By Topic

Efficient and Accurate Approximation of Infinite Series Summation Using Asymptotic Approximation and Super Convergent Series

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

The purchase and pricing options are temporarily unavailable. Please try again later.
2 Author(s)
Sidharath Jain ; Department of Electrical and Computer Engineering,, Iowa State University,, Ames,, IA, USA ; Jiming Song

We present an approach for very quick and accurate approximation of infinite series summation arising in electromagnetic problems. This approach is based on using asymptotic expansions of the arguments and the use of super convergent series to accelerate the convergence of each term. It has been validated by obtaining very accurate solution for propagation constant for shielded microstrip lines using spectral domain approach (SDA). In the spectral domain analysis of shielded microstrip lines, the elements of the Galerkin matrix are summations of infinite series of product of Bessel functions and Green's function. The infinite summation is accelerated by leading term extraction using asymptotic expansions for the Bessel function and the Green's function and the summation of the leading terms is carried out using the super convergent series.

Published in:

IEEE Transactions on Magnetics  (Volume:49 ,  Issue: 2 )