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US 6,192,507 B1Granted
Method for generating an electrical circuit comprising dielectrics
AssigneeInternational Business Machines Corporation
InventorsAlbert Emil Ruehli, Barry Jay Rubin
Life of this patent
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Abstract
A method comprising a computational procedure for obtaining capacitances for three-dimensional geometries which include multiple regions with different dielectric constants. The methodology is not limited to uniform dielectrics. The dielectric regions can also consist of non-uniform and/or anisotropic materials.
Claims12
A method comprising:
- (a) specifying a first electrical circuit comprising a three dimensional geometry, said geometry having a dielectric portion and a conductor portion;
- (b) identifying regions within said geometry which have the same or different dielectric constants;
- and
- (c) generating a second electrical circuit derived from said first electrical circuit, said second electrical circuit having capacitive couplings which are:
- i. localized to said conductor portion;
- ii. localized to dielectric interfaces;
- iii. localized to dielectric regions;
- iv. between said conductor portion and said dielectric interfaces;
- v. between said dielectric regions and said conductor portion;
- and
- vi. between said dielectric regions and said dielectric interfaces,
- wherein said capacitive couplings localized to said conductor portion, localized to said dielectric interfaces and between said conductor portion and said dielectric interfaces are computed using an integral equation technique, and
- wherein said capacitive couplings localized to said dielectric regions, between said dielectric regions and said conductor portion, and between dielectric regions and dielectric interfaces are computed using a finite difference technique.
10 more elements
A method for modeling capacitances in a circuit comprising:
- dividing said circuit into cells;
- identifying cells associated with conductor regions, dielectric regions and dielectric interface regions;
- determining capacitances for cells associated with said dielectric regions;
- generating a first set of equations which contains a first short circuit capacitance matrix for cells associated with said conductor regions and said dielectric interface regions;
- augmenting said first short circuit capacitance matrix by stamping said capacitances for said cells associated with said dielectric regions into said first set of equations to create a second set of equations having a second short circuit capacitance matrix for said circuit;
- compressing matrix entries corresponding to cells associated with conductor regions in said second short circuit capacitance matrix to form a third set of equations having a third short circuit capacitance matrix;
- and
- determining matrix entries for said third short circuit capacitance matrix to model capacitances for said system.
5 more elements
A signal-bearing medium tangibly embodying a program of machine-readable instructions executable by a digital data processing apparatus to perform a method for modeling capacitances, said method comprising:
- dividing said circuit into cells;
- identifying cells associated with conductor regions, dielectric regions and dielectric interface regions;
- determining capacitances for cells associated with said dielectric regions;
- generating a first set of equations which contains a first short circuit capacitance matrix for cells associated with said conductor regions and said dielectric interface regions;
- augmenting said first short circuit capacitance matrix by stamping said capacitances for said cells associated with said dielectric regions into said first set of equations to create a second set of equations having a second short circuit capacitance matrix for said circuit;
- compressing matrix entries corresponding to cells associated with conductor regions in said second short circuit capacitance matrix to form a third set of equations having a third short capacitance matrix;
- and
- determining matrix entries for said third short circuit capacitance matrix to model capacitances for said system.
5 more elements
Dependencies are inferred from the claim text.