EFIE-based MoM (Part V)
- Volumetric Dielectric Formulation
E8-202 Class 11
2
• 2D vs 2.5D vs. 3D Formulations
• Electrostatic Formulation: Capacitance matrix extraction
• Magnetostatic Formulation: Inductance matrix extraction
• Electric Field Integral Equation (EFIE): S-parameter extraction
• Partial Element Equivalent Circuit (PEEC) Method
• Magnetic Field Integral Equation (MFIE) and Combined Field Integral Equation (CFIE)
• PMCHWT Formulation: Dielectric modeling
• Parallelization techniques
Module 2: Method of Moments
• D. H. Schaubert, D. R. Wilton, and A. W. Glisson, “A tetrahedral
modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies,” IEEE Trans. Antennas Propag., vol.
AP-32, pp. 77–85, Jan. 1984.
References
4
Volumetric Formulation (Preferred)
• Equation:
E j D
j
J r 0
0
r T
i
s
j
E J E
E
j A
j E J
r i
0
j A
j
D E j
r i
0
Volumetric Formulation
• Basis Function:
D j
f s
6
Term 1
j A
j
D E j
r i
0
r f t
j
D
j ,
0
t r s
f j
f ,
dv f
j f
tv s r
1 .
Term 2
f t
A j ,
ds GJ f
j
t s
t.
ds D Gj f
j
t s
t
.
ds r f
r f e
j
t s
s r r jk
t
. ' 4
'
8
Term 3
f t
,
t t
t t
m
n dt f dt f dt
f
. ˆ . .
j f j
f
s s
. . . 3a
3b
t s
r r jk
t s t
t r
r jk s
t s
a t
dsdt
r r e j
V dsdt A r
r e j
V V
A T A
' 4
1 '
4
' 0
' 0
3
++ term only mentioned
t s
r r jk
t s
r r jk s
b s
dsdt
r r e dsdt j
r r e j
V T A
' 4
1 '
4
' 0
' 0
3
Surface
Surface