1990
DOI: 10.1109/22.57327
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The nature of the charges, currents, and fields in and about conductors having cross-sectional dimensions of the order of a skin depth

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Cited by 30 publications
(7 citation statements)
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“…The charge density ρ and the current density J are nonzero only in the conducting walls; as far as the dielectric is concerned, their effects are supplanted by boundary conditions. In accordance with the traditional analysis, we presume that the skin depth can be taken to be zero (valid for superconductors at all frequencies, perfect conductors at all nonzero frequencies, and good conductors at sufficiently high frequencies; this assumption has been explored in depth in Matthaei et al (1990), so next to a conducting wall with normal n pointing into the dielectric we have (see Balanis, 1989;Collin, 1991Collin, , 1992Harrington, 1961;Jackson, 1962;Jones, 1989;Kraus, 1984;Panofsky & Phillips, 1962;Ramo, Whinnery, & Van Duzer, 1965;Sadiku, 1994) D normal = surface charge density, E tangential = 0;…”
Section: Governing Equationsmentioning
confidence: 94%
“…The charge density ρ and the current density J are nonzero only in the conducting walls; as far as the dielectric is concerned, their effects are supplanted by boundary conditions. In accordance with the traditional analysis, we presume that the skin depth can be taken to be zero (valid for superconductors at all frequencies, perfect conductors at all nonzero frequencies, and good conductors at sufficiently high frequencies; this assumption has been explored in depth in Matthaei et al (1990), so next to a conducting wall with normal n pointing into the dielectric we have (see Balanis, 1989;Collin, 1991Collin, , 1992Harrington, 1961;Jackson, 1962;Jones, 1989;Kraus, 1984;Panofsky & Phillips, 1962;Ramo, Whinnery, & Van Duzer, 1965;Sadiku, 1994) D normal = surface charge density, E tangential = 0;…”
Section: Governing Equationsmentioning
confidence: 94%
“…Also, it is assume that the lateral dimensions of the CPW, 2(WϩG) is much less than g /2 allowing a quasi-TEM approximation [4,5]. The ground planes are suggested to be extended to infinity and the dielectric layers with low losses or being lossless.…”
Section: Multi-layered Substrate Analysis By Conformal Mappingmentioning
confidence: 99%
“…q i is the filling factor. Equation (5) indicates that the total effective dielectric constant is the sum of the dielectric constant of each layer multiplied by the filling factor. In other words, the filling factor is a measure of the proportionality of electromagnetic energy inside each layer.…”
Section: Multi-layered Substrate Analysis By Conformal Mappingmentioning
confidence: 99%
“…A quasi-TEM mode is assumed to be the only mode to propagate down the waveguides [6], and the dielectric is assumed to have negligible losses. These assumptions allow the waveguides to be modeled as transmission lines with per-unit length series resistance, series inductance, and shunt capacitance.…”
Section: Numerical Calculationsmentioning
confidence: 99%