Solving Maxwell’s Equations for even simple structures like dipole antennas is not a trivial task.
Maxwell’s Equations are eloquently simple yet excruciatingly complex.
Their first statement by James Clerk Maxwell in 1864 heralded the beginning of the age of radio and, one could argue, the age of modern electronics as well. Maxwell pulled back the curtain on one of the fundamental secrets of the universe. These equations just don’t give the scientist or engineer insight, they are literally the answer to everything RF.
The problem is that the equations can be baffling to work with. Solving Maxwell’s Equations for real life situations, like predicting the RF emissions from a cell tower, requires more mathematical horsepower than any individual mind can muster.