T. Roy et al., SURFACE INTEGRAL FORMULATION FOR CALCULATING CONDUCTOR AND DIELECTRICLOSSES OF VARIOUS TRANSMISSION STRUCTURES, IEEE transactions on microwave theory and techniques, 43(1), 1995, pp. 176-185
The power-loss method, along with a surface integral formulation, has
been used to compute the attenuation constant in microstrip and coplan
ar structures, This method can be used for the analysis of both open a
nd closed structures. Using the surface equivalence principle, the wav
eguide walls are replaced by equivalent electric surface currents and
dielectric surfaces are replaced by equivalent electric and magnetic s
urface currents. Enforcing the appropriate boundary condition, and E-f
ield integral equation (EFIE) is developed for these currents. method
of moments with pulse expansion and point matching testing procedure i
s used to transform the integral equation into a matrix one, The relat
ionship between the propagation constant and frequency is found from t
he minimum eigenvalue of the moment matrix. The eigenvector pertaining
to the minimum eigenvalue gives the unknown electric and magnetic sur
face currents.