  In the TE wave method, microwaves are coupled into the beam-pipe and the
effect of the electron cloud on these microwaves is measured. An electron cloud
(EC) density can then be calculated from this measurement. There are two
analysis methods currently in use. The first treats the microwaves as being
transmitted from one point to another in the accelerator. The second more
recent method, treats the beam-pipe as a resonant cavity. This paper will
summarize the reasons for adopting the resonant TE wave analysis as well as
give examples from CESRTA and DA{\Phi}NE of resonant beam-pipe. The results of
bead-pull bench measurements will show some possible standing wave patterns,
including a cutoff mode (evanescent) where the field decreases exponentially
with distance from the drive point. We will outline other recent developments
in the TE wave method including VORPAL simulations of microwave resonances, as
well as the simulation of transmission in the presence of both an electron
cloud and magnetic fields.
