Wiener–Hopf analysis of the two-dimensional box-like horn radiator

Abstract

A hybrid method consisting of employing the mode-matching method in conjunction with the Fourier transform technique is used to analyze the radiation of the dominant TEM-wave from a two-dimensional rectangular horn. The hybrid method that we will adopt reduces the related boundary value problem into a scalar modified Wiener–Hopf equation of the third kind. The solution involves branch-cut integrals which are evaluated approximately and infinitely many unknown constants satisfying an infinite system of linear algebraic equations susceptible to a numerical treatment. Some computational results illustrating the effects of various parameters such as waveguide width, horn length, etc., on the radiation phenomenon are also presented. Comparison of the results with those obtained for a similar finite structure is proved satisfactory.