Percolation Effect Induced Significant Change of Complex Permittivity and Permeability for Silver-Epoxy Nano-Composites

Abstract: The intricate interplay between complex permittivity and permeability constitutes the cornerstone of electromagnetic (EM) applications, enabling precise customization for various uses. This study employed silver-epoxy nano-composites to exemplify a conductor-insulator composite, leveraging silver's exceptional attributes, such as high conductivity and low reactivity. The determination of complex permittivity and permeability was conducted via the transmission/reflection method. At lower concentrations of dispersed silver particles, these nano-particles within the epoxy resin act as modest dipoles, augmenting permittivity. This regime aligns closely with the effective medium theory (EMT) and comprises the focus of much research. However, nearing the percolation threshold, a percolation effect emerges, drastically accelerating enhancement rates beyond the predictions of EMT. Simultaneously, long-wavelength electromagnetic waves induce diamagnetic currents within loops formed by metal grains. This diamagnetic effect intensifies with increasing volume fraction, leading to a reduction in permeability. This study observed percolation power law behavior near the threshold with calculated critical exponents. Consequently, the dielectric constant of the silver-epoxy nano-composite reached a maximum of 515. Regarding permeability, the lowest recorded value was 0.31. These findings were obtained within the X-band (8.2 GHz~12.4 GHz) region.