𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic Green's function for skewed 3-D lattices using the Ewald transformation

✍ Scribed by Ivica Stevanoviæ; Juan R. Mosig

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
157 KB
Volume
49
Category
Article
ISSN
0895-2477

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We apply the Ewald acceleration technique to the efficient evaluation of periodic Green's functions (GFs) for 3‐D skewed lattices like those arising in electromagnetic/photonic band‐gap (EBG/PBG) structures and metamaterials (MTMs). We develop the expression for the optimal value of an associated splitting parameter, derive the gradient of the scalar potential GFs and address the extraction of singularity for both vector/scalar potential GF and their curl/gradient. Several numerical implementation issues are also discussed leading to further enhancement in computational speed, accuracy, and numerical stability. Finally, the accuracy of the developed GFs is verified against well established algorithms. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 1353–1357, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22429

📜 SIMILAR VOLUMES

The 3-D BEM implementation of a numerica
The 3-D BEM implementation of a numerical Green's function for fracture mechanics applications
✍ G. S. Castor; J. C. F. Telles 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 196 KB 👁 2 views

The use of Green's functions has been considered a powerful technique in the solution of fracture mechanics problems by the boundary element method (BEM). Closed-form expressions for Green's function components, however, have only been available for few simple 2-D crack geometry applications and req

Multipole-accelerated capacitance comput
Multipole-accelerated capacitance computation for 3-D structures in a stratified dielectric medium using a closed-form Green's function
✍ Jandhyala, Vikram ;Michielssen, Eric ;Mittra, Raj 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 969 KB

## Abstract In this article, the capacitance matrices of three‐dimensional conducting structures embedded in a stratified dielectric medium are computed by using the fast muitipole method in conjunction with a closed‐form approximation of the appropriate Green's function. Image charges that result