Asymptotic and numerical analysis for Holland and Simpson's thin wire formalism
نویسندگان
چکیده
In the context of simulation of electromagnetic propagation, the thin wire formalism of Holland and Simpson allows one to deal with scattering by perfectly conducting thin wires by coupling a standard FDTD method with a discrete 1D wave equation ruling the current inside the wires. This method can be very accurate, but it involves a fitting parameter that requires careful calibration. We propose a consistency analysis and derive a formula for the calibration of this parameter in the case of a simplified 2D analogue of the method of Holland and Simpson. Our proof relies on the observation that this method is actually a hidden version of the singular function method well known in the context of elliptic equations in domains with a singular boundary. © 2011 Elsevier B.V. All rights reserved.
منابع مشابه
Liste de publications
[2] X.Claeys and H.Haddar, Scattering from infinite rough tubular surfaces, Math. Methods Appl. Sci. 30 (2007), no. 4, 389–414. [3] X.Claeys, On the theoretical justification of Pocklington’s equation, Math. Models and Methods Appl. Sci. 19 (2009), no. 8, 1325–1355. [4] X.Claeys and F.Collino, Augmented Galerkin Schemes for the Numerical Solution of Scattering, by Small Obstacles. Numer. Math. ...
متن کاملImpact of Silicon Wafer Orientation on the Performance of Metal Source/Drain MOSFET in Nanoscale Regime: a Numerical Study
A comprehensive study of Schottky barrier MOSFET (SBMOSFET) scaling issue is performed to determine the role of wafer orientation and structural parameters on the performance of this device within Non-equilibrium Green's Function formalism. Quantum confinement increases the effective Schottky barrier height (SBH). (100) orientation provides lower effective Schottky barrier height in compa...
متن کاملAsymptotic Analysis of Binary Gas Mixture Separation by Nanometric Tubular Ceramic Membranes: Cocurrent and Countercurrent Flow Patterns
Analytical gas-permeation models for predicting the separation process across membranes (exit compositions and area requirement) constitutes an important and necessary step in understanding the overall performance of membrane modules. But, the exact (numerical) solution methods suffer from the complexity of the solution. Therefore, solutions of nonlinear ordinary differential equations th...
متن کاملI-V Characteristics of a Molecular Wire of Polyaniline (Emeraldine Base)
In this study, Polyaniline molecule (emeraldine base) is modeled as a molecular wire and the effects of the metal/molecule coupling strength and the molecule length on the current-voltage (I-V) characteristics are numerically investigated. Using a tight-binding Hamiltonian model, the methods based on Non-equilibrium Green’s function theory, Landauer formalism and Newns-Anderson model, our calcu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- J. Computational Applied Mathematics
دوره 235 شماره
صفحات -
تاریخ انتشار 2011