The propagation properties of the TE(pq) mode and their dispersion rel
ations in a high temperature superconductor (HTS) rectangular waveguid
e using the Meissner boundary conditions on all four superconducting w
alls are presented. In addition to recovering some previously known re
sults, we have obtained some unique and novel results: the dominant mo
de for HTSWG is the TE11 mode (instead of the conventional TE10 mode)
and the tangential electric field and normal magnetic field for the do
minant mode TE11 exist on the surfaces. The expressions for electromag
netic components, surface current, attenuation coefficient, the maximu
m transmitted power, dispersion and wave impedance are also presented.
The attenuation is found to be much smaller than that of the conventi
onal waveguides and the dispersion is negligible. The Meissner model p
resented here has been proved to be valid and powerful for analysis of
superconducting waveguides. For the first time, we have shown that th
e Meissner boundary condition is a key element in boundary value probl
ems for superconductor electromagnetics.