Dual Spectral Resonance for Fractal Thermal Management: A Model for Spectrally Self-Cooling Materials

This article develops a complete theoretical model for Dual Spectral Resonance
(DSR) applied to radiative thermal management. DSR introduces a palindromic
spectral symmetry around a target wavenumber, combined with a fractal multi-
scale resonant architecture, to engineer tailored emissivity and absorptivity pro-
files. Through this mechanism, a material can reduce its absorption in the visible
and near-infrared while enhancing thermal emission in the atmospheric trans-
parency window (8–13 µm). Building on classical radiative transfer theory, we
formalize the conditions under which DSR produces a net cooling power, enabling
spectrally self-stabilizing and passively self-cooling surfaces. The framework ex-
tends concepts from photonic crystals, radiative cooling systems, and slow-light
physics to introduce a general resonant spectral control paradigm. Simulations
and analytic criteria demonstrate that DSR can enhance cooling efficiency and
yield robust thermal self-regulation under broadband illumination.