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Algorithms for the Evolution for Electromagnetic Fields

Abstract:

An algorithm is presented to solve non-linear wave equations and study the evolution characteristics of arbitrary spin fields in 3D. The eth formalism and the method of null characteristics allow discretization of differential equations. The numerical implementation of the method of null characteristics consists in evolving a scalar, electromagnetic or gravitational field on a family of null hypersurfaces in discrete sequence of time increments. While the eth formalism allows the discretization of angular coordinates. The code developed in Fortran 90 is stable and convergent in the second order and allowed the precise calculation of radiation for spin fields 0, 1 and 2 in the null infinity. The implemented algorithm is a first step to solve Maxwell’s equations in the characteristic formulation.