Analytical Evaluation of Via-Plate Capacitance for Multilayer Printed Circuit Boards and Packages

• Published in: IEEE transactions on microwave theory and techniques Vol. 56; no. 9; pp. 2118 - 2128
• Main Authors: Yaojiang Zhang, Fan, J., Selli, G., Cocchini, M., de Paulis, F.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.09.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Analytical formula; Applied sciences; Boards; Capacitance; Coaxial components; Conductors; Design. Technologies. Operation analysis. Testing; Diffraction, scattering, reflection; Electronic equipment and fabrication. Passive components, printed wiring boards, connectics; Electronics; Exact sciences and technology; Green's function in a coaxial cavity; Green's function methods; Holes; Integrated circuits; Magnetic analysis; Magnetic multilayers; Mathematical analysis; Mathematical models; multilayer package/printed circuit board (PCB); Multilayers; Nonhomogeneous media; Packaging; Printed circuit boards; Printed circuits; Radiocommunications; Radiowave propagation; Reflection; Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices; signal integrity; Telecommunications; Telecommunications and information theory; via-holes; via-plate capacitance; Walls; multilayer package/printed circuit board (PCB); Frequency dependence; via-plate capacitance; Analytical formula; Printed circuit board; Quasi static theory; Numerical method; Green function; Wave reflection; via-holes; Perfectly matched layer; Cylindrical wave; Cavity; Electronic packaging; Green's function in a coaxial cavity; Capacitance; Printed circuit; Multilayered printed circuit board; Signal integrity; Reflectance; Parallel plate; Via hole

The via-plate capacitance for a via transition to a multilayer printed circuit board is evaluated analytically in terms of higher order parallel-plate modes. The Green's function in a bounded coaxial cavity for a concentric magnetic ring current is first derived by introducing reflection coeffi...