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The resolution of the Green's function for obtaining the electrostaticpotential generated by the charges located in the dielectric layer of arectangular waveguide requires efficient integration techniques. Due to thecharacteristics 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 tonumerical instabilities in the result. For this reason, in this research workwe have presented two different methods to deal with these numerical errors ofintegration: SSA/MSSA and GPR. In this way it is possible to clean theelectrostatic potential avoiding subsequent errors in the calculation of theelectrostatic field.

Analysis of mathematical techniques for the calculation of the electrostatic field in a dielectric-loaded waveguide