Equivalent circuit analysis for vias in multilayered printed circuit boards by optimization method
Y. Shiraki, Kengo Sugahara, Yuichiro Murata, Shinya Nishi
Abstract
Y. Shiraki, Kengo Sugahara, Yuichiro Murata, Shinya Nishi
Abstract
Abstract In this paper, a highly accurate equivalent circuit is constructed that can calculate the transmission characteristics of the vias connecting the layers in multilayered printed circuit boards. Various factors of the vias affecting the transmission characteristics are discussed. The present equivalent circuit is based on the physical structure and the equivalent circuit parameters are determined by an optimization method. The equivalent circuit is applied to the vias in printed circuit boards with more than 10 layers. The results of evaluation of the transmission characteristics in the gigahertz range are verified by the FDTD method and by measurement so as to verify their validity. Further, by using the present equivalent circuit, the effects of various factors of the vias on the transmission characteristics are studied. It is demonstrated that the time needed for study by the equivalent circuit is less than that needed for numerical analysis. © 2007 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 90(9): 1–10, 2007; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjb.20350
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Abstract In this paper, a highly accurate equivalent circuit is constructed that can calculate the transmission characteristics of the vias connecting the layers in multilayered printed circuit boards. Various factors of the vias affecting the transmission characteristics are discussed. The present equivalent circuit is based on the physical structure and the equivalent circuit parameters are determined by an optimization method. The equivalent circuit is applied to the vias in printed circuit boards with more than 10 layers. The results of evaluation of the transmission characteristics in the gigahertz range are verified by the FDTD method and by measurement so as to verify their validity. Further, by using the present equivalent circuit, the effects of various factors of the vias on the transmission characteristics are studied. It is demonstrated that the time needed for study by the equivalent circuit is less than that needed for numerical analysis. © 2007 Wiley Periodicals, Inc. Electron Comm Jpn Pt 2, 90(9): 1–10, 2007; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/ecjb.20350
Key concepts: Equivalent circuit, Printed circuit board, Discrete circuit, Electronic engineering, Circuit design, Integrated circuit, Circuit extraction, Network analysis