The macroscopic theory of the capture efficiency of the highly ordered (orthonomic) matrix for HGMF/S is introduced. An orthonomic coefficient upon which efficiency is critically dependent, is identified. Results from theoretical modelling show that: (1) for the achievement of a virtual 100% capture efficiency, orthonomic matrices require a decreasing number of matrix layers as the orthonomic coefficient is increased, thus providing cost benefits; (2) the macroscopic theory compares closely with the microscopic theory of Hayashi and Uchiyama (1980) for an optimised binary set of parallel wires.