摘要
首先,针对尖劈形状吸波体的性能问题,给出了直接计算法和基于镜像模型的方法,并对其进行了对比计算与仿真.其次,对于微波暗室的性能研究,针对不同的复杂度要求,建立了两种数学模型—射线追踪(Ray Tracing)模型和基于Markov链的有限元(FEM,Finite Element Model)模型.建模过程和仿真结果表明,Ray Tracing模型的计算复杂度较低,但电磁波"镜面反射"的假设过于理想,模型较为粗糙,只能用于粗略模拟实际情况.而基于Markov链的FEM模型较Ray Tracing模型更加精确.同时,相比于传统的具有高计算复杂度的FEM模型,基于Markov链的FEM模型计算更加简便,利于计算机仿真实现,而且不降低FEM模型的精确度,可以精确模拟实际情况.
First, to study the performance of wedge-shaped wave absorbing material, we propose a method based on Mirror Model in comparison with a directly computing scheme. Formula derivations and simulations are given for both of these two methods. As to the research on microwave chamber's performance, two mathematical models are setup in this paper for different complexity demands, including Ray Tracing Model and Finite Element Model based on Markov chain. Then, simulations are performed based on these two models. It is shown that Ray Tracing Model with less complexity is more idealized and rougher for its hypothesis that electromagnetic wave has specular reflection. By comparison, Finite Element Model based on Markov chain is more accurate and practical. Moreover, being more convenient for computer simulations than traditional FEM Model with high calculation complexity, Finite Element Model based on Markov chain can simulate actual circumstances without loss of accuracy.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第14期202-211,共10页
Mathematics in Practice and Theory