Topic
Scattering-matrix method
About: Scattering-matrix method is a research topic. Over the lifetime, 667 publications have been published within this topic receiving 11628 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates that allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies.
Abstract: A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates. The added degrees of freedom in the modified Maxwell's equations allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies. The modified equations are also related to the perfectly matched layer that was presented recently for 2D wave propagation. Absorbing-material boundary conditions are of particular interest for finite-difference time-domain (FDTD) computations on a single-instruction multiple-data (SIMD) massively parallel supercomputer. A 3D FDTD algorithm has been developed on a connection machine CM-5 based on the modified Maxwell's equations and simulation results are presented to validate the approach. © 1994 John Wiley & Sons, Inc.
1,812 citations
15 Apr 2005
TL;DR: The finite-difference time-domain (FDTD) solution of the Maxwell's equations is a robust and popular computational technique in science and engineering for modeling electromagnetic wave interactions with complex material structures as mentioned in this paper.
Abstract: The finite-difference time-domain (FDTD ) solution of Maxwell's equations is a robust and popular computational technique in science and engineering for modeling electromagnetic wave interactions with complex material structures. This article reviews key elements of the foundation of FDTD analysis as well as selected recent and emerging FDTD application areas.
Keywords:
finite-difference time domain;
FDTD, Maxwell's equations;
numerical methods;
computations;
electromagnetic waves;
computational electrodynamics
543 citations
TL;DR: In this article, the alternating direction implicit finite-difference time domain (ADI-FDTD) method for a two-dimensional TE wave is extended to a full three-dimensional (3D) wave.
Abstract: We previously introduced the alternating direction implicit finite-difference time domain (ADI-FDTD) method for a two-dimensional TE wave. We analytically and numerically verified that the algorithm of the method is unconditionally stable and free from the Courant-Friedrich-Levy condition restraint. In this paper, we extend this approach to a full three-dimensional (3-D) wave. Numerical formulations of the 3-D ADI-FDTD method are presented and simulation results are compared to those using the conventional 3-D finite-difference time-domain (FDTD) method. We numerically verify that the 3-D ADI-FDTD method is also unconditionally stable and it is more efficient than the conventional 3-D FDTD method in terms of the central processing unit time if the size of the local minimum cell in the computational domain is much smaller than the other cells and the wavelength.
460 citations
TL;DR: A new discretization scheme for Maxwell equations in two space dimension based on the use of bivariate B-splines spaces suitably adapted to electromagnetics and provides regular discrete solutions of Maxwell equations.
393 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 3 |
| 2024 | 5 |
| 2023 | 5 |
| 2022 | 5 |
| 2021 | 2 |
| 2020 | 3 |