A Novel Approach for Approximation of Summation to Integral withMid-point Summation to Speed Up the Spectral Domain Approach forShielded Microstrip Lines

摘要

The approximation of summation with a fast convergent series has been frequently used to speed up the solution of problems in electromagnetics like solving for propagation constant for shielded microstrip lines, finlines, etc.[1]. But such convergent Series exist only for specific case's and cannot be applied to speed up the summation in general case. The Euler Maclaurin Formula (EMF) [2] has been widely used for approximation of finite and infinite series summations for any general series.