Optical resolution from Fisher information

. The information gained by performing a measurement on a physical system is most appropriately assessed by the Fisher information, which in fact establishes lower bounds on estimation errors for an arbitrary unbiased estimator. We revisit the basic properties of the Fisher information and demonstra...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 131; no. 5; p. 130
Main Authors Motka, L., Stoklasa, B., D’Angelo, M., Facchi, P., Garuccio, A., Hradil, Z., Pascazio, S., Pepe, F. V., Teo, Y. S., Řeháček, J., Sánchez-Soto, L. L.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2016
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Fisher information
Lower bounds
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Review
Theoretical
Unbiased Estimator
Point Spread Function
Spectral Band
Fisher Information
Mean Square Error
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Summary:. The information gained by performing a measurement on a physical system is most appropriately assessed by the Fisher information, which in fact establishes lower bounds on estimation errors for an arbitrary unbiased estimator. We revisit the basic properties of the Fisher information and demonstrate its potential to quantify the resolution of optical systems. We illustrate this with some conceptually important examples, such as single-slit diffraction, spectroscopy and superresolution techniques.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2016-16130-7