Design of a Ku-Band Compact Corrugated Horn with High Gaussian Beam Efficiency

A Dirichlet to Neumann Map Based Hybridization of a Mode Matching and Offset Moment Method for Horn Antennas Analysis

“…Explicitly, the equivalent magnetic current weighting factors obtained through (44) can be exploited in Equations (27), (28) or (39), (40) to yield the magnetic field in the unbounded region-I outside the pyramidal and conical horn respectively. These can be substituted in (43) along with the already available tangential magnetic field inside the horn, from (3), to ensure the tangential magnetic field continuity (continuity of Neumann data or establishment of the equivalent electric current on the aperture).…”

“…The tangential magnetic field H I t involved in (51) is already expressed as a function of the magnetic current amplitudes (MoM expansion) through Equations (27), (28) for the pyramidal and (39), (40) for the conical horn antenna. Substituting these expressions in (51) and arranging it in matrix form yields:…”

“…These antenna types have been adopted in many applications due to their excellent radiating properties such as symmetrical patterns, low crosspolar and sidelobes levels [17,26,27]. The corresponding waveguide profile which follows the curve for Gaussian equi-amplitude relative surfaces is given by:…”

Design and microwave measurement of a Ka‐band HE 11 mode corrugated horn for the Faraday rotator

“…The corrugated horn has conventionally been used in applications such as satellite communications, remote sensing and radio astronomy [9][10][11]. A number of TE 11 -HE 11 mode converters have been analysed and developed in the past few decades [12][13][14]. For circumferentially corrugated waveguide, the HE 11 mode purity was 99%, with cross-polarisation and reflection under −29 and −50 dB, respectively [12].…”

Complex Point Source for the 3d Laplace Operator

“…Some authors proposed replacing a real point source with a complex placed one to obtain Gaussian beams as a paraxial approximation to certain solutions of the Helmholtz wave equation [2][3][4][5]. Radiation and scattering problems have been constructed within the framework of these solutions, with special attention to paraxial approximations as Gaussian beams [6][7][8][9][10][11]. A more general description of the exact complex beams and the complex polar and spherical coordinates resulting from the complex extension of the coordinates has been studied in [12][13][14][15][16].…”