  This paper focus on the theoretical analysis and simulation of
electromagnetic wave transforms, which is widely encountered in teaching
physics. When the electromagnetic wave is not consistent with the shape of the
object, it is often necessary to introduce electromagnetic wave transforms to
analyze the interaction between the two. In this paper, we discuss three common
waves, namely plane wave, cylindrical wave and spherical wave. We first analyze
the mathematical transformation equations between them, and then use computer
programs to draw a simulation image to intuitively show the derivation results.
During the derivation, we corrected an error in a classic electromagnetic
textbook. Finally, several specific electromagnetic examples are solved by
electromagnetic wave transformation. These examples include the scattering of
plane waves by ideal conductor cylinder, sphere and ideal dielectric cylinder.
The simulation results are displayed intuitively in the form of images.
