Statistical Design of Chaotic Waveforms with Enhanced Targeting Capabilities

TL;DR

This paper introduces a statistical framework for designing chaotic waveforms that efficiently target weakly lossy embedded objects within chaotic enclosures, leveraging universal scattering features for broad applicability.

Contribution

It presents a novel statistical theory for waveform shaping that does not depend on specific chaotic enclosure details, applicable to systems with or without time-reversal symmetry.

Findings

Effective energy delivery to weak targets demonstrated

Universal features enable broad applicability

Theory applicable to systems with/without time-reversal symmetry

Abstract

We develop a statistical theory of waveform shaping of incident waves that aim to efficiently deliver energy at weakly lossy targets which are embedded inside chaotic enclosures. Our approach utilizes the universal features of chaotic scattering -- thus minimizing the use of information related to the exact characteristics of the chaotic enclosure. The proposed theory applies equally well to systems with and without time-reversal symmetry.