Self and mutual admittance of waveguide system with an impedance flange

In this paper, the problem of radiation from finite array of identical waveguides with an impedance flange radiating in arbitrary stratified media has been solved. The problem can be reduced to a set of integral equations with respect to finite functions representing linear combinations of electric and magnetic fields tangential components on apertures of waveguides. The stationary functional is performed for these equations on the basis of variational principle. The expressions for the matching characteristics of the system (reflection and transmission coefficients of waveguides, self and mutual admittance) are obtained in the closed form by using the functional. The flange impedance influence on the matching characteristics of two rectangular apertures on the single mode assumption is numerically investigated