An efficient surface integral equation approach is proposed for the electromagnetic analysis of multilayered doubly periodic arrays of high impedance surfaces. It makes use of equivalent electric and magnetic currents on the interfaces between layers. Interfaces may be physical or fictitious. In the case where the interfaces are physical, the background medium in a given layer can be treated as a homogeneous unbounded medium for which the computation of Green's function for an infinite doubly periodic array is sufficient. The resulting method-of-moments matrix has a block-tridiagonal structure, which leads to a computational complexity proportional to the number of layers for both matrix filling and solution. The numerical results from a two-layer high impedance surface prove the accuracy and efficiency of the interstitial-currents approach.
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