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Towards Superresolution Surface Metrology: Quantum Estimation of Angular and Axial Separations
Carmine Napoli1,2, Samanta Piano2, Richard Leach2
1School of Mathematical Sciences and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, University Park Campus, Nottingham NG7 2RD, United Kingdom.
Physical Review Letters
|May 4, 2019
Summary
We can precisely locate two separated point sources using quantum metrology. This quantum measurement technique overcomes classical imaging limits, enabling accurate 3D surface measurements.
Area of Science:
- Quantum optics
- Metrology
- Optical imaging
Background:
- Classical imaging methods face limitations like Rayleigh's criterion for resolving closely spaced objects.
- Accurate localization of multiple point sources is crucial for 3D surface measurements.
Purpose of the Study:
- To investigate the localization of two incoherent point sources with arbitrary separations.
- To demonstrate a quantum metrology approach for simultaneous estimation of source separations.
Main Methods:
- Application of quantum metrology techniques for simultaneous estimation.
- Analysis within the paraxial approximation.
- Theoretical precision analysis using the quantum Cramér-Rao bound.
Main Results:
- Simultaneous estimation of angular and axial separations is achievable with a single quantum measurement.
- The achieved precision saturates the quantum Cramér-Rao bound.
- Precision is maintained in the subwavelength regime, surpassing classical limitations.
Conclusions:
- Quantum metrology offers a path to overcome classical resolution limits in optical imaging.
- The proposed method is robust and applicable to various imaging systems.
- Potential applications in high-precision 3D surface metrology.
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