Computer simulation of electromagnetic fields
AssigneeTerje Graham Vold
InventorTerje Graham Vold
Life of this patent
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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.
Claims19
A machine implemented method comprising:
- computing, by a machine having a processor system including one or more processors and a memory system, numerical values for a set of parameters that extremize an action integral for a parameterized electromagnetic potential and an electromagnetic field associated with the parameterized electromagnetic potential,
- the set of parameters, computed by the machine, extremizing an action integral, the action integral being an integral of an electromagnetic Lagrangian
- computing, by the machine, the electromagnetic field based on the set of parameters that extremize the action integral.
A system comprising:
- a processor system having one or more processors;
- and
- a memory system including a one or more non-transitory machine readable media;
- the non-transitory machine readable media storing one or more machine instructions, which when implemented by the processor system cause the processor system to perform a method including at least
- computing, by the machine, numerical values for a set of parameters of a parameterized electromagnetic potential, by the processor system choosing parameter values that extremize an action integral whose integrand includes at least a Lagrangian density with terms for at least an electromagnetic field.
A non-transitory computer readable medium storing one or more machine instruction, which when implemented by a processor causes the processor to perform a method comprising:
- computing, by a machine having a processor system including one or more processors and a memory system, numerical values for a set of parameters of a parameterized electromagnetic potential by the processor system extremizing an action integral within a predetermined tolerance for where the action integral is an integral of an electromagnetic Lagrangian density, the extremizing being performed by the machine at least numerically solving a set of equations for the set of parameters, the set of equations being equations that result from taking partial derivatives of the action integral with respect to the set of parameters.
Dependencies are inferred from the claim text.