Martin Luther King's iconic I Have a Dream speech is full of allusions. Let's look at a few: Dr. King's speech (1963) was made 100 years after Lincoln's Emancipation Proclamation (1863) that freed all slaves in rebel territories.
There are a number of commercial packages you can use for such purposes. Comsol multiphysics simulation software is a general purpose physics modelling software package that I belive can deal with electromagnitism. The link to their website is http://www.uk.comsol.com. Ansys is another commercial vendor that provides a electromagnetic physics module. There website is http://www.ansys.com.
A programmable logic controller (PLC), or programmable controller is an industrial digital computer which has been ruggedized and adapted for the control of manufacturing processes, such as assembly lines, or robotic devices, or any activity that requires high reliability control and ease of programming and process fault diagnosis.