# Reconstructing fine details of small objects by using plasmonic spectroscopic data

## TL;DR

This paper introduces a novel plasmonic sensing-based method to reconstruct small object details from far field data, overcoming diffraction and noise limitations by encoding object information into resonant frequency shifts.

## Contribution

The paper presents a new approach using plasmonic resonances and generalized polarization tensors for accurate reconstruction of small objects from far field measurements.

## Key findings

- Successfully reconstructs small object details using plasmonic frequency shifts.
- Provides a mathematical foundation for plasmonic sensing techniques.
- Numerical results validate the effectiveness of the proposed method.

## Abstract

This paper is concerned with the inverse problem of reconstructing a small object from far field measurements. The inverse problem is severally ill-posed because of the diffraction limit and low signal to noise ratio. We propose a novel methodology to solve this type of inverse problems based on an idea from plasmonic sensing. By using the field interaction with a known plasmonic particle, the fine detail information of the small object can be encoded into the shift of the resonant frequencies of the two particle system in the far field. In the intermediate interaction regime, we show that this information is exactly the generalized polarization tensors associated with the small object, from which one can perform the reconstruction. Our theoretical findings are supplemented by a variety of numerical results. The results in the paper also provide a mathematical foundation for plasmonic sensing.