S. Schild

A Robust Method to Accurately Treat Arbitrarily Curved 3-D Thin Conductive Sheets in FDTD

In this paper, we propose a novel method to treat thin conductive (TC) sheets of arbitrary three-dimensional (3-D) shape and curvature with the electromagnetic (EM) finite-difference time-domain (FDTD) algorithm without the need to resolve the sheet thickness spatially. We show that the physical properties of TC sheets enable us to do so without introducing additional field components to the conventional Yee scheme. Due to this noninvasive approach, in addition to the preserved stability of the FDTD algorithm, the method can be directly applied to any existing FDTD kernel, such as parallelized or hardware accelerated versions. The method has been developed within the framework of a professional EM FDTD software package and tested on real-world problems.

Advanced surface impedance boundary condition in EM-FDTD

This short paper introduces a novel approach to improve the accuracy of the surface impedance boundary condition (SIBC) model originally reported by Celuch. The accuracy of the SIBC algorithm is significantly improved by introducing time and/or space synchronizations but still maintains a simple time update equation. Examples demonstrate the effectiveness of the approach. In addition, a ladder element optimization algorithm is introduced to account for the finiteness of the GC-ladder.

A complete framework for the modeling of linear and nonlinear dispersion effects with FDTD

The presented approach can treat any combination of the linear Drude, Debye and Lorentz models and the nonlinear Kerr- and Raman-effects with the finite-difference time-domain (FDTD) method. The algorithms have been implemented and tested in an FDTD software using several benchmark problems. Moreover, the software has been equipped with new strategies to address the challenges in FDTD when dealing with dispersive materials.

Accurate Treatment of Arbitrarily Curved 3D Thin Conductive Sheets in Real-World FDTD Applications

A novel method is proposed to treat thin conductive (TC) sheets of arbitrary three-dimensional shape and curvature with the electromagnetic (EM) finite-difference time-domain (FDTD) algorithm without the need to resolve the sheet thickness spatially. It is shown that due their physical properties. TC sheets can be modeled without introducing additional field components to the conventional Yee scheme. Due to this noninvasive approach, in addition to the preserved stability of the FDTD algorithm. the method can be directly applied to any existing FDTD kernel, such as parallelized or hardware accelerated versions. The method, implemented within the framework of a professional EM FDTD software package, has been developed to be applied to and tested on real-world applications such as mobile phones.

Extended FDTD scheme for thin conductive sheets with geometrical curvature analysis

Based on the thin conductive (TC) sheet method shown in [1], an extended scheme to treat lossy TC sheets of arbitrary three-dimensional shape and curvature with the electromagnetic (EM) finite-difference time-domain (FDTD) algorithm is proposed. Due to the complexity of real-world FDTD applications such as mobile phones, the 3D models must be analyzed and correctly resolved to guarantee reliable accuracy at affordable computational costs. Thus, the method has been enhanced with an automated curvature analysis engine and simulation pre-processor to guarantee accurate treatment of highly curved objects in state-of-the-art real-world FDTD simulations. The method, including the geometric analysis engine, has been implemented within the framework of an EM FDTD software package. The novel methods have been applied to and tested on real-world applications such as mobile phones.

Subcell averaging and stability assessment of linear dispersion effects in FDTD

To assess the stability of multipole dispersion in electromagnetic (EM) finite-difference time-domain (FDTD) simulations, the process outlined in [1] has been extended and applied to both the generalized linear dispersive update as well as the complete FDTD update cycle. Additionally, a novel subcell averaging approach for dispersive media has been developed and implemented, which is based on fitting a given multipole dispersion with less poles. Especially in the case of averaged multipole media, which typically contain similar dispersion poles, this pole reduction scheme is shown to save significant computational resources while preserving the improved accuracy due to the subcell averaging.