Invisibility cloaking via non-smooth transformation optics and ray tracing

被引:7
|
作者
Crosskey, Miles M. [4 ]
Nixon, Andrew T. [3 ]
Schick, Leland M. [2 ]
Kovacic, Gregor [1 ]
机构
[1] Rensselaer Polytech Inst, Dept Math Sci, Troy, NY 12180 USA
[2] Univ Arizona, Dept Math, Tucson, AZ 85721 USA
[3] Brown Univ, Div Appl Math, Providence, RI 02912 USA
[4] Duke Univ, Dept Math, Durham, NC 27708 USA
基金
美国国家科学基金会;
关键词
Invisibility cloak; Transformation optics; Metamaterials; METAMATERIALS; REFRACTION;
D O I
10.1016/j.physleta.2011.03.049
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present examples of theoretically-predicted invisibility cloaks with shapes other than spheres and cylinders, including cones and ellipsoids, as well as shapes spliced from parts of these simpler shapes. In addition, we present an example explicitly displaying the non-uniqueness of invisibility cloaks of the same shape. We depict rays propagating through these example cloaks using ray tracing for geometric optics. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:1903 / 1911
页数:9
相关论文
共 50 条
  • [31] Finite-time synchronisation control of complex networks via non-smooth analysis
    Liu, Xiaoyang
    Yu, Wenwu
    Cao, Jinde
    Alsaadi, Fuad
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (08): : 1245 - 1253
  • [32] THE RAY TRANSFORM OF SYMMETRIC TENSOR FIELDS WITH INCOMPLETE PROJECTION DATA ON A CONVEX NON-SMOOTH DOMAIN
    Vaytsel, N. A.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2024, 21 (02): : 1011 - 1023
  • [33] Modelling localized nonlinearities in continuous systems via the method of augmentation by non-smooth basis functions
    Brake, M. R.
    Segalman, D. J.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 469 (2158):
  • [34] Solving non-convex/non-smooth economic load dispatch problems via an enhanced particle swarm optimization
    Qin, Quande
    Cheng, Shi
    Chu, Xianghua
    Lei, Xiujuan
    Shi, Yuhui
    APPLIED SOFT COMPUTING, 2017, 59 : 229 - 242
  • [35] On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory
    Galewski, Marek
    Radulescu, Marius
    QUAESTIONES MATHEMATICAE, 2018, 41 (04) : 515 - 528
  • [36] SENSITIVITY VIA THE COMPLEX-STEP METHOD FOR DELAY DIFFERENTIAL EQUATIONS WITH NON-SMOOTH INITIAL DATA
    Banks, H. T.
    Bekele-Maxwell, Kidist
    Bociu, Lorena
    Wang, Chuyue
    QUARTERLY OF APPLIED MATHEMATICS, 2017, 75 (02) : 231 - 248
  • [37] The kinetic process of non-smooth substrate thin film growth via parallel Monte Carlo method
    Chen, Zi-Yi
    Zhu, Yuan
    Chen, Shu-Han
    Qiu, Zhi-Ren
    Jiang, Shao-Ji
    APPLIED SURFACE SCIENCE, 2011, 257 (14) : 6102 - 6106
  • [38] Safe Collective Control under Noisy Inputs and Competing Constraints via Non-Smooth Barrier Functions
    Enwerem, Clinton
    Baras, John S.
    2024 EUROPEAN CONTROL CONFERENCE, ECC 2024, 2024, : 3762 - 3768
  • [39] Some non-smooth optimality results for optimization problems with vanishing constraints via Dini–Hadamard derivative
    Gholam Hasan Shirdel
    Maryam Zeinali
    Ali Ansari Ardali
    Journal of Applied Mathematics and Computing, 2022, 68 : 4099 - 4118
  • [40] Synthesis of 3D-Printed Dielectric Lens Antennas Via Optimization of Geometrical Optics Ray Tracing
    Budhu, Jordan
    Rahmat-Samii, Yahya
    2017 USNC-URSI RADIO SCIENCE MEETING (JOINT WITH AP-S SYMPOSIUM), 2017, : 9 - 10