Super-localisation of a point-like emitter in a resonant environment: Correction of the mirage effect
- CMOR Department, Rice University, Houston, TX 77005, USA; OSTI
- ESPCI Paris, PSL Research University, CNRS, Institut Langevin, France
- CERN, 1211 Geneva 23, Switzerland
In this paper, we show that it is possible to overcome one of the fundamental limitations of super-resolution microscopy: the necessity to be in an optically homogeneous environment. Using recent modal approximation results from [10, 7], we show, as a proof of concept, that it is possible to recover the position of a single point-like emitter in a known resonant environment from far-field measurements, with a precision two orders of magnitude below the classical Rayleigh limit. The procedure does not involve solving any partial differential equation, is computationally light (optimisation in \begin{document}$$ \mathbb{R}^d $$\end{document} with \begin{document}$ d $$\end{document} of the order of \begin{document}$$ 10 $\end{document}) and is therefore suited for the recovery of a very large number of single emitters.
- Research Organization:
- Rice Univ., Houston, TX (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- SC0020345
- OSTI ID:
- 2421556
- Journal Information:
- Inverse Problems and Imaging, Journal Name: Inverse Problems and Imaging Journal Issue: 0 Vol. 0; ISSN 1930-8337
- Publisher:
- American Institute of Mathematical Sciences
- Country of Publication:
- United States
- Language:
- English
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