Topic
Finite-difference frequency-domain method
About: Finite-difference frequency-domain method is a research topic. Over the lifetime, 174 publications have been published within this topic receiving 2053 citations.
Papers published on a yearly basis
Papers
TL;DR: In this paper, a compact 2D finite-difference frequency domain method is proposed for the analysis of dispersion characteristics of a general guided wave structure, where only four transverse field components are involved in the final resulting eigen equation.
Abstract: A compact two-dimensional (2-D) full-wave finite-difference frequency-domain method is proposed for the analysis of dispersion characteristics of a general guided wave structure. Because the longitudinal field components are eliminated in the proposed method, only four transverse field components are involved in the final resulting eigen equation. This feature considerably reduces the required CPU time as compared to the existing approaches by which six field components are comprised. Additionally, unlike other 2-D finite-difference schemes that determine the eigenfrequency for a given propagation constant, the new method finds the propagation constant /spl beta/ for a given k/sub o/ (frequency). The new method has been verified by examining the computed results of a number of typical guided wave structures with the published results. Very good agreement is achieved.
117 citations
TL;DR: A survey of results devoted to one of the numerical methods of optimal control, the method of successive approximations, can be found in this paper, where various modifications of the method and some theoretical results on its convergence are presented.
Abstract: The paper contains a survey of results devoted to one of the numerical methods of optimal control—the method of successive approximations. This method is based on Pontryagin's maximum principle and is known in the English literature as the min-H method. Various modifications of the method and some theoretical results on its convergence are presented. Examples of applications of the method for the calculation of optimal trajectories are given. The method of small parameters which is close to the method of successive approximations, is also described.
90 citations
TL;DR: In this article, a four-stage high algebraic order symmetric two-step method with vanished phase-lag and its first up to the fourth derivative was developed, and the numerical results from the numerical tests are based on the numerical solution of the Schrodinger equation.
Abstract: In this paper, we will develop a four-stage high algebraic order symmetric two-step method with vanished phase-lag and its first up to the fourth derivative. For the proposed method, we will study the following: the phase-lag analysis of the new method; the development of the new method; the local truncation error analysis which is based on the radial Schrodinger equation; the stability and the interval of periodicity analysis which is based on a scalar test equation with frequency different than the frequency of the scalar test equation used for the phase-lag analysis; the error estimation procedure which is based on the algebraic order; and the numerical results from our numerical tests for the examination of the efficiency of the new obtained method. The numerical tests are based on the numerical solution of the Schrodinger equation.
88 citations
Book•
1 Jan 2008
TL;DR: In this article, surface integral equation formulations and the method of moments were used to solve 2D radiation and scattering problems, and higher-order basis functions were used for 3D problems.
Abstract: Introduction. Surface Integral Equation Formulations and the Method of Moments. Numerical Analysis for 2D Radiation and Scattering Problems. Higher-Order Basis Functions. 3D Problems. Resonant Structures. Iterative Solution Methods.
71 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2022 | 1 |
| 2021 | 2 |
| 2020 | 2 |
| 2019 | 2 |
| 2018 | 5 |
| 2017 | 4 |