Analysis of mathematical techniques for the calculation of the electrostatic eld in a dielectric-loaded waveguide
A. Berenguer, A. Coves, E. Bronchalo, and F. Mesa
2019 PhotonIcs & Electromagnetics Research Symposium (PIERS)  (Rome (Italy), June 2019)
Ed. IEEE  - p. 330


The resolution of the Green's function for obtaining the electrostatic potential generated by the charges located in the dielectric layer of a rectangular waveguide requires effcient
integration techniques. Due to the characteristics and the oscillatory nature of the function to be integrated, the use of the Filon's method together with a convergence analysis is adequate. However, the application of this numerical integration technique can lead to numerical instabilities in the result. For this reason, in this research work we have presented two different methods to deal with these numerical errors of integration: SSA/MSSA and GPR. In this way it is possible to clean the electrostatic potential avoiding subsequent errors in the calculation of the electrostatic fi eld.