Nonlinear transformation optics and engineering of the Kerr effect

被引:28
作者
Bergamin, L. [1 ]
Alitalo, P. [2 ]
Tretyakov, S. A. [2 ]
机构
[1] KB&P GmbH, CH-3007 Bern, Switzerland
[2] Aalto Univ, Dept Radio Sci & Engn, FI-00076 Aalto, Finland
来源
PHYSICAL REVIEW B | 2011年 / 84卷 / 20期
基金
芬兰科学院;
关键词
METAMATERIALS; CLOAKING;
D O I
10.1103/PhysRevB.84.205103
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The concept of transformation optics is extended to nonlinear electrodynamics. It is shown that transformation optics favors implicit constitutive relations in terms of energy densities D . E and B . H rather than E-2 and H-2. The Kerr nonlinearity is studied in detail and the transformation-optics-based engineering of self-interaction effects is discussed. As a specific example we introduce transformation optics applied on a self-focusing field configuration.
引用
收藏
页数:8
相关论文
共 23 条
[1]  
Bergamin L., 2010, EL THEOR EMTS 2010 U, P760
[2]  
Bergamin L., ARXIV10014655PHYSICS
[3]   Generalized transformation optics from triple spacetime metamaterials [J].
Bergamin, Luzi .
PHYSICAL REVIEW A, 2008, 78 (04)
[4]   Electromagnetic fields and boundary conditions at the interface of generalized transformation media [J].
Bergamin, Luzi .
PHYSICAL REVIEW A, 2009, 80 (06)
[5]  
Boyd RW, 2008, NONLINEAR OPTICS, 3RD EDITION, P1
[6]   Acoustic cloaking in three dimensions using acoustic metamaterials [J].
Chen, Huanyang ;
Chan, C. T. .
APPLIED PHYSICS LETTERS, 2007, 91 (18)
[7]  
Chen HY, 2010, NAT MATER, V9, P387, DOI [10.1038/nmat2743, 10.1038/NMAT2743]
[8]  
Cummer S., 2011, J OPT, V13
[9]   One path to acoustic cloaking [J].
Cummer, Steven A. ;
Schurig, David .
NEW JOURNAL OF PHYSICS, 2007, 9
[10]   The non-birefringent limit of all linear, skewonless media and its unique light-cone structure [J].
Favaro, Alberto ;
Bergamin, Luzi .
ANNALEN DER PHYSIK, 2011, 523 (05) :383-401