Dual-Zero-Scattering in Diffusive Transport

Abstract

Achieving invisibility in diffusive fields with metamaterials has long been hindered by a fundamental trade-off: suppressing external scattering by means of a metamaterial shell inevitably distorts the shell’s internal field, precluding perfect transparency. We overcome this limitation by introducing a dual-zero-scattering regime that simultaneously eliminates scattering in both the background medium and the metamaterial shell. Through a unified theoretical framework that integrates coordinate transformation with scattering cancellation, we demonstrate this concept both numerically and experimentally in thermal sensors, cloaks, and concentrators. The required shell’s anisotropic thermal conductivity is realized using deep-learning-optimized microstructures. This approach establishes a general paradigm for designing truly noninvasive devices in diffusion-based systems, with promising extensions to wave phenomena such as acoustics and electromagnetics.