# Estimating the size of the scatterer

## TL;DR

This paper derives an explicit formula to estimate the size of a scatterer, such as an obstacle or potential support, based on its scattering amplitude.

## Contribution

It provides a novel explicit formula linking the scatterer's size directly to measurable scattering data.

## Key findings

- Explicit size estimation formula derived
- Applicable to obstacles and potential supports
- Enhances inverse scattering analysis

## Abstract

Formula for the size of the scatterer is derived explicitly in terms of the scattering amplitude corresponding to this scatterer. By the scatterer either a bounded obstacle $D$ or the support of the compactly supported potential is meant