Quasi‐static parameters, low‐frequency solutions, and full‐wave solutions of a single‐layered via

Li, Qin; Tsang, Leung; Chen, Houfei

doi:10.1002/mop.10508

Cited by 8 publications

(3 citation statements)

References 12 publications

(27 reference statements)

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“…Hence represents the th-order fields from self-radiation. Allowing for all possible azimuthal modes of order (10) where and denotes the th-order Hankel function of the second kind. The unknown coefficient represents barrel radiation into the mode and is to be determined.…”

Section: B Radiation From the Testing Magnetic Ring Frillmentioning

confidence: 99%

“…Quasi-static analyses were applied to extract these elements [5]- [9]. However, the accuracy of this circuit model deteriorates as the frequency increases [10], since the via barrels and the antipads become good radiators as they excite the propagating parallel-plate modes. This unintentional radiation becomes more significant in the higher frequency region and generates serious electromagnetic interference (EMI) and gives rise to signal integrity (SI) issues.…”

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confidence: 99%

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A Semianalytical Model for Vias With Arbitrarily Shaped Antipads Based on the Reciprocity Theorem

Guo

Jackson

2014

IEEE Trans. Microwave Theory Techn.

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We present a semianalytical model for a dense layout of vias in an infinite parallel-plate environment. An arbitrarily shaped antipad configuration is addressed. The network parameters for the multi-via structure are calculated based on the reciprocity theorem, where a unit-strength magnetic testing ring frill is used to compute the currents flowing on the surface of the via barrels. The motivation for using reciprocity is to bypass the sophisticated computation of the radiation from the irregular-shaped antipad aperture; instead, a much simpler field from the reciprocal testing source is formulated. Also the higher-order parallel-plate mode radiation from this testing frill is highly localized and hence there is little interaction among vias through higher-order modes. This rapidly-decaying field makes the mode-matching computation converge very fast. Furthermore, the testing frill radiates an omnidirectional reactive near field that can be expressed in a closed-form, making the method computationally efficient. Numerical examples demonstrate the efficiency and accuracy of the proposed algorithm.

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Section: B Radiation From the Testing Magnetic Ring Frillmentioning

confidence: 99%

mentioning

confidence: 99%

A Semianalytical Model for Vias With Arbitrarily Shaped Antipads Based on the Reciprocity Theorem

Guo

Jackson

2014

IEEE Trans. Microwave Theory Techn.

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“…For the exterior problem, we first treated it as coaxial cable feed in [10] and then treated it as wire transmission line centered with the exterior part of the via. Both full-wave [11][12][13] and quasistatic [14] solutions for the exterior problem were calculated. However, for a practical printed circuit board, the microstrip line is often used, and pad and anti-pad are used to connected the vias.…”

Section: Introductionmentioning

confidence: 99%

Analysis of via discontinuity

Chen

Huang

Tsang

et al. 2003

Micro & Optical Tech Letters

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A method for full‐wave modeling of the exterior structure of vertical via, which considers the actual layout of an exterior structure with pad and vertical bent into the via, is presented. This method is more accurate than simple coaxial cable feed‐in and thin‐wire approximation because it takes into account the effect of pad and vertical bent. Good results are obtained for structures and frequencies where thin‐wire approximation no longer stands. Combined with interior formulation developed in a previous paper, we illustrate the propagation characteristics of multilayered vertical via and multivia geometry. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 39: 290–295, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.11194

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Application of the Foldy–Lax multiple scattering method to the analysis of vias in ball grid arrays and interior layers of printed circuit boards

Ong

Miller

Tsang

et al. 2006

Micro & Optical Tech Letters

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pulses radiated per antenna, and the number of antennas in an array. For example, if each pulse carries 1 mJ of energy, it would be permissible to couple up to 28,000 pulses into the breast over a 6 min period. In a practical UWB microwave radar imaging scenario, an array of antennas surrounds the breast volume and each element sequentially illuminates the breast. A typical array may contain on the order of 50 antennas, suggesting that up to 560 pulses could be transmitted by each antenna without exceeding the peak 1-g SA limit suggested in the IEEE exposure guideline. Note that the level of exposure of 560 pulses per antenna is much higher than we anticipate needing for this application. CONCLUSIONSWe have investigated the absorption of short (120 ps, 6-GHzcarrier) microwave pulses in anatomically realistic numerical breast phantoms in an effort to formally evaluate the safety of UWB microwave breast cancer detection technology operating in the 1-11 GHz range. We have found that the SA does not vary greatly with patient-to-patient variations in breast shape, tissue composition, or fibroglandular dielectric properties. While the specific characteristics (antenna radiation patterns, coupling media properties, etc.) of future clinical systems may differ from those assumed for this computational study, the SA values are not expected to vary significantly as a function of those characteristics. The normalized SA values reported in this paper can be scaled to account for the total number of pulses radiated and different pulse energies, providing valuable guidance in the design of future clinical systems that are in compliance with safety standards. For anticipated embodiments of such a system, we conclude that UWB microwave breast cancer detection modalities pose no health risk to the patient.

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Quasi‐static parameters, low‐frequency solutions, and full‐wave solutions of a single‐layered via

Abstract: The problem of a single-layered via through two parallel ground planes is studied. The problem is decomposed into the exterior

Cited by 8 publications

References 12 publications

A Semianalytical Model for Vias With Arbitrarily Shaped Antipads Based on the Reciprocity Theorem

A Semianalytical Model for Vias With Arbitrarily Shaped Antipads Based on the Reciprocity Theorem

Analysis of via discontinuity

Application of the Foldy–Lax multiple scattering method to the analysis of vias in ball grid arrays and interior layers of printed circuit boards

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