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Journal ArticleDOI

Eigenvalues of spherical surface-wave modes in corrugated conical horns

01 Jan 1974-IEEE Transactions on Antennas and Propagation (IEEE)-Vol. 22, Iss: 1, pp 122-123
TL;DR: In this article, an analytically simple and sufficiently accurate asymptotic solution for the eigenvalues of spherical surface waves in corrugated conical horns is described, and an iterative procedure for numerical evaluation of the exact eigen values associated with the surface waves of the lowest order is presented.
Abstract: An analytically simple and sufficiently accurate asymptotic solution for the eigenvalues of spherical surface waves in corrugated conical horns is described. An iterative procedure for numerical evaluation of the exact eigenvalues associated with the surface waves of the lowest order is presented here.
Citations
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ReportDOI
01 Jan 1988
TL;DR: A literature survey on electromagnetic surface waves for the years 1960 through 1987 can be found in this article, where the authors present a survey of electromagnetic surface wave data for the year 1987.
Abstract: : This report contains a literature survey on electromagnetic surface waves for the years 1960 through 1987.

7 citations

References
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Journal ArticleDOI
01 Sep 1971
TL;DR: In this article, the propagation and radiation properties of corrugated waveguides were investigated and the attenuation of the dominant HE11 mode was shown to be less than that of the H11 mode in a uniform waveguide over at least a 2:1 frequency bandwidth.
Abstract: An investigation of the propagation and radiation behaviour of circular corrugated waveguides is described. Particular attention is given to modes of unity azimuthal dependence because of their importance in antennafeed applications. It is shown that the radiation pattern of a corrugated waveguide exhibits nearly perfect symmetry over a 1.5:1 frequency band, and, when the corrugations are approximately λ/4 deep, the pattern is symmetric and there is no crosspolarised component of radiated field. The attenuation of the dominant HE11 mode is investigated theoretically and is shown to be less than that of the H11mode in a uniform waveguide over at least a 2:1 frequency bandwidth. An important similarity is described between the propagation behaviour of a corrugated waveguide and that of a dielectric rod of low relative permittivity, such as those used in fibre optics and optical waveguides. Finally, the determination of the input voltage standing-wave ratio (v.s.w.r.) at the junction between homogeneous and corrugated waveguides is theoretically and experimentlly studied.

121 citations

Journal ArticleDOI
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

Journal ArticleDOI
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