The in-plane fields of infinite arrays of discrete charges

The electric field characteristics of infinite arrays of discrete charges are useful as the limiting cases for finite arrays of charges. Various methods were examined to obtain the field intensity; simple summation by computer, using thousands of charges, proved quickest and best. The results are presented as curves for the component fields. In addition, some discussion of the magnitude and space phase angle of the fields is given. This was done for linear arrays of equal charges spaced equal distances apart. A similar array of charges alternating in sign is also considered, and three cases of surface arrays are discussed