Method and apparatus for simulating physical fields
Abstract
In order to design on-chip interconnect structures in a flexible way, a CAD approach is advocated in three dimensions, describing high frequency effects such as current redistribution due to the skin-effect or eddy currents and the occurrence of slow-wave modes. The electromagnetic environment is described by a scalar electric potential and a magnetic vector potential. These potentials are not uniquely defined, and in order to obtain a consistent discretization scheme, a gauge-transformation field is introduced. The displacement current is taken into account to describe current redistribution and a small-signal analysis solution scheme is proposed based upon existing techniques for static fields in semiconductors. In addition methods and apparatus for refining the mesh used for numerical analysis is described.
Claims
exact text as granted — not AI-modified1 . (canceled)
2 . (canceled)
3 . A program storage device readable by a machine and encoding a program of instructions for executing a method of numerically analyzing a simulation of a physical system, the physical system being describable by equations comprising a parameter, the method comprising:
solving the equations modified by an addition of a dummy field by numerical analysis, and outputting at least one parameter relating to a physical property of the system.
4 . (canceled)
5 . A computer program product for numerical analysis of a simulation of a physical system, the physical system being describable by equations comprising a parameter, the computer program product comprising:
code for solving the field equations modified by an addition of a dummy field by numerical analysis, and code for outputting at least one parameter relating to a physical property of the system.
6 . A computer program product for numerical analysis of a simulation of a physical system, the physical system being describable by Maxwell's field equations of which the following is a representation:
∇
×
(
1
μ
∇
×
A
)
=
J
-
ɛ
∂
∂
t
(
∇
V
+
∂
A
∂
t
)
∇
·
A
=
0
-
∇
(
ɛ
∇
V
)
=
ρ
E
=
-
∇
V
-
∂
A
∂
t
B
=
∇
×
A
where
J
=
J
(
E
,
B
,
t
)
ρ
=
ρ
(
E
,
B
,
t
)
the computer program product comprising:
code for solving the field equations modified by an addition of a dummy field by numerical analysis, and
code for outputting at least one parameter relating to a physical property of the system.
7 . (canceled)
8 . (canceled)
9 . (canceled)
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