Abstract
A new approach is proposed to detect scatterers embedded in reciprocal media from scattering data. The new method is rooted on physical considerations, in particular, on the optical theorem applicable to wavefields (e.g., acoustic, electromagnetic, and optical). The approach exploits insight gained from the optical theorem which assigns physical energy interpretations to the wave data from time reversal mirrors and cavities from which one can deduce the presence of unknown scatterers in unknown background media. The proposed approach is ideally suited for target detection in complex, highly reverberating unknown environments such as indoor facilities, caves, tunnels, and urban canyon.
Highlights
The optical theorem is a well-known result that describes energy conservation in wave scattering phenomena
We take explicit account of the realistic noise and develop the formal detection theoretic analysis quantifying the performance of the optical-theorem-based coherent detector for unknown scatterers in unknown media
We assume that the incident field ψ(i) corresponding to the field generated in the medium by the excitation source without the target is measured at the receiver array and is known in the signal processing that follows
Summary
The optical theorem is a well-known result that describes energy conservation in wave scattering phenomena. In this paper we propose a new coherent detection scheme for the acoustic, electromagnetic, or optical detection of unknown scatterers embedded in unknown complex background media. The statistic used for detection is proportional to the total extincted power due to scattering at the target, which in view of the optical theorem can be sensed nonlocally via a time reversal mirror or cavity. This new detection scheme has immediate applications impacting safety and security, for example, as a new sonar- or radar-based approach to the surveillance of indoor facilities, caves, and tunnels and in general complex environments exhibiting significant reverberations that can be exploited via time reversal ideas.
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