1. The problem statement, all variables and given/known data The problem statement is in the attached .png file. There are a few equations involved which would have taken a decent amount of time to type out. 2. Relevant equations 3. The attempt at a solution I understand Maxwell's equations, and wrote out all 4 assuming there are no sources present. I then have 8 scalar equations that should allow me to solve for the remaining E&M field components, but I can't figure out how to relate them and arrive at a solution. Do I need to incorporate boundary conditions as well? Thanks in advance for any and all help!