precision in the estimation of a set of parameters that characterize a system. Two questions naturally arise: Is any of these bounds tight? And if this is the case, what type of measurements can attain such a limit? In this work we show that for phase objects, it is possible to find a tight resolution bound. Moreover one can find a set of spatial modes whose detection provides an optimal estimation of the complete set of parameters for which we propose a homodyne detection scheme. We call this method spatial spectroscopy since it mimics in the spatial domain what conventional spectroscopy methods do in the frequency domain employing many frequencies (hyperspectral imaging).
© The Authors, published by EDP Sciences, 2020
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