Design and Modeling of Inductors, Capacitors and Coplanar Waveguides at Tens of GHz Frequencies by Naser Pour Aryan

Author:Naser Pour Aryan
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

In the above formula c is the speed of light in air (or vacuum). So as will not change with substrate, from this simulation set the distributed inductance of the coplanar lines are extracted in order to be used in the next two sets of simulations. From the resulting and , (see Figs. 3.2, 3.3 and 3.5) was calculated, using the following procedure ( is the slot width):

Which is the definition of the characteristic impedance, and then:

The division by two in the first expression on the right side is because is just the capacitance due to the top half-space in the line model. The second term is the capacitance due to the thickness of the metal. The metal thickness capacitance is treated like a parallel plate capacitor. Only half of the metalization thickness (1.5 of 3 m) is considered due to the fact that the other half has already been included implicitly in the first term ( / 2), but because this capacitance exists on both sides of the center metal, it is also multiplied by 2.

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