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Antenna performance electromagnetic field simulation algorithm uses a matrix preconditioner Z determined in an implicit way and coefficients of a vector U expressed in base of usual Raviart-Thomas space
Antenna performance electromagnetic field simulation algorithm uses a matrix preconditioner Z determined in an implicit way and coefficients of a vector U expressed in base of usual Raviart-Thomas space
The preconditioner Z is defined by Z = ((t)J)MJ; where J is a matrix translation of an operator J , and (t)J is the transposed matrix of J. An Independent claim is included for - defining the matrix J. Electromagnetic field simulation algorithm for determining the electromagnetic wave diffracted by a body in mono-frequency mode from a mesh of the body and from the electromagnetic excitation. The algorithm includes: (a) determination of a matrix M, called the interaction matrix, whose coefficients are determined from a mesh of the body; determination of a preconditioner Z for the matrix M. This preconditioner being the matrix translation of the operator (J asterisk )MJ, where M is the operator associated with M, J the vectorial product operator with the normal of the bodies surface, and J asterisk is the adjoint operator of J; determination of currents which circulate at the bodies surface, by an iterative algorithm of the conjugated gradient type using the preconditioner Z. The iterative algorithm permits resolution of an equation, called the electric field integral equation, written in a matrix form MU = L, where U is a vector that is to be determined, whose coefficients represent the surface currents and L is a known vector, whose coefficients represent the electromagnetic excitation; determine the wave diffracted by the body, from the surface currents
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