✦ LIBER ✦

On the convergence properties of the method of auxiliary sources in 3D problems with open boundaries

✍ Scribed by P. J. Papakanellos; I. I. Heretakis; C. N. Capsalis

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 409 KB
Volume: 18
Category: Article
ISSN: 0894-3370
DOI: 10.1002/jnm.562

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, the convergence behaviour of the method of auxiliary sources (MAS) is studied in cases of simple three‐dimensional (3D) problems with open regions. For the assessment of the convergence behaviour in such cases in a general manner, the cases considered herein consist in elemental electric dipoles radiating in the close proximity to a planar dissipative ground. Both vertically and horizontally oriented dipoles with respect to the ground plane are examined. The aim of the study is to investigate the interrelation between the auxiliary sources locations and the resultant field continuity errors. For this, the dependence of the boundary conditions errors on the number and spacing of the auxiliary sources is exhibited and general rules regarding their behaviour are extracted. Moreover, the influence of these errors on quantities of interest is examined. Finally, a few concluding remarks are outlined and their possible utilization in cases of more composite 3D problems is discussed. Copyright © 2004 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

On the convergence properties of the met

On the convergence properties of the method of auxiliary sources in 2D problems with open boundaries

✍ P. J. Papakanellos; I. I. Heretakis; C. N. Capsalis 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 106 KB 👁 1 views

## Abstract In this paper, the convergence properties of the method of auxiliary sources (MAS) when applied to two‐dimensional (2D) problems with open boundaries are studied. Although such problems have been examined in the past, the relation of the solution errors with the sources' locations has n

A note on the accuracy of the method of

A note on the accuracy of the method of auxiliary sources in the far-field region

✍ P. J. Papakanellos; I. I. Heretakis; C. N. Capsalis 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB 👁 1 views

The radiation patterns at 5.25 GHz are for the notch frequency and the radiation patterns at 3.96 and 8.18 GHz are for the passband frequency. The measured radiation patterns at the passband frequency are about the same for both the antenna with U-slot and the antenna without U-slot. The measured re

On the combination of the method of auxi

On the combination of the method of auxiliary sources with reaction matching for the analysis of thin cylindrical antennas

✍ Panagiotis J. Papakanellos; Christos N. Capsalis 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 399 KB 👁 1 views

## Abstract In the present paper, a combination of the method of auxiliary sources (MAS) with the reaction matching (RM) technique is investigated for the treatment of thin wire antennas. The influence of the use of additional monopole terminal sources on the numerical stability and the accuracy of

Probability Galore. Review of The Probab

Probability Galore. Review of The Probabilistic Method, by Noga Alon and Joel H. Spencer, with an appendix on open problems by Paul Erdös

✍ Peter Fishburn 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 230 KB

Noga Alon is a Professor of Mathematics at Tel Aviv University, Israel. He received his Ph.D. in mathematics from the Hebrew University of Jerusalem in 1983 and has had visiting positions in various rescarch institutes including MIT, IBM Almaden Research Center, Bell Laboratories, and Beflcore. He s