# The linear sampling method and energy conservation

```@article{Aramini2010TheLS,
title={The linear sampling method and energy conservation},
author={Riccardo Aramini and Giacomo Caviglia and Andrea Massa and Michele Piana},
journal={Inverse Problems},
year={2010},
volume={26},
pages={055004}
}```
• Published 1 May 2010
• Mathematics
• Inverse Problems
In this paper we explain the linear sampling method and its performances under various scattering conditions by means of an analysis of the far-field equation based on the principle of energy conservation. Specifically, we consider the conservation of energy along the flow strips of the Poynting vector associated with the scattered field whose far-field pattern is one of the two terms in the far-field equation. The behavior of these flow lines is numerically investigated and theoretically…

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