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We investigate the AC conductivity of binary random impedance networks, withemphasis on its dependence on the ratio of the complex conductances of bothphases. We propose an algorithm to determine the conductance of a finitenetwork, in terms of its poles and of the associated residues. A numericalimplementation of the algorithm, on the example of the square lattice, allows adetailed investigation of the resonant dielectric response of the binary model,including the density of resonances, the spectral function, the distribution ofspacings between resonances. The distribution of local electric fields atresonance is found to be multifractal.Comment: 32 pages, 20 figure

Dielectric resonances of binary random networks