Computer simulation of electromagnetic fields

摘要

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.

主权项

1. A system comprising:
a processor system including one or more processors; and a memory system including one or more non-transient storage media coupled to the processor system; the memory system storing one or more machine instructions, which when invoked cause the processor system to implement a method comprising: computing, by the processor system, numerical values for a set of parameters of a parameterized effectively continuous electromagnetic potential; the computing being performed, by the processor system, at least extremizing an action integral within a predetermined tolerance for which a Lagrangian density contains terms for at least an electromagnetic field; 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 a set of equations that result from taking partial derivatives of the action integral with respect to the set of parameters; and storing, at least temporarily, results of the extremizing in the memory system; the potential being a linear function of the parameters, the linear function including at least a sum of products, each product being one parameter of the set of parameters times a potential basis function of a set of basis functions.