Transport properties of arrays of intersecting cylinders

Formalisms are presented which enable the accurate calculation of the polarizability of an isolated square prism, and of the transport properties of square arrays of both circular cylinders and square prisms, over the entire range of volume fractions. For volume fractions close to zero and to unity, the results are shown to agree with dipolar formulae based on the appropriate polarizability. For volume fractions close to touching, the transport property varies rapidly but smoothly through the multipolar region. The results are shown to be in good qualitative agreement with experimental curves.