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 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, the set of parameters are parameters of a parameterized electromagnetic potential and an electromagnetic field associated with the parameterized electromagnetic potential, the computing of the numerical values for the set of parameters that extremize the action integral is performed, therein numerically solving for the parameterized electromagnetic potential by computing the numerical values of the parameters, instead of solving Euler-Lagrange equations for the electromagnetic potential in at least part of a region associated with the action integral and instead of solving Euler-Lagrange equations for the electromagnetic fields in at least part of a region associated with the action integral, the set of parameters, computed by the machine, extremizing an action integral, the action integral being an integral of an electromagnetic Lagrangian; and computing, by the machine, the electromagnetic field based on the set of parameters that extremize the action integral.