Making waves round a structured cloak: lattices, negative refraction and fringes

作者: D. J. Colquitt , R. C. McPhedran , R. C. McPhedran , A. B. Movchan , N. V. Movchan

DOI: 10.1098/RSPA.2013.0218

关键词:

摘要: Using the framework of transformation optics, this paper presents a detailed analysis non-singular square cloak for acoustic, out-of-plane shear elastic and electromagnetic waves. Analysis wave propagation through is presented accompanied by numerical illustrations. The efficacy regularized demonstrated an objective measure quality cloaking effect provided. It that persists over wide range frequencies. As demonstration effectiveness cloak, Young's double slit experiment presented. stability interference pattern examined when cloaked uncloaked obstacle are successively placed in front one apertures. This novel link with well-known quantum mechanical provides additional method which cloaks may be examined. In second half paper, it shown approximate constructed using discrete lattice structure. efficiency analysed series illustrative simulations effective obtained relatively simple structure, particularly, low-frequency regime.

参考文章(38)
Steven A. Orszag, Carl M. Bender, Advanced mathematical methods for scientists and engineers ,(1978)
Mohamed Farhat, Sebastien Guenneau, Stefan Enoch, Ultrabroadband Elastic Cloaking in Thin Plates Physical Review Letters. ,vol. 103, pp. 024301- ,(2009) , 10.1103/PHYSREVLETT.103.024301
Jon Hobden, Nanoparticle films make for flexibility Materials Today. ,vol. 12, pp. 10- ,(2009) , 10.1016/S1369-7021(09)70191-9
A. Greenleaf, Y. Kurylev, M. Lassas, U. Leonhardt, G. Uhlmann, Cloaked electromagnetic, acoustic, and quantum amplifiers via transformation optics Proceedings of the National Academy of Sciences of the United States of America. ,vol. 109, pp. 10169- 10174 ,(2012) , 10.1073/PNAS.1116864109
R V Kohn, H Shen, M S Vogelius, M I Weinstein, Cloaking via change of variables in electric impedance tomography Inverse Problems. ,vol. 24, pp. 015016- ,(2008) , 10.1088/0266-5611/24/1/015016
D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, D. R. Smith, Metamaterial Electromagnetic Cloak at Microwave Frequencies Science. ,vol. 314, pp. 977- 980 ,(2006) , 10.1126/SCIENCE.1133628
J. B. Pendry, Controlling Electromagnetic Fields Science. ,vol. 312, pp. 1780- 1782 ,(2006) , 10.1126/SCIENCE.1125907
Oliver Paul, Yaroslav Urzhumov, Christoffer Elsen, David Smith, Marco Rahm, None, Construction of invisibility cloaks of arbitrary shape and size using planar layers of metamaterials Journal of Applied Physics. ,vol. 111, pp. 123106- ,(2012) , 10.1063/1.4729012
Ilaria Gallina, Giuseppe Castaldi, Vincenzo Galdi, Andrea Alù, Nader Engheta, General class of metamaterial transformation slabs Physical Review B. ,vol. 81, pp. 125124- ,(2010) , 10.1103/PHYSREVB.81.125124