Modeling and Optimization in Cloaking Problems for Maxwell Equation<bold> </bold>

被引:0
|
作者
Alekseev, G. V. [1 ,2 ]
Lobanov, A. V. [1 ]
Spivak, Yu. E. [2 ]
机构
[1] FEB RAS, Inst Appl Math, 7 Radio St, Vladivostok 690041, Russia
[2] Far Eastern Fed Univ, Sch Nat Sci, D20, Vladivostok 690922, Russia
基金
俄罗斯基础研究基金会; 俄罗斯科学基金会;
关键词
MATERIAL BODIES;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We study control problem for the 2D model of electromagnetic field describing the scattering TM-polarized electromagnetic waves by anisotropic permeable dielectric obstacle with the boundary partially coated for masking. This problem arise while developing the design technologies of electromagnetic cloaking devices. The role of controls is played by refraction index and by boundary conductivity of the coated part of the boundary. Solvability of the control problem is proved and the optimality system is derived. Based on its analysis the uniqueness and stability of optimal solutions with respect to certain perturbations of both cost functional and incident field are established. A numerical algorithm is proposed and discussed.<bold> </bold>
引用
收藏
页码:442 / 445
页数:4
相关论文
共 50 条
  • [1] <bold>A novel two</bold>-<bold>phase trigonometric algorithm for solving global optimization problems</bold>
    Baskar, A.
    Xavior, M. Anthony
    Jeyapandiarajan, P.
    Batako, Andre
    Burduk, Anna
    [J]. ANNALS OF OPERATIONS RESEARCH, 2024,
  • [2] <bold>Problems Modeling Web Sites and User Behavior</bold>
    Rugaber, Spencer
    Harel, Nissim
    Govindharaj, Srihari
    Jerding, Dean
    [J]. PROCEEDINGS OF THE EIGHTH IEEE INTERNATIONAL SYMPOSIUM ON WEB SITE EVOLUTION, 2006, : 83 - +
  • [3] Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations
    Alekseev, G. V.
    [J]. DIFFERENTIAL EQUATIONS, 2016, 52 (03) : 361 - 372
  • [4] Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations
    G. V. Alekseev
    [J]. Differential Equations, 2016, 52 : 361 - 372
  • [5] Optimization of Cephalosporin C Acylase Immobilization<bold> </bold>
    Tong, Shuangming
    Zhu, Linlin
    Wang, Xiaona
    Li, Xi
    Chang, Yanhong
    Luo, Hui
    [J]. 2018 INTERNATIONAL SEMINAR ON FOOD SAFETY AND ENVIRONMENTAL ENGINEERING (FSEE 2018), 2019, 78
  • [6] Bold thinking for bold results: modeling the elimination of tuberculosis
    Azman, Andrew S.
    Dowdy, David W.
    [J]. INTERNATIONAL JOURNAL OF TUBERCULOSIS AND LUNG DISEASE, 2014, 18 (08) : 883 - 883
  • [7] <bold>Modeling Request Routing in Web Applications</bold>
    Han, Minmin
    Hofmeister, Christine
    [J]. PROCEEDINGS OF THE EIGHTH IEEE INTERNATIONAL SYMPOSIUM ON WEB SITE EVOLUTION, 2006, : 103 - +
  • [8] On Mathematical Modeling and Analysis of Brain Network<bold> </bold>
    Honda, Hirotada
    [J]. MATHEMATICAL ANALYSIS OF CONTINUUM MECHANICS AND INDUSTRIAL APPLICATIONS II, 2018, 30 : 169 - 180
  • [9] Modeling for Traffic Replay in Virtual Network<bold> </bold>
    Li, Lun
    Hao, Zhiyu
    Zhang, Yongzheng
    Liu, Yongji
    Li, Dahui
    [J]. IEEE 20TH INTERNATIONAL CONFERENCE ON HIGH PERFORMANCE COMPUTING AND COMMUNICATIONS / IEEE 16TH INTERNATIONAL CONFERENCE ON SMART CITY / IEEE 4TH INTERNATIONAL CONFERENCE ON DATA SCIENCE AND SYSTEMS (HPCC/SMARTCITY/DSS), 2018, : 495 - 502
  • [10] <bold>AN OPTIMIZATION ALGORITHM OF K-NN CLASSIFICATION</bold>
    Zhan, Yan
    Chen, Hao
    Zhang, Guo-Chun
    [J]. PROCEEDINGS OF 2006 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2006, : 2246 - +