Applied Mathematical Problems in Modern Electromagnetics

机译：现代电磁学中的应用数学问题

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A hybrid method has been developed which efficiently models a large cavityconstructed of a waveguide with a flanged opening at one end that couples it to free space. This method uses adiabatic mode theory to describe the electromagnetic fields in the waveguide (single mode) which is slowly changing and shorted at the far end. A finite difference scheme is used to describe the scattered electromagnetic fields in the exterior. This infinite region is truncated using a non-absorbing boundary condition. (2) A methodology has been developed to extend the above results to more realistic applications. Specifically S-Matrix theory is used to take into account discontinuities in the guide, such as an iris or another flanged outlet. This methodology holds for multi-mode waveguides. (3) Analysis of numerical errors for the FDTD method for pulse propagation in a dispersive media have been substantially refined and extended to the appended integral equation approach. (4) A substantially more efficient alternative to the FDTD method for dispersive media has been developed in one spatial dimension for homogeneous materials. Preliminary exploration of extensions to inhomogeneous materials (including material interfaces) and higher dimensions has begun.

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Kriegsmann, G. A.; Luke, J. H.; Hile, C. V.;
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年度 1997
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总页数 7
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Electromagnetic fields; Waveguides; Applied mathematics; Finite difference theory; Hybrid systems; Integral equations; Adiabatic conditions; Electromagnetic pulses; S matrix;

机译：电磁场;波导;应用数学;有限差分理论;混合系统;积分方程;绝热条件;电磁脉冲; s矩阵;

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6. Mathematical Biology Modules Based on Modern Molecular Biology and Modern Discrete Mathematics [O] . Raina Robeva, Robin Davies, Terrell Hodge, 2010

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Applied Mathematical Problems in Modern Electromagnetics

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