WO2014201060A3 - Computer simulation of electromagnetic fields - Google Patents

Computer simulation of electromagnetic fields Download PDF

Info

Publication number
WO2014201060A3
WO2014201060A3 PCT/US2014/041805 US2014041805W WO2014201060A3 WO 2014201060 A3 WO2014201060 A3 WO 2014201060A3 US 2014041805 W US2014041805 W US 2014041805W WO 2014201060 A3 WO2014201060 A3 WO 2014201060A3
Authority
WO
WIPO (PCT)
Prior art keywords
electromagnetic fields
coefficients
computer simulation
electromagnetic
action integral
Prior art date
Application number
PCT/US2014/041805
Other languages
French (fr)
Other versions
WO2014201060A2 (en
Inventor
Terje VOLD
Original Assignee
Vold Terje
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from US13/914,507 external-priority patent/US8849627B2/en
Priority claimed from US13/923,305 external-priority patent/US9002685B2/en
Priority claimed from US14/261,415 external-priority patent/US9286419B2/en
Application filed by Vold Terje filed Critical Vold Terje
Priority to EP14810283.3A priority Critical patent/EP3008619A4/en
Publication of WO2014201060A2 publication Critical patent/WO2014201060A2/en
Publication of WO2014201060A3 publication Critical patent/WO2014201060A3/en
Priority to US14/788,458 priority patent/US9589083B2/en

Links

Classifications

    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/11Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/13Differential equations
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/0064Arrangements or instruments for measuring magnetic variables comprising means for performing simulations, e.g. of the magnetic variable to be measured
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R29/00Arrangements for measuring or indicating electric quantities not covered by groups G01R19/00 - G01R27/00
    • G01R29/08Measuring electromagnetic field characteristics
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2111/00Details relating to CAD techniques
    • G06F2111/10Numerical modelling

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Theoretical Computer Science (AREA)
  • Mathematical Analysis (AREA)
  • Computer Hardware Design (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • General Engineering & Computer Science (AREA)
  • Data Mining & Analysis (AREA)
  • Condensed Matter Physics & Semiconductors (AREA)
  • Geometry (AREA)
  • Evolutionary Computation (AREA)
  • Operations Research (AREA)
  • Algebra (AREA)
  • Databases & Information Systems (AREA)
  • Software Systems (AREA)
  • Complex Calculations (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

A method and system is provided for solving for electromagnetic fields by approximating an electromagnetic function as a sum of basis functions multiplied by coefficients to be determined. The set of equations used to determine the coefficients results from taking derivatives of the action integral with respect to the coefficients (and/or other parameters) and setting the derivative equal to zero, thereby extremizing the action integral.
PCT/US2014/041805 2010-07-19 2014-06-10 Computer simulation of electromagnetic fields WO2014201060A2 (en)

Priority Applications (2)

Application Number Priority Date Filing Date Title
EP14810283.3A EP3008619A4 (en) 2013-06-10 2014-06-10 Computer simulation of electromagnetic fields
US14/788,458 US9589083B2 (en) 2010-07-19 2015-06-30 Computer simulation of electromagnetic fields

Applications Claiming Priority (6)

Application Number Priority Date Filing Date Title
US13/914,507 US8849627B2 (en) 2010-07-19 2013-06-10 Computer simulation of electromagnetic fields
US13/914,507 2013-06-10
US13/923,305 2013-06-20
US13/923,305 US9002685B2 (en) 2010-07-19 2013-06-20 Computer simulation of electromagnetic fields
US14/261,415 2014-04-24
US14/261,415 US9286419B2 (en) 2010-07-19 2014-04-24 Computer simulation of electromagnetic fields

Related Parent Applications (1)

Application Number Title Priority Date Filing Date
US14/261,415 Continuation-In-Part US9286419B2 (en) 2010-07-19 2014-04-24 Computer simulation of electromagnetic fields

Related Child Applications (1)

Application Number Title Priority Date Filing Date
US14/788,458 Continuation-In-Part US9589083B2 (en) 2010-07-19 2015-06-30 Computer simulation of electromagnetic fields

Publications (2)

Publication Number Publication Date
WO2014201060A2 WO2014201060A2 (en) 2014-12-18
WO2014201060A3 true WO2014201060A3 (en) 2015-02-26

Family

ID=52022929

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/US2014/041805 WO2014201060A2 (en) 2010-07-19 2014-06-10 Computer simulation of electromagnetic fields

Country Status (2)

Country Link
EP (1) EP3008619A4 (en)
WO (1) WO2014201060A2 (en)

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US9589083B2 (en) 2010-07-19 2017-03-07 Terje Graham Vold Computer simulation of electromagnetic fields
CN114611455B (en) * 2022-03-17 2022-11-18 南京邮电大学 Two-dimensional capacitance extraction method based on improved finite difference method
CN115146218B (en) * 2022-05-30 2024-02-09 西北工业大学 Method for constructing low-frequency dipole array radiation field distribution computing platform under sea surface

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020022946A1 (en) * 1999-02-10 2002-02-21 Asher Yahalom Method and system for numerical simulation of fluid flow
US20020186945A1 (en) * 2001-05-16 2002-12-12 Thomas Szkopek Novel multimode fiber for narrowband bragg gratings
US20040167757A1 (en) * 2003-02-20 2004-08-26 Robert Struijs Method for the numerical simulation of a physical phenomenon with a preferential direction

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6353801B1 (en) * 1999-04-09 2002-03-05 Agilent Technologies, Inc. Multi-resolution adaptive solution refinement technique for a method of moments-based electromagnetic simulator
US20080097730A1 (en) * 2000-09-29 2008-04-24 Canning Francis X Sparse and efficient block factorization for interaction data
US6904374B2 (en) * 2003-09-29 2005-06-07 The Boeing Company Methods and systems for predicting electromagnetic scattering
EP2393025A1 (en) * 2010-06-07 2011-12-07 IBBT vzw A device and method for calculating an interaction integral in a conductive medium

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20020022946A1 (en) * 1999-02-10 2002-02-21 Asher Yahalom Method and system for numerical simulation of fluid flow
US20020186945A1 (en) * 2001-05-16 2002-12-12 Thomas Szkopek Novel multimode fiber for narrowband bragg gratings
US20040167757A1 (en) * 2003-02-20 2004-08-26 Robert Struijs Method for the numerical simulation of a physical phenomenon with a preferential direction

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
KOSMAS O. T.: "Charged Particle in an Electromagnetic Field Using Variational Integrators", AIP CONFERENCE PROCEEDINGS, vol. 1389, 19 September 2011 (2011-09-19) - 25 September 2011 (2011-09-25), MELVILLE, NY, pages 1927 - 1931, XP055253456, Retrieved from the Internet <URL:http://opus4.kobv.de/opus4- fau/frontdoor/index/index/docld/2612> [retrieved on 20141120], DOI: 10.1063/1.3636989 *
See also references of EP3008619A4 *

Also Published As

Publication number Publication date
WO2014201060A2 (en) 2014-12-18
EP3008619A4 (en) 2016-08-03
EP3008619A2 (en) 2016-04-20

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