Calculation of scattering matrix of finite plane waveguide array with an impedance flange using variation principle

This paper presents a theoretical investigation of the computation method of scattering matrix elements for the finite phased array of plane waveguides with an impedance flange. Waveguide array consists of the finite number of identical semi-infinite plane waveguides. Mutual coupling between waveguide apertures has been taken into account using variation principle in the single-mode approximation. As the result, the set of algebraic equations for scattering matrix elements has been obtained.