𝔖 Bobbio Scriptorium
✦   LIBER   ✦

ADI-FDTD method perturbed by the second order cross derivative terms

✍ Scribed by Ki-Bok Kong; Jong-Sung Kim; Seong-Ook Park

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
417 KB
Volume
50
Category
Article
ISSN
0895-2477

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A two‐step FDTD method as a compromise of conditional stability and reduced splitting error is formulated and its numerical stability is investigated. It is the perturbed form to the ADI‐FDTD method by the addition of second order cross derivative term. It is validated from the comparison of numerical anisotropy and numerical error over the ADI‐FDTD that numerical performances can be improved by controlling the perturbed term within the stable region of the cross derivative term. © Wiley Periodicals, Inc. Microwave Opt Technol Lett 50: 1822–1826, 2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.23479

📜 SIMILAR VOLUMES

Reduction of numerical dispersion by opt
Reduction of numerical dispersion by optimizing second-order cross product derivative term in the ADI-FDTD method
✍ Ki-Bok Kong; Jong-Sung Kim; Seong-Ook Park 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 306 KB

## Abstract We propose a new adaptive alternating‐direction implicit finite‐difference time‐domain (ADI‐FDTD) to reduce the anisotropy in the numerical phase velocities. The proposed form has two anisotropic parameters on the first order terms of the time step and one parameter on the second order

Relativistic and electron-correlation ef
Relativistic and electron-correlation effects on magnetizabilities investigated by the Douglas-Kroll-Hess method and the second-order Møller-Plesset perturbation theory
✍ Terutaka Yoshizawa; Masahiko Hada 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 179 KB

## Abstract Isotropic and anisotropic magnetizabilities for noble gas atoms and a series of singlet and triplet molecules were calculated using the second‐order Douglas‐Kroll‐Hess (DKH2) Hamiltonian containing the vector potential **A** and in part using second‐order generalized unrestricted Møller

Calculation of frequency-dependent polar
Calculation of frequency-dependent polarizabilities for open-shell systems at the second-order Møller–Plesset perturbation theory level based on the quasi-energy derivative method
✍ Takao Kobayashi; Kotoku Sasagane; Kizashi Yamaguchi 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 184 KB 👁 2 views

We extended the dynamic response theory in the Møller᎐Plesset Ž . Ž . perturbation theory MPPT based on the quasi-energy derivative QED method for closed-shell systems to that for open-shell systems. In this study we perform the Ž . calculations of frequency-dependent polarizabilities ␣ y; for nonde