Open AccessLocalization of electromagnetic wave with continuous eigenmodes in free space cavities of cylindrical or arbitrary shapes
Author(s) -
Xuan Li,
Xinxin Li,
Jing Zhou,
Zhaona Wang,
Jianzhong Shi,
Dahe Liu
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.030746
Subject(s) - metamaterial , transformation optics , physics , optics , electromagnetic field , space (punctuation) , laplace transform , transformation (genetics) , field (mathematics) , boundary value problem , electromagnetic radiation , geometrical optics , mathematical analysis , classical mechanics , mathematics , computer science , quantum mechanics , biochemistry , chemistry , pure mathematics , gene , operating system
A scheme for constructing the electromagnetic localization structure (ELS) is proposed based on the transformation optics. The ELS may have a free space cavity of cylindrical or arbitrary shapes enclosed by a metamaterials layer. The electromagnetic field can be localized in the free space cavity with no energy leaked in the metamaterials layer and the eigenmodes of the cavity is continuous, which are novel properties that the reported metamaterials ELSs could not realize. The principle and feasibility of the scheme are described in detail through the cylindrical ELS. It is shown that all the material parameters of the designed cylindrical ELS change smoothly with finite values. Therefore it is more practical than the reported metamaterials ELS. In the designing of ELS, the space transformation function was solved via solving the Laplace equation with the Dirichlet boundary condition, which makes it possible to design the ELS of arbitrary shape. The viability of the ELS with arbitrary shape is analyzed and demonstrated by the full-wave numerical simulations.