CAJ | 학술논문

针对高频电磁场逆问题分析复杂、求解缓慢等现有问题，以给定方向增益最大化，同时副瓣电平最小化为目标，建立10个同性线性点源天线阵模型，并提出一种改进的正交边界交叉(normal boundary intersection，NBI)算法。为克服原NBI算法收敛速度慢、一次运行只得到一个Pareto解等固有缺陷，该文将理想平面分化为若干子区域，将每个种群个体投影到理想平面上，根据其在理想平面上的投影进行分类及评估，并将分类及评估结果体现在母代选择中，以实现一次运行搜索得到全部 Pareot 解平面；其次，为避免早熟现象和增加种群多样性，提出双重外部档案概念，并引入一种新的精英策略。给出的典型数学函数验证了该文算法的快速性和有效性，高频电磁场逆问题的数值计算结果说明了该文算法的优越性和工程应用价值。
침대고빈전자장역문제분석복잡、구해완만등현유문제，이급정방향증익최대화，동시부판전평최소화위목표，건립10개동성선성점원천선진모형，병제출일충개진적정교변계교차(normal boundary intersection，NBI)산법。위극복원NBI산법수렴속도만、일차운행지득도일개Pareto해등고유결함，해문장이상평면분화위약간자구역，장매개충군개체투영도이상평면상，근거기재이상평면상적투영진행분류급평고，병장분류급평고결과체현재모대선택중，이실현일차운행수색득도전부 Pareot 해평면；기차，위피면조숙현상화증가충군다양성，제출쌍중외부당안개념，병인입일충신적정영책략。급출적전형수학함수험증료해문산법적쾌속성화유효성，고빈전자장역문제적수치계산결과설명료해문산법적우월성화공정응용개치。
An improved normal boundary intersection (NBI) method is proposed for the high frequency inverse problems. To deal with the complicated situations and time-consuming computations of the high frequency electromagnetic inverse problems, a model of a 10 linear antenna array with the same nature sources is built which is to maximize the direction gain in the fixed direction and minimize the side slope level (SLL) at the same time. To overcome the shortage of original NBI methods in finding one Pareto solution in a single run and make the Pareto solutions can evolve at the same time, the utopia plane is divided into sub-domains, project each individual on the ideal plane, classify and assessment the individuals based on the projections which is used in parents selection. To avoid premature and enhance the diversity of the population, dual external archives and a newelite strategies are proposed. The results of mathematical functions show the effectiveness and efficiency of the proposed method. The promising results of the high frequency inverse problem demonstrate the engineering value of the propose algorithm.