TY - JOUR
T1 - A novel capacitance formula of the microstrip line using synthetic asymptote
AU - Kwok, S. K.
AU - Tsang, K. F.
AU - Chow, Y. L.
PY - 2003/3/5
Y1 - 2003/3/5
N2 - Capacitance formulas of the microstrip line are usually curve-fitted from numerical solutions, resulting in multiple arbitrary coefficients and multiple equations. Such complexity in equations obscures their physical insight. By using the novel technique of synthetic asymptote, a single formula with just one arbitrary constant is obtained. In this paper, the formula for the line capacitance of arbitrary substrate dielectric constant, thickness, and strip width is investigated. Important parameters of the microstrip line, such as impedance and propagation, are inferred from this capacitance formula. The average errors of the calculated parameters are only 1%. The derived capacitance formula provides insight to enable us to distinguish between the parallel plate field and the fringe field and will find important application in microwave integrated circuit design.
AB - Capacitance formulas of the microstrip line are usually curve-fitted from numerical solutions, resulting in multiple arbitrary coefficients and multiple equations. Such complexity in equations obscures their physical insight. By using the novel technique of synthetic asymptote, a single formula with just one arbitrary constant is obtained. In this paper, the formula for the line capacitance of arbitrary substrate dielectric constant, thickness, and strip width is investigated. Important parameters of the microstrip line, such as impedance and propagation, are inferred from this capacitance formula. The average errors of the calculated parameters are only 1%. The derived capacitance formula provides insight to enable us to distinguish between the parallel plate field and the fringe field and will find important application in microwave integrated circuit design.
KW - Capacitance
KW - Characteristic impedance
KW - Effective dielectric constant
KW - Microwave integrated circuit
KW - Synthetic asymptote
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U2 - 10.1002/mop.10756
DO - 10.1002/mop.10756
M3 - RGC 21 - Publication in refereed journal
SN - 0895-2477
VL - 36
SP - 327
EP - 330
JO - Microwave and Optical Technology Letters
JF - Microwave and Optical Technology Letters
IS - 5
ER -