A theoretical analysis of microwave properties of planar superconducti
ng waveguides of finite thickness in the presence of an external dc ma
gnetic field is presented in this article. Some analytical formulas ar
e derived for determining the attenuation and dispersion properties of
the superconducting waveguide, which may account for the effects of t
he de magnetic field, the electrodynamic properties of type-II superco
nductors, the thickness of superconducting films, and the dielectric l
oss in the waveguide. Numerical results are then given to show quantit
atively how the de magnetic field influences the propagation propertie
s of the planar superconducting waveguide. Some analysis are also give
n to study the effect of dc magnetic field on the quality factor Q and
the resonant frequency of planar superconducting waveguide resonators
.