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 has been applied with success to square cylinders and is extended in this study 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 employed in checking the capacitance from field matching. Some ways of applying the method to other problems are mentioned.<>