Topic
Computational electromagnetics
About: Computational electromagnetics is a research topic. Over the lifetime, 6412 publications have been published within this topic receiving 113727 citations. The topic is also known as: Electromagnetic field analysis.
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01 Nov 1948
TL;DR: In this article, the conditions to be satisfied in an absolute model for accurate simulation are derived, and the limitations imposed on practical models are discussed, where the measurements are on a quantitative or absolute basis in terms of the full scale system.
Abstract: Most model measurements are made on models which simulate only the geometrical configurations of the lines of force in the fields of the full-scale system, and thus yield only relative results for many of the properties of the system. It is possible, however, to devise models in which the measurements are on a quantitative or absolute basis in terms of the full-scale system. The conditions to be satisfied in an absolute model for accurate simulation are derived. The limitations imposed on practical models are discussed.
158 citations
TL;DR: In this paper, a transport equation for the intensity of electromagnetic waves by an extended underdense plasma is studied. But it is shown that this transport equation may be applied to the calculation of radar backscatter.
Abstract: Scattering of electromagnetic waves by an extended underdense plasma is studied. The analysis begins with expressions for multiple scattering of waves. An explicit account of coherent scatterings leads to modified equations. These modified equations are used to derive a transport equation for the intensity (a tensor expressed in polarization components). It is shown that this transport equation may be applied to the calculation of radar backscatter.
158 citations
TL;DR: In this article, the authors show that the electromagnetic field in the perfectly matched layers (PML) is bounded by a time independent constant, hence they are long-time stable, and prove that the linear growth of the electromagnetic fields in the layer is undesirable.
Abstract: This paper shows how to eliminate an undesirable long-time linear growth of the electromagnetic field in a class of unsplit perfectly matched layers (PML) typically used as absorbing boundary conditions in computational electromagnetics codes. For the new PML equations, we give energy arguments that show the fields in the layer are bounded by a time-independent constant, hence they are long-time stable. Numerical experiments confirm the elimination of the linear growth, and the long-time boundedness of the fields.
155 citations
TL;DR: This work presents a model with many parameters, which is applicable to all hyperbolic systems and which is prove is well‐posed and perfectly matched and introduces an automatic method for analyzing the stability of the model and establishing energy inequalities.
Abstract: Since its introduction the perfectly matched layer (PML) has proven to be an accurate and robust method for domain truncation in computational electromagnetics. However, the mathematical analysis of PMLs has been limited to special cases. In particular, the basic question of whether or not a stable PML exists for arbitrary wave propagation problems remains unanswered. In this work we develop general tools for constructing PMLs for first order hyperbolic systems. We present a model with many parameters, which is applicable to all hyperbolic systems and which we prove is well‐posed and perfectly matched. We also introduce an automatic method for analyzing the stability of the model and establishing energy inequalities. We illustrate our techniques with applications to Maxwell’s equations, the linearized Euler equations, and arbitrary $2 \times 2$ systems in (2+1) dimensions.
154 citations
TL;DR: In this article, a finite element method is presented that is particularly suited for the computer modeling of three-dimensional electromagnetic fields in inhomogeneous media and employs a new type of linear vectorial expansion functions.
Abstract: A finite-element method is presented that is particularly suited for the computer modeling of three-dimensional electromagnetic fields in inhomogeneous media. It employs a new type of linear vectorial expansion functions. Across an interface where the constitutive coefficients are discontinuous, they have the following properties: (1) the continuity of the tangential components of the electric and the magnetic field strengths is exactly preserved, (2) the normal component of the electric and the magnetic field strengths are allowed to jump and (3) the electric and the magnetic fluxes are continuous within the pertaining degree of approximation. The system of equations from which the expansion coefficients are obtained is generated by applying a Galerkin-type weighted-residual method. Numerical experiments are described that illustrate the efficiency of our elements, and the computational costs of the method.
153 citations