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arxiv: math-ph/0306054 · v1 · pith:3YDABE5Anew · submitted 2003-06-23 · 🧮 math-ph · math.MP

Universal early-time response in high-contrast electromagnetic scattering

classification 🧮 math-ph math.MP
keywords decayingdisplaysearlyelectromagneticintermediatelatepowerpulse
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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.

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