Cart (Loading....) | Create Account
Close category search window
 

Application of transforms to accelerate the summation of periodic free-space Green's functions

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.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Singh, S. ; Dept. of Electr. Eng., Tulsa Univ., OK, USA ; Singh, R.

The results of using two acceleration techniques to accelerate the convergence of free-space Green's functions of the Helmholtz equation are presented. An overview of the acceleration methods is given. The techniques make use of Kummer's Poisson's, and Shanks's transforms. The application of Shanks's transform improves dramatically the convergence of the one-dimensional free-space Green's functions. This is indicated by the computation time, which in some cases is reduced by a factor of 10 over the direct summation of the series. The first-order acceleration with Shanks's transform converges faster than first-order acceleration in each case. The advantage offered by the use of Shanks's transform is that no analytical work has to be done to the series. Numerical results include relative error versus number of terms taken in the series, and computation time versus a predefined convergence factor

Published in:

Microwave Theory and Techniques, IEEE Transactions on  (Volume:38 ,  Issue: 11 )

Date of Publication:

Nov 1990

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.