What are the exact formulas for calculating the matrice elements Lo, Co, Ro, Go, Rs, Gd

[alicealice]

Hi, The following code is a hspice code. what are the exact formulas for calculating the matrice elements Lo, Co, Ro, Go, Rs, Gd? In other words, I want Lo, Co, Ro, Go, Rs, and Gd calculation formulas. thank you.


The following input netlist file shows RLGC input for the W Element:

W1 N=3 1 3 5 0 2 4 6 0 RLGCMODEL=example_rlc l=0.97
V1 1 0 AC=1v DC=0v pulse(4.82v 0v 5ns 0.1ns 0.1ns 25ns)
.AC lin 1000 0Hz 1GHz
.DC v1 0v 5v 0.1v
.tran 0.1ns 200ns
* RLGC matrices for a four-conductor lossy
.MODEL example_rlc W MODELTYPE=RLGC N=3
+ Lo=
+ 2.311e-6
+ 4.14e-7 2.988e-6
+ 8.42e-8 5.27e-7 2.813e-6
+ Co=
+ 2.392e-11
+ -5.41e-12 2.123e-11
+ -1.08e-12 -5.72e-12 2.447e-11
+ Ro=
+ 42.5
+ 0 41.0 + 0 0 33.5
+ Go= + 0.000609
+ -0.0001419 0.000599
+ -0.00002323 -0.00009 0.000502
+ Rs=
+ 0.00135
+ 0 0.001303
+ 0 0 0.001064
+ Gd=
+ 5.242e-13
+ -1.221e-13 5.164e-13
+ -1.999e-14 -7.747e-14 4.321e-13
.end

Lo: DC inductance matrix, per unit length [H/m].
Co: DC capacitance matrix, per unit length [F/m].
Ro: DC resistance matrix, per unit length [Ω/m].
Go: DC shunt conductance matrix, per unit length [S/m].
Rs: Skin effect resistance matrix, per unit length [Ω/m√Hz].
Gd: Dielectric loss conductance matrix, per unit length [S/m.Hz].