Page 229 - System on Package_ Miniaturization of the Entire System

Mixed-Signal (SOP) Design 203

0 0
−1
−10
−2
S11 [dB] S12 [dB] −3
−20
−30
−4
Multi-layer FDM
−40 Sonnet Multi-layer FDM
−5
Sonnet
−50 −6
0 1 2 3 4 5 0 1 2 3 4 5
Frequency [Hz] ×10 9 Frequency [Hz] ×10 9
−10
Multi-layer FDM
−20 S Sonnet

S13 [dB] −30
−40
−50

−60
−70
0 1 2 3 4 5
Frequency [Hz] ×10 9

FIGURE 4.52 Results for test structure.
resonator method, which is based on the Green’s function of rectangular planes,
provides a circuit representation of the planes; therefore, it is easy to incorporate in
circuit simulators. The finite-element method (FEM) allows triangular meshes; however,
the fringing capacitance on the open boundaries is still being neglected, so using a
triangular mesh may not provide much improvement in accuracy.

Finite-Difference
Method Cavity Resonator Finite Elements
Arbitrary plane Good Bad Very good
geometries (triangular
patches)
Network representation Good Very Good Bad
for circuit simulations
Computation of noise Very good Bad Very good
voltage distribution on
each node
Speed Good Depends on Good
geometry
TABLE 4.7 Comparison of Plane Modeling Methods Based on the 2D Helmholtz Equation