Change search
ReferencesLink to record
Permanent link

Direct link
Generalized compensated bilayer structure from the transformation optics perspective
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.ORCID iD: 0000-0002-3368-9786
KTH, School of Information and Communication Technology (ICT), Microelectronics and Applied Physics, MAP.
2009 (English)In: Journal of the Optical Society of America. B, Optical physics, ISSN 0740-3224, Vol. 26, no 12, B39-B49 p.Article in journal (Refereed) Published
Abstract [en]

A systematic study on a generalized compensated bilayer structure is presented based on transformation optics. A compensated bilayer can be constructed through a general transformation plus a coordinate inversion based on a single layer in the electromagnetic (EM) space. Two outer boundaries of the obtained bilayer are mapped from the same surface. Such a bilayer has an optically zero volume (nihility) regardless of the material composition in the original single layer. This fact directly leads to the property of invariant scattering. A bilayer is also able to transfer the EM field from one side to the other with a scaling factor, which is determined by how the two side boundaries are mapped. For a properly chosen background, it is possible to achieve perfect optical imaging. Extensive numerical examples are given to demonstrate these identified properties and applications. Our study provides a more complete understanding of this class of transformation media by considering general geometries and arbitrary material properties.

Place, publisher, year, edition, pages
2009. Vol. 26, no 12, B39-B49 p.
Keyword [en]
negative refractive-index, cloak, metamaterials, invisibility, frequencies, light
URN: urn:nbn:se:kth:diva-19011ISI: 000272389800008ScopusID: 2-s2.0-73849084721OAI: diva2:337058
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2010-11-02Bibliographically approved
In thesis
1. Manipulation of Light with Transformation Optics
Open this publication in new window or tab >>Manipulation of Light with Transformation Optics
2010 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Transformation optics, a recently booming area, provides people a new approach to design optical devices for manipulating light. With transformation optics, a lot of novel optical devices are proposed, such as invisibility cloaks, optical wormholes, optical black holes, illusion devices. The present thesis is devoted to investigate transformation optics for manipulating light.

Firstly, an introduction to transformation optics is given. This part includes: (1) introducing differential geometry as the mathematical preparation; (2) expressing Maxwell’s equations in an arbitrary coordinate system and introducing the concept of transformation media as the foundation stone of transformation optics; (3) discussing light from the geometry perspective as the essence of transformation optics; (4) showing how to use transformation optics to design optical devices.

For our works on invisibility cloaks, we analyze the properties of arbitrary shaped invisibility cloaks, and confirm their invisibility abilities. The geometrical perturbations to cylindrical and spherical shaped cloaks are analyzed in detail. We show that the cylindrical cloak is more sensitive to the perturbation than a spherical cloak. By imposing a PEC (PMC) layer at the interior boundary of the cylindrical cloak shell for TM (TE) wave, the sensitivity can be reduced dramatically. A simplified non-magnetic cylindrical cloak is also designed. We show that the dominant zeroth order scattering term can be eliminated by employing an air gap between the cloak and the cloaked region.

We propose a compensated bilayer by a folding coordinate transformation based on transformation optics. It is pointed out that complementary media, perfect negative index lens and perfect bilayer lens made of indefinite media are well unified under the scope of the transformed compensated bilayer. We demonstrate the applications of the compensated bilayer, such as perfect imaging and optical illusion. Arbitrary shaped compensated bilayers are also analyzed.

Nihility media known as the media with ε =μ= 0, are generalized from transformation optics as transformation media derived from volumeless geometrical elements. The practical constructions of nihility media by metamaterials are discussed. The eigen fields in the nihility media are derived. The interactions between an external incident wave and a slab of nihility media in the free space background are analyzed.

A new type of transformation media called α media is proposed for manipulating light. Light rays in the α media have a simple displacement or rotation relationship with those in another media (seed media). Such relationship is named α relationship. The α media can be designed and simplified to a certain class of diagonal anisotropic media, which are related to certain isotropic media by the α relationship. Several optical devices based on the α transformation media are designed. Invisibility cloaks obtained from the coordinate transformation approach are revisited from a different perspective.

Place, publisher, year, edition, pages
Stockholm: KTH, 2010. xiii, 99 p.
Trita-ICT/MAP AVH, ISSN 1653-7610 ; 2010:09
transformation optics, Maxwell’s equations, invisibility cloaks, compensated bilayer, perfect imaging, optical illusion, nihility media, α media
National Category
Atom and Molecular Physics and Optics
urn:nbn:se:kth:diva-25849 (URN)
Public defence
2010-11-22, Sal / Hall C1, KTH-Electrum, Isafjordsgatan 26, Kista, 10:00 (English)
QC 20101102Available from: 2010-11-02 Created: 2010-11-02 Last updated: 2012-03-28Bibliographically approved

Open Access in DiVA

No full text


Search in DiVA

By author/editor
Yan, WeiYan, MinQiu, Min
By organisation
Microelectronics and Applied Physics, MAP
In the same journal
Journal of the Optical Society of America. B, Optical physics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 56 hits
ReferencesLink to record
Permanent link

Direct link