Universal early-time response in high-contrast electromagnetic scattering

TL;DR

This paper reveals a universal early-time power law response in high-contrast electromagnetic scattering, where the scattered field follows a t^{-1/2} decay, influenced by the target's surface geometry, with potential applications in remote sensing.

Contribution

It introduces the universal t^{-1/2} power law behavior in early-time electromagnetic scattering and links it to surface geometry, advancing understanding of target response.

Findings

Early-time response follows a t^{-1/2} power law.

Surface geometry influences the power law amplitude.

Universal behavior emerges from diffusive surface currents.

Abstract

The time-domain response of highly conducting targets following a rapidly terminated electromagnetic pulse displays three distinct regimes: early, intermediate and late time. The intermediate and late times are characterized by a superposition of exponentially decaying eigenmodes. At early time an ever increasing number of rapidly decaying modes contribute, with the result that the scattered electric field displays a universal $t^{-1/2}$ power law which emerges from the diffusive decay of a pattern of surface currents induced by the pulse. The power law amplitude reflects the surface geometry of the target, a property that may prove useful in buried target classification in geophysical remote sensing applications.