Covariant description of transformation optics in nonlinear media

被引:11
作者
Paul, Oliver [1 ,2 ]
Rahm, Marco [1 ,2 ,3 ]
机构
[1] Univ Kaiserslautern, Dept Phys, D-67663 Kaiserslautern, Germany
[2] Univ Kaiserslautern, Res Ctr OPTIMAS, D-67663 Kaiserslautern, Germany
[3] Fraunhofer Inst Phys Measurement Tech IPM, D-79110 Freiburg, Germany
来源
OPTICS EXPRESS | 2012年 / 20卷 / 08期
关键词
SELF-PHASE MODULATION; CLOAKING; METAMATERIALS; GENERATION; EQUATIONS; PULSES; LIGHT; FORM;
D O I
10.1364/OE.20.008982
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The technique of transformation optics (TO) is an elegant method for the design of electromagnetic media with tailored optical properties. In this paper, we focus on the formal structure of TO theory. By using a complete covariant formalism, we present a general transformation law that holds for arbitrary materials including bianisotropic, magneto-optical, nonlinear and moving media. Due to the principle of general covariance, the formalism is applicable to arbitrary space-time coordinate transformations and automatically accounts for magneto-electric coupling terms. The formalism is demonstrated for the calculation of the second harmonic wave generation in a twisted TO concentrator. (C) 2012 Optical Society of America
引用
收藏
页码:8982 / 8997
页数:16
相关论文
共 43 条
[1]   SELF-PHASE MODULATION AND SPECTRAL BROADENING OF OPTICAL PULSES IN SEMICONDUCTOR-LASER AMPLIFIERS [J].
AGRAWAL, GP ;
OLSSON, NA .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1989, 25 (11) :2297-2306
[2]  
[Anonymous], ELECTRODYNAMICS CONT
[3]   Nonlinear transformation optics and engineering of the Kerr effect [J].
Bergamin, L. ;
Alitalo, P. ;
Tretyakov, S. A. .
PHYSICAL REVIEW B, 2011, 84 (20)
[4]   STIMULATED RAMAN EFFECT [J].
BLOEMBERGEN, N .
AMERICAN JOURNAL OF PHYSICS, 1967, 35 (11) :989-+
[5]  
Boyd RW, 2008, NONLINEAR OPTICS, 3RD EDITION, P1
[6]   Optical cloaking with metamaterials [J].
Cai, Wenshan ;
Chettiar, Uday K. ;
Kildishev, Alexander V. ;
Shalaev, Vladimir M. .
NATURE PHOTONICS, 2007, 1 (04) :224-227
[7]   Transformation media that rotate electromagnetic fields [J].
Chen, Huanyang ;
Chan, C. T. .
APPLIED PHYSICS LETTERS, 2007, 90 (24)
[8]   COVARIANT DESCRIPTIONS OF BIANISOTROPIC MEDIA [J].
CHENG, DK ;
KONG, JA .
PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1968, 56 (03) :248-&
[9]   One path to acoustic cloaking [J].
Cummer, Steven A. ;
Schurig, David .
NEW JOURNAL OF PHYSICS, 2007, 9
[10]   Trends in chirped pulse optical parametric amplification [J].
Dubietis, Audrius ;
Butkus, Rytis ;
Piskarskas, Algis Petras .
IEEE JOURNAL OF SELECTED TOPICS IN QUANTUM ELECTRONICS, 2006, 12 (02) :163-172