Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics

被引:52
作者
Greenleaf, Allan [2 ]
Kurylev, Yaroslav [3 ]
Lassas, Matti [4 ]
Leonhardt, Ulf [5 ]
Uhlmann, Gunther [1 ,6 ]
机构
[1] Univ Washington, Dept Math, Seattle, WA 98195 USA
[2] Univ Rochester, Dept Math, Rochester, NY 14627 USA
[3] UCL, Dept Math, London WC1E 6BT, England
[4] Univ Helsinki, Dept Math & Stat, FIN-00014 Helsinki, Finland
[5] Univ St Andrews, Sch Phys & Astron, St Andrews KY16 9SS, Fife, Scotland
[6] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
基金
英国工程与自然科学研究理事会; 美国国家科学基金会; 芬兰科学院;
关键词
field amplifiers; invisibility cloaking; improved cloaking; imaging; FREQUENCIES; COMPOSITES;
D O I
10.1073/pnas.1116864109
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The advent of transformation optics and metamaterials has made possible devices producing extreme effects on wave propagation. Here we describe a class of invisible reservoirs and amplifiers for waves, which we refer to as Schrodinger hats. The unifying mathematical principle on which these are based admits such devices for any time harmonic waves modeled by either the Helmholtz or Schrodinger equation, e. g., polarized waves in electromagnetism, acoustical waves and matter waves in quantum mechanics. Schrodinger hats occupy one part of a parameter-space continuum of wave-manipulating structures which also contains standard transformation optics based cloaks, resonant cloaks and cloaked sensors. Possible applications include near-field quantum microscopy.
引用
收藏
页码:10169 / 10174
页数:6
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