Electrostatics of crossed arrays of strips [Correspondence]

Abstract

The BIS-expansion method is widely applied in analysis of SAW devices. Its generalization is presented for two planar periodic systems of perfectly conducting strips arranged perpendicularly on both sides of a dielectric layer. The generalized method can be applied in the evaluation of capacitances of strips on printed circuits boards and certain microwave devices, but primarily it may help in evaluation of 2-D piezoelectric sensors and actuators, with row and column addressing their elements, and also piezoelectric bulk wave resonators.

Archives of Acoustics

“…To obey the electrical boundary conditions and find the unknown coefficients A inm , i = 1, 2 in Eq. ( 29) the tangential electric field and normal electric induction in the boundary plane x 3 = h can be rewritten in the form of series expansion as follows (Danicki, 2010):…”

“…Solutions for electrical and mechanical fields are sought in the form of double periodic Bloch series expansions satisfying the governing equations in piezoelectric slab. To obey periodic electric boundary conditions the amplitudes of Bloch components are represented by the series of Legendre polynomials, describing proper singular behaviour of the electric field in the vicinity of strips edges (Danicki, 2010).…”