We develop a new causal power-normalized waveguide equivalent-circuit theor
y that, unlike its predecessors, results in network parameters usable in bo
th the frequency and time domains in a broad class of waveguides, Enforcing
simultaneity of the voltages, currents, and fields and a power normalizati
on fixes all of the parameters of the new theory within a single normalizat
ion factor, including both the magnitude and phase of the characteristic im
pedance of the waveguide. Enforcing simultaneity also ensures that the theo
ry's voltages and currents do not start before their excitation, and that t
he network parameters of passive devices are causal, a necessary condition
for stable time-domain simulations.