In all the source I have read about, EM field analysis of Transmission Lines always assume the conductor is perfect (infinite conductivity), and that simplify alot the analysis, since there can be no field inside the conductor and that gives much easier boundary condition, which allows us to get standing wave solution for each cross section. What if we allow finite conductivity in the conductor (e.g. Parallel Plate Transmission Line with finite conductivity and lossy dielectric in between)? Have anyone seen a field analysis of such situation? I know the simplest approach would be using circuit method for analyzing this general condition, but I want to use Maxwell Eq to get a EM field analysis which would be more convincing (at least to me) and beautiful. I have had a hard time thinking of how to make that works when we throw out the simple boundary condition that comes with perfect conductor. Have anyone done this or seen someone else done this before? Any reference? Thank you.