𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Reflectionless sponge layers for the numerical solution of Maxwell's equations in cylindrical and spherical coordinates

✍ Scribed by P.G. Petropoulos

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
111 KB
Volume
33
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.

✦ Synopsis

We review the scaling argument used to derive reflectionless wave absorbing layers for use as Absorbing Boundary Conditions (ABC) in numerical solutions of the elliptic and hyperbolic Maxwell equations in cylindrical and spherical coordinates, and show that thus obtained absorbing layers are described in the time-domain by causal, strongly well-posed hyperbolic systems. Representative results are given for scattering by cylinders. Also, we study the reflection of local ABC's in discrete space.

πŸ“œ SIMILAR VOLUMES

A Reflectionless Sponge Layer Absorbing
A Reflectionless Sponge Layer Absorbing Boundary Condition for the Solution of Maxwell's Equations with High-Order Staggered Finite Difference Schemes
✍ Peter G. Petropoulos; Li Zhao; Andreas C. Cangellaris πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 372 KB

We develop, implement, and demonstrate a reflectionless sponge layer for truncating computational domains in which the time-dependent Maxwell equations are discretized with high-order staggered nondissipative finite difference schemes. The well-posedness of the Cauchy problem for the sponge layer eq

A 3-D unconditionally stable precise int
A 3-D unconditionally stable precise integration time domain method for the numerical solutions of Maxwell's equations in circular cylindrical coordinates
✍ Xin-Tai Zhao; Zhi-Gong Wang; Xi-Kui Ma πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 369 KB πŸ‘ 1 views

An unconditionally stable precise integration time-domain method is extended to 3-D circular cylindrical coordinates to solve Maxwell's equations. In contrast with the cylindrical finite-difference time-domain method, not only can it remove the stability condition restraint, but also make the numeri

On the stretching of Maxwell's equations
On the stretching of Maxwell's equations in general orthogonal coordinate systems and the perfectly matched layer
✍ Luc Knockaert; Daniel De Zutter πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 64 KB πŸ‘ 2 views

It is shown that the complex coordinate stretching and diagonal anisotropy formulations of the perfectly matched layer are equi¨alent in a general orthogonal coordinate system setting. The results are obtained by taking ad¨antage of the tensorial in¨ariance of the line element.

A coordinate transformation method for n
A coordinate transformation method for numerical solutions of the electric double layer and electroosmotic flows in a microchannel
✍ Zhang Yao; Wu Jiankang; Chen Bo πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 406 KB πŸ‘ 1 views

## Abstract The electric double layer (EDL) and electroosmotic flows (EOFs) constitute the theoretical foundations of microfluidics. Numerical solution is one of the effective means of analysis in microfluidics. In general, it is difficult to obtain an accurate numerical solution of complex EOFs be