Corrugated Conical Horns with Arbitrary Groove Depth
01 Aug 1971-Vol. 1, Iss: 1, pp 1-6
About: This article is published in European Microwave Conference.The article was published on 1971-08-01. It has received 2 citations till now. The article focuses on the topics: Groove (engineering) & Admittance.
Citations
More filters
TL;DR: In this article, the radiation characteristics of corrugated E-plane sectoral horns are studied and a separable modal solution of fields in terms of TE to z modes is obtained for this geometry.
Abstract: A study of the radiation characteristics of corrugated E -plane sectoral horns is described. Assuming the corrugations to be infinitely thin and sufficiently close packed, impedance boundary conditions are imposed on the fields in the axial region of the horn and it is established that a separable modal solution of fields in terms of TE to z modes is possible for this geometry. The horn aperture field is determined in terms of cylindrical wave functions and the vector diffraction formula is used to analyze the far-field radiation patterns. Excellent agreement is obtained between the theoretically derived pattern with experimental results for horns supporting the balanced HE_{11} mode with small flare angles ( 2_{\alpha 0} \leq 30\deg ), designed using the theory presented. Bandwidth properties of the horn have been studied which may be used to advantage in designing a corrugated E -plane sectoral horn without much degradation of its radiation characteristics corresponding to the balanced HE_{11} made over a wide frequency bandwidth (1.5:1).
27 citations
01 Jan 1971
TL;DR: In this article, an analytically simple and sufficiently accurate solution for the eigenvalues of a class of spherical wave functions is presented, where modes in conical and quasipyramidal waveguides with perfectly conducting walls are considered.
Abstract: An analytically simple and sufficiently accurate solution for the eigenvalues of a class of spherical wave functions is presented. The class of spherical wave functions considered are modes in conical and quasipyramidal waveguides with perfectly conducting walls and hybrid modes in corrugated conical and quasipyramidal horns with an impedance boundary. The indicated solution has been first used to obtain in closed form eigenvalues of the class of spherical wave functions considered which are subsequently used as the starting values for evaluating the exact eigenvalues with a simple digital-computer based iterative algorithm. The digital-computer evaluation of the eigenvalues has been found to be very fast, since the starting values are close to the exact solution, irrespective of the flare angle of the radial waveguides considered. Further, some mathematical insight has been provided in order to explain why the asymptotic solution, which appears to be valid only for small flare angles, yields eigenvalues close to the exact one even for wide flare angle(s) of the radial waveguides.
13 citations
References
More filters
TL;DR: In this article, a simpler solution for spherical hybrid modes in corrugated conical horns has been shown to have a deviation from the rigorous solution of less than 0.7 dB for the case considered by Clarricoats.
Abstract: A simpler solution for spherical hybrid modes in corrugated conical horns has been shown to have a deviation from the rigorous solution of less than 0.7 dB for the case considered by Clarricoats. Expressions for the radiation pattern and gain of such a horn with small flare angle have been obtained under balanced hybrid conditions.
33 citations
TL;DR: In this article, an approximate analysis of fields in a corrugated horn is considered using spherical hybrid modes, and a procedure is described for the determination of the horn radiation pattern.
Abstract: An approximate analysis of fields in a corrugated horn is considered using spherical hybrid modes. Under the special condition where the slots are about a quarter-wavelength deep, the approximations are slight in the far-field region of the horn. Solutions are presented for the lowest-order spherical hybrid modes, and a procedure is described for the determination of the horn radiation pattern. A first step in the procedure involves the calculation of the hybrid-mode field in the horn aperture. Because diffraction will be minimal in wide-angle corrugated horns, the aperture and radiation patterns should be similar when the far-field approximation applies. This feature is verified for a 120° horn making use of experimental results due to Kay.
28 citations
TL;DR: In this paper, the radiation pattern of a wide-flare-angle scalar horn is determined by a modalexpansion technique and also by the Kirchhoff-Huygen method.
Abstract: The radiation pattern of a wide-flare-angle scalar horn is determined by a modal-expansion technique and also by the Kirchhoff-Huygen method. Both approaches lead to similar results which agree well with experimental patterns obtained previously by Kay.
14 citations
01 Feb 1971
TL;DR: In this article, an analytically simple, sufficiently accurate, and self-consistent solution for modes in a conical horn is presented, and the eigenfunctions and eigenvalues derived from the simpler solution for the TE and TM modes of different orders are close to the exact solution.
Abstract: An analytically simple, sufficiently accurate, and self-consistent solution for modes in a conical horn is presented. The eigenfunctions and eigenvalues derived from the simpler solution for the TE and TM modes of different orders are close to the exact solution. Application of the simpler solution for obtaining the aperture field and, subsequently, the far-field-radiation patterns of conical horns of arbitrary flare angles excited in the TE11 mode, with the aid of a vector diffraction formula, yields results in close agreement with experiment. The new approach provides a simple and accurate solution for the balanced hybrid modes in corrugated conical horns with small and wide flare angles, emphasising the more general validity of the technique adopted.
14 citations
TL;DR: In this article, the diffracted far field of a wide-flare-angle corrugated conical horn (operating on the HE11 mode) has been obtained making use of a simpler expression for the aperture field.
Abstract: Expressions for the diffracted far field of a wide-flare-angle corrugated conical horn (operating on the HE11 mode) have been obtained making use of a simpler expression for the aperture field. Expressions for the radiation pattern and gain reduce to a closed form when the flare (semivertical) angle is less than 30°. The theoretical results are in close agreement with experiment.
13 citations