On the discontinuity problem at the input to an anisotropic waveguide

Bresler, A.D.

doi:10.1109/tap.1959.1144754

Cited by 14 publications

(4 citation statements)

References 12 publications

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“…We now demonstrate some general properties for the solutions of the eigenproblem (6). It has already been said that a lossless material is characterized by a hermitian symmetric material matrix, M = M H .…”

Section: Bianisotropic Materialsmentioning

confidence: 89%

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Determination of Propagation Constants and Material Data From Waveguide Measurements

Sjöberg¹

2009

PIER B

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Abstract-This paper presents an analysis with the aim of characterizing the electromagnetic properties of an arbitrary linear, bianisotropic material inside a metallic waveguide. The result is that if the number of propagating modes is the same inside and outside the material under test, it is possible to determine the propagation constants of the modes inside the material by using scattering data from two samples with different lengths. Some information can also be obtained on the cross-sectional shape of the modes, but it remains an open question if this information can be used to characterize the material. The method is illustrated by numerical examples, determining the complex permittivity for lossy isotropic and anisotropic materials.

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Section: Bianisotropic Materialsmentioning

confidence: 89%

“…A general formalism for anisotropic waveguides was presented in a series of papers in the late fifties [5][6][7][8], but they have had surprisingly few followers. The bianisotropic case is treated by [21] and [4].…”

Section: Introductionmentioning

confidence: 99%

Determination of Propagation Constants and Material Data From Waveguide Measurements

Sjöberg¹

2009

PIER B

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“…This condition can be phrased as an integral equa-tion for the field in the plane of the bed boundary. We extracted useful information from this equation by variational techniques (Angulo, 1957;Angulo and Chang, 1959;Bresler, 1959;Reinhart et al, 1971;Hockham and Sharpe, 1972;Ikegami, 1972;Rozzi, 1978;Rozzi and Veld, 1980) Wiener-Hopf methods (Angulo and Chang, 1953;Angulo and Chang, 1959;Kay, 1959;Aoki and Miyazaki, 1982) expansion in Neuman series (Gelin et al, 1979;Gelin et al, 1981), and mode matching (Clarricoats et al, 1972;Hockham and Sharpe, 1972;Brooke and Kharadly, 1982;Mahmoud and Beal, 1975;Morishita et al, 1979). The most significant technical complication of junction problems in an open waveguide is the treatment of the continuous spectrum.…”

Section: Introductionmentioning

confidence: 99%

Diffraction of axisymmetric waves in a borehole by bed boundary discontinuities

et al. 1984

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ABTRACTThis paper presents the calculation of the diffraction of axisymmetric borehole waves by bed boundary discontinuities. The bed boundary is assumed to be horizontal and the inhomogeneities to be axially symmetric. In such a geometry, an axially symmetric source will produce only axially symmetric waves. Since the borehole is an open structure, the mode spectrum consists of a discrete part as well as a continuum. The scattering of a continuum of waves by bed boundaries is difficult to treat. The approach used in the past in treating this class of problem has been approximate in nature, or highly numerical, such as the finite-element method. We present here a systematic way to approximate the continuum of modes by discrete modes. After discretization, the scattering problem can be treated simply. Since the approach is systematic, it allows derivation of the solution to any desired degree of accuracy in theory; but in practice, it is limited by the computational resources available. We also show that our approach is variational and satisfies both the reciprocity theorem and energy conservation.

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“…Analytical solutions were obtained by several researchers for some simple structures [6] in which the ferrite slabs were transversely magnetized, while other structures or biasing in an arbitrary direction were solved using numerical methods, such as the finite-element method (FEM) [7,8]. Bresler [9] formulated the integral equation for discontinuity at the transverse plane by separating two regions in a waveguide -one isotropic and the other anisotropic -and then used the variational expression based on the integral equation to obtain numerical results for the scattering parameters. An analytical solution and experimental results for an E-plane ferrite-slab-filled rectangular waveguide were presented by O'Brien [10,11].…”

Section: Introductionmentioning

confidence: 99%

Mode-matching analysis of H-plane ferrite-loaded rectangular waveguide discontinuities

Shan

Shen

Teo

2003

Int J RF and Microwave Comp Aid Eng

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The full set of eigenmodes existing in a ferrite-slab-loaded rectangular waveguide is first obtained and then used to compute the scattering matrix of a junction between an air-filled rectangular waveguide and an H-plane ferrite-slab-loaded rectangular waveguide by using the mode-matching method. Numerical results for the scattering parameters of the H-plane waveguide discontinuity are compared to experimental data and those obtained by Ansoft's HFSS. Good agreement is observed. To demonstrate the usefulness of this structure, a computer-optimized 90°nonreciprocal phase shifter is designed using an H-plane ferrite-slab-loaded waveguide. With only one-step impedance matching sections at both ends of the ferrite slab, a compact design is achieved to have 2°phase error and less than ؊30 dB return loss over about 5% bandwidth.

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On the discontinuity problem at the input to an anisotropic waveguide

Cited by 14 publications

References 12 publications

Determination of Propagation Constants and Material Data From Waveguide Measurements

Determination of Propagation Constants and Material Data From Waveguide Measurements

Diffraction of axisymmetric waves in a borehole by bed boundary discontinuities

Mode-matching analysis of H-plane ferrite-loaded rectangular waveguide discontinuities

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