𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Interpolation scheme for fast calculation of reaction terms in the characteristic basis function method

✍ Scribed by Jaime Laviada; R. Mittra; Marcos R. Pino; Fernando Las-Heras

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
925 KB
Volume
51
Category
Article
ISSN
0895-2477

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This article presents an acceleration technique for the fast calculation of the impedance matrix elements in the method of moments in the case of using characteristic basis functions (CBFs). This technique is based on taking advantage of the smooth amplitude and phase behaviors of the fields generated by a CBF when the distance is sufficiently large. Computational efficiency is realized by calculating the reaction between a source‐CBF and a test‐CBF by first evaluating a sampling of the field at a sparse set of points, and then computing the fields at the rest via the use of interpolation. Thus, this procedure avoids the highly expensive integration in the source domain that is needed to calculate the radiated field in the entire test domain when following the conventional procedure. Phase unwrap prior to interpolation and the fast sample calculation scheme are detailed in the article. The technique has been validated by considering several examples involving Radar Cross Section computations. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1818–1824, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24478

📜 SIMILAR VOLUMES

The method of generating functions for t
The method of generating functions for the calculation of matrix elements in the deformed-harmonic oscillator basis
✍ Rainer W Hasse 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 996 KB

The method of generating functions which was previously only employed for the spherical basis of harmonic-oscillator single-particle wave functions is here generalized to the deformed (=cylindrical = asymptotic) basis. One-center and two-center matrix elements which are important in fission or heavy

Quick scheme for evaluation of atomic ch
Quick scheme for evaluation of atomic charges in arbitrary aluminophosphate sieves on the basis of electron densities calculated with DFT methods
✍ A. V. Larin; W. J. Mortier; D. P. Vercauteren 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 526 KB

## Abstract It is demonstrated that unique and simple analytical functions are justified for the atomic charge dependences __q__ of the T (T = Al, P) and O atoms of aluminophosphates (AlPOs) using DFT calculations with several basis sets, starting from STO‐3G to 3‐21G and 6‐21G\*\*. Three internal