The electrostatic potential of an infinite array of rectangular cylinders

Electrostatically charged cylinders are useful in precipitators, filters, transmission lines, and optical devices. Studies of infinite arrays of such cylinders are helpful as the limiting cases of the finite arrays. The method of field matching, which has been applied with success to square cylinders, is extended to treat cylinders of rectangular cross section. The analysis requires the simultaneous solution of two infinite systems of equations. The potential near the charged cylinders is developed, as is the capacitance of the cylinders. A number of experimental and theoretical results from other methods are used in checking the capacitance from field matching. Some ways of applying the method to other problems are mentioned