Rigorous combined mode-matching integral equation analysis of horn antennas with arbitrary cross section

Abstract

A combined rigorous method is presented for the analysis of horn antennas with arbitrary cross section and general outer surface. The horn taper is described by the mode-matching (MM) method where the cross-section eigenvalue problem is solved by a two-dimensional (2-D) finite element (FE) technique. For the exterior horn surface including the radiating aperture, the application of the Kirchhoff-Huygens principle yields two expressions for the admittance matrix which are based on the electric (EFIE) and the magnetic (MFIE) field integral equation, respectively. The equations are solved numerically by the method of moments (MoM). For the preferred EFIE formulation, the eigenvectors of the last waveguide taper section and RWG functions for triangular patches are utilized as basis-functions for the magnetic or electric surface current densities, respectively. The presented method is verified by available reference values or measurements for a waveguide radiator with a peripheral choke, a conical and a rectangular horn. Its flexibility is demonstrated at the example of a conical ridged waveguide horn.Index Terms-Horn antennas, integral equation methods, method of moments, mode-matching methods.

Double-ridged Horn Antenna with Sinusoidal Ridge Profile

“…The first design data were published at the late 1950s [1] and they used simplified network models. At present, we observe growing interest in full-wave analysis of the ridged horns [2][3][4] since numerical field solver is available. In the paper we report the FDTD simulations and results of measurements of double-ridged horn antenna designed for the frequency band 6 -18 GHz.…”

On the analysis of radiation losses in substrate integrated waveguide using mode-matching and method of moments

“…But infinite guides do not exist: the guide would end at some point in a conducting wall, which leads to the situation shown inFig. 3(c), similar to the reasoning followed in[11] for solving radiating problems. Under the latter scenario, we have a closed and finite current distribution, so this problem can be analyzed by the method in[10] using the single current equivalence.…”

Double-Ridged Antenna for Wideband Applications

“…In the first step, as shown in Fig. 2, a two-port rectangular waveguide without coaxial probe for single-mode (i.e., TE10 mode) operates in the frequency range [8][9][10][11][12][13][14][15][16][17][18] GHz is simulated with Ansoft HFSS. The height and width of the designed ridges and distance between the ridges are h = 2.37 mm, w = 4.6 mm, and s = 0.86 mm, respectively which are loaded in a rectangular waveguide as shown in Fig.…”

“…This is commonly done in waveguides to increase the cutoff frequency of the second propagating mode (TE11) and thus expands the single-mode range before higher order modes occur [12][13][14]. In [15,16], an E-plane sectoral horn for broadband application using a double-ridged antenna is provided.…”