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- #NUMERICAL ELECTROMAGNETICS THE FDTD METHOD UPDATE#
- #NUMERICAL ELECTROMAGNETICS THE FDTD METHOD DOWNLOAD#
#NUMERICAL ELECTROMAGNETICS THE FDTD METHOD DOWNLOAD#
Our digital library saves in fused countries, allowing you to acquire the most less latency period to download any of our books with this one. Finally, a rigorous, simple and accurate methodology is described which allows the optimization of the original extended curl scheme for a given grid resolution. numerical electromagnetics the fdtd method is open in our digital library an online entrance to it is set as public as a result you can download it instantly. The resulting scheme is sixth order isotropic and exhibits a Courant number that is almost unity. Second, the extended-curl operator is combined with fourth order time derivatives via a modified equation approach. It is shown that the corresponding scheme is fourth order accurate in space, exhibits isotropy up to sixth order and has a higher Courant number than other candidate schemes.
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First an alternative extended curl operator is derived based on a 25-point isotropic Laplacian discretization.
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Additionally, possible modifications for the extended curl operator are proposed which result in higher order performing schemes. The properties of the resulting schemes are analyzed and it is found that they exhibit the same favorable characteristics as their two-dimensional counterparts. Then it is demonstrated that the above methodology is directly applicable in three-dimensions. The properties of the extended curl are further explored and it is proved that a unity Courant number can be achieved without the resulting scheme suffering from grid decoupling, an artifact of staggered-collocated grids. Our analysis shows that the mapping of an isotropic Laplacian approximation results in an isotropic and less dispersive FDTD scheme.
#NUMERICAL ELECTROMAGNETICS THE FDTD METHOD UPDATE#
It is demonstrated that with the aid of a transversely extended curl operator any 9-point Laplacian can be mapped onto FDTD update equations. The finite-difference time-domain (FDTD) method has been used extensively over the last decade for bioelectromagnetic dosimetry numerical assessment of electromagnetic fields coupled to biological bodies Gandhi Lin & Gandhi. The development of this method is based on the observation that in a two-dimensional space the Yee-algorithm approximates the aforementioned Laplacian operator via a strongly anisotropic 5-point representation. This is achieved by improving the two-dimensional Laplacian approximation associated with the curl-curl operator. 总页数 132 摘要 A class of finite-difference time-domain (FDTD) schemes is developed, for the solution of Maxwell's equations, that exhibits improved isotropy and dispersion characteristics. 导师 (Missing) 导师机构 Arizona State University 主题 题名 A discrete time-domain electromagnetics formulation with minimized numerical artifacts 作者 Panaretos, Anastasios 学科专业 Electrical engineering Electromagnetism 学位