Complex images of a point charge in rectangular conducting planes

The exact images of a point charge in rectangular conducting planes are discretely located on an infinite plane, making it difficult to compute the electrostatic field rapidly. In the paper, a complex image theory for the electrostatic problem in rectangular conducting planes is investigated. The research shows that only a few complex images are used to replace the countless exact images, but the error is less than 0.2% when they are utilized to compute the electrostatic potential functions, and the execution time is greatly reduced