Three-Dimensional Integration and Modeling Part 5 doc

MICROSTRIP-TYPE INTEGRATED FILTERS 31

FIGURE 4.9: (a) External quality factor (Qext) evaluated as a function of overlap distance (Lover) (b)

Coupling coefficient, k12, as a function of coupling spacing (d12) between 1st resonator and 2nd resonator.

Figure 4.9(a) shows the Qext evaluated as a function of overlap distance (Lover). A larger

Lover results in a stronger input/output coupling and smaller Qext. Then, the required kij is obtained

against the variation of distance [dij in Fig. 4.7(a)] for a fixed Qext at the input/output ports. Full￾wave simulation was also employed to find two characteristic frequencies (fp1, fp2) that represent