Modelling of PCB transients with boundary elements/method of moments in the frequency domain

Tham, Choy Yoong; McCowen, A.; Towers, M.S.

doi:10.1016/s0955-7997(02)00119-4

Cited by 8 publications

(3 citation statements)

References 20 publications

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“…At the wall of the waveguide, the tangential electric and magnetic fields -i.e. E t and H t , respectively are related through a surface impedance Z s by [30]- [32]:…”

Section: Propagation Constant In a Rectangular Waveguidementioning

confidence: 99%

Attenuation in Superconducting Rectangular Waveguides

et al. 2015

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We present an accurate analysis on the attenuation of waves, propagating in rectangular waveguides with superconducting walls. The wavenumbers k x and k y in the x and y directions, respectively, are first obtained as roots of a set of transcendental equations developed by matching the tangential fields at the surface of the wall with the electrical properties of the wall material. The complex conductivity of the superconducting waveguide is obtained from the extended Mattis-Bardeen theory. The propagation constant k z is found by substituting the values of k x and k y into the dispersion relation. We have computed and compared the loss in the waveguides below and above the critical temperature. At frequencies above the cutoff frequency f c but below the gap frequency f g , the loss in the superconducting waveguide is significantly lower than that in a normal conducting waveguide. Above the gap frequency, however, the result indicates that the attenuation in the waveguide below the critical temperature is higher than that at room temperature. We attribute the higher loss as due to the higher surface resistance and field penetration for superconducting waveguides operating above the gap frequency.

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“…At the wall of the waveguide, the tangential electric and magnetic fields -i.e. E t and H t , respectively are related through a surface impedance Z s by [30]- [32]:…”

Section: Propagation Constant In a Rectangular Waveguidementioning

confidence: 99%

Attenuation in Superconducting Rectangular Waveguides

et al. 2015

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“…At the boundary of the dielectricconductor interface, E t and H t in the dielectric substrate are related through the surface impedance Z s of the conductor by [38], [39]: At the boundary of the dielectricconductor interface, E t and H t in the dielectric substrate are related through the surface impedance Z s of the conductor by [38], [39]:…”

Section: Formulation Of the Transcendental Equationmentioning

confidence: 99%

Full Wave Analysis of Normal and Superconducting Microstrip Transmission Lines

Yeap¹,

Tham²,

Yeong³

et al. 2010

Frequenz

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We present a full wave analysis to compute the propagation constant of electromagnetic waves traveling in a normal and superconducting microstrip transmission line. The transverse wavenumber in the dielectric substrate is obtained as the root of a set of transcendental equation, derived by matching the tangential fields at the dielectric-conductor and dielectric-air interfaces. The propagation constant can then be obtained by substituting the transverse wavenumber into the dispersion relation. For normal microstrip lines, we found good agreement between our results and those obtained using the quasi-static methods. As compared to some of the available techniques used to calculate loss in superconducting microstrip lines, such as Maticks and Yassin-Withingtons method, our method gives higher loss especially in the regime of millimeter and submillimeter wavelengths. Since our method takes into account the superposition of TE and TM modes, we attribute the differences as due to the fringing fields effect and the existence of the longitudinal field components in our formulation.Index Terms -propagation constant, superconducting microstrip, dispersion relation, submillimeter wavelengths, fringing fields effect. Formulation Fields in the dielectric substrateThe microstrip configuration analyzed here is partially enclosed as indicated in Fig. 1. The sidewalls at x = AEa/2 are perfectly conducting and the width a approaches infinity so Frequenz 64 (2010) 3-4

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“…Though h(t) and H (s) are equivalent for describing a linear time invariant system, sometimes, h(t) is preferred, such as when inspecting the system causality, or computing in time domain [3,8,11,14,15]. For simple systems, the transform from H (s) to h(t) can be carried out analytically [16,17].…”

Section: Introductionmentioning

confidence: 99%

A semi‐analytic approach to retrieve the unitary impulse response function

Chen

Zhang

2006

Earthq Engng Struct Dyn

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Two kinds of errors occur in numerically transforming the transfer function (TF) to the unitary impulse response function (UIRF), the truncating error due to ignoring high frequency band contribution, and the discrete error due to numerical integration. The truncating error becomes prevailing if the TF attenuating trend is slow as the frequency approaches infinity. A semi-analytic approach is presented to alleviate this error. This approach dissects the whole frequency axis symmetrically into three bands, the central band, and two side bands extending to infinity. The contribution from the central band is calculated numerically, while the TF over the side bands is approximated as a simple function with an explicitly known inverse Laplace transform. This approach can overcome the Gibbs oscillation in computing the UIRF for a slowly attenuating TF, as is verified by the numerical examples studied here.

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Modelling of PCB transients with boundary elements/method of moments in the frequency domain

Cited by 8 publications

References 20 publications

Attenuation in Superconducting Rectangular Waveguides

Attenuation in Superconducting Rectangular Waveguides

Full Wave Analysis of Normal and Superconducting Microstrip Transmission Lines

A semi‐analytic approach to retrieve the unitary impulse response function

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