WO1997020276B1 - Conformal meshing for electromagnetic analysis of planar circuits - Google Patents
Conformal meshing for electromagnetic analysis of planar circuitsInfo
- Publication number
- WO1997020276B1 WO1997020276B1 PCT/US1996/019168 US9619168W WO9720276B1 WO 1997020276 B1 WO1997020276 B1 WO 1997020276B1 US 9619168 W US9619168 W US 9619168W WO 9720276 B1 WO9720276 B1 WO 9720276B1
- Authority
- WO
- WIPO (PCT)
- Prior art keywords
- subsection
- subsections
- strings
- circuit
- edge
- Prior art date
Links
- 230000000875 corresponding Effects 0.000 claims abstract 3
- 230000005540 biological transmission Effects 0.000 claims 5
- 239000011159 matrix material Substances 0.000 claims 5
- 230000001808 coupling Effects 0.000 claims 4
- 238000010168 coupling process Methods 0.000 claims 2
- 238000005859 coupling reaction Methods 0.000 claims 2
- 238000000034 method Methods 0.000 abstract 2
- 230000000694 effects Effects 0.000 abstract 1
- 239000002184 metal Substances 0.000 abstract 1
Abstract
Conformal meshing is a technique for selecting basis functions such that an accurate representation of the actual current distribution is realized with only a few subsections. This invention relates to conformal meshing, which allows a circuit to be analyzed with an error corresponding to a very small cell size while maintaining the speed normally seen when using a large cell size. Conformal meshing in accordance with this invention bends the subsection to fit the edge of the metal. The current distribution in the subsection is also modified by the introduction of strings, as will be described in more detail later, to accurately represent the high edge current caused by the edge effect. This represents a considerable improvement over existing meshing techniques.
Claims
1. In a data processing system, a method for electromagnetic analysis of circuits having curved edges by dividing a conduction portion of the circuit into a plurality of subsections; calculating a coupling between each pair of adjacent subsections by assuming the current on one
5 subsection and calculating the voltage induced in an adjacent subsection; storing the pairwise couplings in a matrix and inverting the matrix to produce the desired result in which the improvement comprises: conforming at least one edge of a subsection corresponding to a portion of the planar circuit having a curved boundary to such boundary to 0 produce a subsection having at least one curved edge.
2. The method of claim 1 further comprising: dividing at least one subsection having a curved edge into a plurality of strings, each string representing a filament of current having a small width, and assigning weights to the strings corresponding to known current distribution across
5 the width of the planar transmission line.
3. The method of claim 2 in which the plurality of strings comprises a plurality of strings having different widths.
4. The method of claim 2 in which the plurality of strings comprises a plurality of strings at least one of whose width varies along its length.
5. The method of claim 2 in which at least one of said strings overlaps at least two subsections.
6. The method of claim 2 in which the current in at least one string decreases linearly along its length.
7. The method of claim 6 in which the width of the at least one string decreases along its length to provide a piece wise linear representation of the current in the string.
8. The method of claim 2 in which at least one of said plurality of strings in each of a pair of adjacent but non overlapping subsections comprises a funnel extending to a common point on a boundary between the subsections for allowing current to flow between the sections.
9. The method of claim 2 in which each of at least two open edges of a portion of a transmission line is represented by a separate subsection, and the currents from each open edge taper linearly towards the other open
-23- edge so that the sum of the currents of the two separate subsections combine to accurately represent the current in the center of the portion of the transmission line.
10. The method of claim 9 further comprising a cross-over string extending from a mutual meeting point for adjacent subsections on one side of a transmission line to a mutual meeting point for adjacent subsections on an opposite side of the transmission line.
11. In a data processing system, a method of measuring the impedance of a three dimensional planar electrical circuit at a high frequency comprising the steps of: storing a datafile in a computer memory representing the topology of the electrical circuit; meshing the circuit into a plurality of subsections that conform to the edges of the circuit; dividing each subsection into a plurality of strings extending from a first mutual meeting point on an edge of the subsection to a second mutual meeting point on an edge of the subsection; using a computer processor to calculate the coupling between each pair of adjacent subsections by assuming the current on one subsection and calculating the voltage induced in an adjacent subsection; storing the pairwise couplings in a matrix in the memory; using a computer processor connected to the memory to invert the matrix; and storing the inverted matrix representing the electromagnetic characteristics of the circuit in the memory.
