A TE/TM modal solution for rectangular hard waveguides
06 Mar 2006-IEEE Transactions on Microwave Theory and Techniques (IEEE)-Vol. 54, Iss: 3, pp 1048-1054
TL;DR: In this article, a TE/TM modal solution for a longitudinally corrugated rectangular waveguide is developed, which can be used to achieve the hard boundary condition resulting in the quasi-TEM wave in a hard waveguide for discrete values of corrugation depth.
Abstract: A TE/TM modal solution for a longitudinally corrugated rectangular waveguide is developed. These longitudinal corrugations can be used to excite a quasi-TEM wave and form a hard waveguide by correctly choosing the impedance at the guide wall. The correctly chosen impedance is referred to as the hard boundary condition. The modal solution developed here solves the problem of longitudinal corrugations filled with a dielectric material by first finding and solving the characteristic equation for a complete TE/TM modal set. It is shown that this TE/TM mode solution can be used to achieve the hard boundary condition resulting in the quasi-TEM wave in a hard waveguide for discrete values of corrugation depth. Beyond each of these depths, a mode becomes a surface wave. The theoretical mode set is amenable to the solution of problems using the mode-matching method. A combination of the mode-matching method and the TE/TM modal solution will allow the solution of larger problems.
Citations
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TL;DR: In this article, the authors give some basic rules that govern the propagation of the quasi-TEM modes, and show that many of their characteristics can be deduced from the simple analysis of the reflection properties of the involved surfaces.
Abstract: Hard surfaces or magnetic surfaces can be used to propagate quasi-TEM modes inside closed waveguides. The interesting feature of these modes is an almost uniform field distribution inside the waveguide. But the mechanisms governing how these surfaces act, how they can be characterized, and further how the modes propagate are not detailed in the literature. In this paper, we try to answer these questions. We give some basic rules that govern the propagation of the quasi-TEM modes, and show that many of their characteristics (i.e. their dispersion curves) can be deduced from the simple analysis of the reflection properties of the involved surfaces.
References
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Book•
01 Jun 1961
TL;DR: In this paper, a revised version of the Revised edition of the book has been published, with a new introduction to the concept of plane wave functions and spherical wave functions, as well as a detailed discussion of the properties of these functions.
Abstract: Foreword to the Revised Edition. Preface. Fundamental Concepts. Introduction to Waves. Some Theorems and Concepts. Plane Wave Functions. Cylindrical Wave Functions. Spherical Wave Functions. Perturbational and Variational Techniques. Microwave Networks. Appendix A: Vector Analysis. Appendix B: Complex Permittivities. Appendix C: Fourier Series and Integrals. Appendix D: Bessel Functions. Appendix E: Legendre Functions. Bibliography. Index.
5,655 citations
"A TE/TM modal solution for rectangu..." refers methods in this paper
...The process begins by looking for and modes, and applies the techniques described in Harrington [15]....
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Book•
01 Jan 1960
TL;DR: In this paper, the authors present a model for waveguide decomposition in terms of waveguide discontinuities and waveguides and cavities, and apply it to artificial dielectrics.
Abstract: Preface. Basic Electromagnetic Theory. Green's Functions. Transverse Electromagnetic Waves. Transmission Lines. Waveguides and Cavities. Inhomogeneously Filled Waveguides and Dielectric Resonators. Excitation of Waveguides and Cavities. Variational Methods for Waveguide Discontinuities. Periodic Structures. Integral Transform and Function-Theoretic Techniques. Surface Waveguides. Artificial Dielectrics. Mathematical Appendix. Name Index. Subject Index. About the Author.
4,393 citations
"A TE/TM modal solution for rectangu..." refers background in this paper
...If the two guides are identical, the coupling integral becomes a test for the orthogonality of the modes within a given hard waveguide [17]....
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TL;DR: In this paper, the concept of soft and hard surfaces is treated in detail, considering different geometries, and it is shown that both the hard and soft boundaries have the advantage of a polarizationindependent reflection coefficient for geometrical optics ray fields, so that a circularly polarized wave is circularly polarization in the same sense after reflection.
Abstract: A transversely corrugated surface as used in corrugated horn antennas represents a soft boundary. A hard boundary is made by using longitudinal corrugations filled with dielectric material. The concept of soft and hard surfaces is treated in detail, considering different geometries. It is shown that both the hard and soft boundaries have the advantage of a polarization-independent reflection coefficient for geometrical optics ray fields, so that a circularly polarized wave is circularly polarized in the same sense after reflection. The hard boundary can be used to obtain strong radiation fields along a surface for any polarization, whereas the soft boundary makes the fields radiated along the surface zero. >
677 citations
"A TE/TM modal solution for rectangu..." refers background in this paper
...I N RECENT years, there has been increasing interest in forms of spatial combining where a large number of antennas are placed in either a longitudinally corrugated dielectric-filled waveguide or a dielectric-filled waveguide meant to simulate a hard waveguide [1]....
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TL;DR: In this paper, a theoretical parametric analysis of a TE/sub 11/-to-HE/sub11/ mode converter consisting of a section of cylindrical corrugated waveguide with varying slot depth is presented.
Abstract: A theoretical parametric study is given of a TE/sub 11/-to-HE/sub 11/ mode converter consisting of a section of cylindrical corrugated waveguide with varying slot depth. The analysis makes use of modal field-matching techniques to determine the scatter marks of the mode converter from which we deduce its propagation properties. It is shown that a mode converter consisting of only five slots achieves a return loss better than 30dB over the band 2.7
195 citations
TL;DR: Horn antennas with soft and hard boundaries are analyzed and the dependency between the edge taper directivity, and sidelobes is calculated based on the solution to the spherical hybrid modes in a conical horn with arbitrary wall impedances.
Abstract: Horn antennas with soft and hard boundaries are analyzed. A soft boundary which exists in classical hybrid-mode horns gives zero field intensity at the wall. A hard boundary corresponds to a uniform field distribution over the horn aperture. Soft and hard horn antennas are compared with respect to directivity, sidelobes, and beamwidth. The dependency between the edge taper directivity, and sidelobes is also calculated based on the solution to the spherical hybrid modes in a conical horn with arbitrary wall impedances. This makes it possible to study how to compromise between directivity and sidelobes. Also discussed is how the different wall impedances may be realized, and some preliminary experimental work on hard horns is presented. >
102 citations
"A TE/TM modal solution for rectangu..." refers result in this paper
...Contrary to [12] and postulated previously [13], [14], TE modes can also exist, albeit in a modified form....
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