How does one solve Maxwell's Equations, in the x-direction, in wave equation form, with a scaled Heaviside Step Function forcing, using Green's Functions?

Question

anonymous · Answer

This is terrible.  I would

1. Write Maxwell's equations in wave equation form.  Involves setting them equal to each other.

2. Go to my PDE book to the chapter about solving wave equations.  I recall we did use the Heaviside function alot.  It's fairly easy if i remember correctly.  You'll make use of that French guy's general solution, d'Alembert's solution.  Involves the driving term being the Heaviside.  Not too hard...  I think.

3. Green's Functions... Come to think of it, you won't want to mess with d'Alembert if you're using Green's Functions.  They're a royal pain...  Not much help, sorry.