12. The method of claim 11 comprising displaying the electromagnetic characteristics of the circuit on a computer display in which areas of the circuit in which relatively high currents flow are displayed in a different color than areas of the circuit in which relatively lower currents flow.
13. The method of claim 1 in which the circuits are planar.
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US09/077,644 US6163762A (en) | 1995-12-01 | 1996-11-27 | Conformal meshing for electromagnetic analysis of planar circuits |
Applications Claiming Priority (2)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
US785695P | 1995-12-01 | 1995-12-01 | |
US60/007,856 | 1995-12-01 |
Publications (2)
Publication Number | Publication Date |
---|---|
WO1997020276A1 WO1997020276A1 (en) | 1997-06-05 |
WO1997020276B1 true WO1997020276B1 (en) | 1997-07-03 |
Family
ID=21728466
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
PCT/US1996/019168 WO1997020276A1 (en) | 1995-12-01 | 1996-11-27 | Conformal meshing for electromagnetic analysis of planar circuits |
Country Status (2)
Country | Link |
---|---|
US (1) | US6163762A (en) |
WO (1) | WO1997020276A1 (en) |
Families Citing this family (8)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US6381729B1 (en) * | 1999-03-31 | 2002-04-30 | International Business Machines Corporation | Data processing system and method for efficient determination of return current spread |
US6727776B2 (en) * | 2001-02-09 | 2004-04-27 | Sarnoff Corporation | Device for propagating radio frequency signals in planar circuits |
US20040054509A1 (en) * | 2002-09-12 | 2004-03-18 | Breit Stephen R. | System and method for preparing a solid model for meshing |
GB2411743A (en) * | 2004-03-02 | 2005-09-07 | Agilent Technologies Inc | Modelling current flows in three-dimensional conductive and dielectric bodies |
US7356791B2 (en) * | 2005-05-27 | 2008-04-08 | Sonnet Software, Inc. | Method and apparatus for rapid electromagnetic analysis |
US8479127B1 (en) | 2006-10-10 | 2013-07-02 | Sonnet Software, Inc. | Network accessible system for synthesis of an electronic circuit model |
US7945876B2 (en) * | 2006-10-10 | 2011-05-17 | Sonnet Software, Inc. | Method and apparatus for automatic synthesis of an electronic circuit model |
US11416657B2 (en) * | 2020-03-20 | 2022-08-16 | Sonnet Software, Inc. | Method for simulating vertically oriented current in a structure |
Family Cites Families (11)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JPH07120351B2 (en) * | 1986-03-14 | 1995-12-20 | 株式会社日立製作所 | Simulation program generation method |
JPS63238665A (en) * | 1987-03-26 | 1988-10-04 | Toshiba Corp | Forming device for triangular mesh for digitizing |
JP2635617B2 (en) * | 1987-09-29 | 1997-07-30 | 株式会社東芝 | Method of generating orthogonal lattice points for evaluating semiconductor device characteristics |
US4933889A (en) * | 1988-04-29 | 1990-06-12 | International Business Machines Corporation | Method for fine decomposition in finite element mesh generation |
JPH03263174A (en) * | 1990-03-14 | 1991-11-22 | Hitachi Ltd | Program generating method and area dividing method for same |
US5488566A (en) * | 1992-06-02 | 1996-01-30 | Eldec Corporation | Multi-coil impedance |
US5282140A (en) * | 1992-06-24 | 1994-01-25 | Intel Corporation | Particle flux shadowing for three-dimensional topography simulation |
US5379225A (en) * | 1992-06-24 | 1995-01-03 | Intel Corporation | Method for efficient calculation of vertex movement for three-dimensional topography simulation |
US5367465A (en) * | 1992-06-24 | 1994-11-22 | Intel Corporation | Solids surface grid generation for three-dimensional topography simulation |
JP2744888B2 (en) * | 1993-09-10 | 1998-04-28 | インターナショナル・ビジネス・マシーンズ・コーポレイション | Method and system for partitioning 3-D object into regions |
US5579249A (en) * | 1993-11-01 | 1996-11-26 | Texas Instruments Incorporated | System for modeling an integrated chip package and method of operation |
-
1996
- 1996-11-27 WO PCT/US1996/019168 patent/WO1997020276A1/en active Application Filing
- 1996-11-27 US US09/077,644 patent/US6163762A/en not_active Expired - Lifetime
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