Simulation of the 2D TMz modes of time-domain Maxwell´s equations by RBF-MLM

This paper mainly discusses the simulation of transverse-magnetic modes respect to z (TMz) of time-domain Maxwell´s equations by meshless method (MLM) based on Radial Basis Functions (RBF). RBF-MLM is applied to solve the transient Maxwell equations which include multiple field components. The main idea is that the fields in the space domain are expanded into a series of radial basis functions and are treated with a meshless method procedure, and the time derivatives are still tackled with the customary difference scheme. The isotropy numerical wave transmits and forms the concentric circle waveform in the simulation area by RBF-MLM. Last, the 2D cavity numerical experiment has been used to validate the propose technique.