TY - JOUR

T1 - Differential geometry approach to asymmetric transmission of light

AU - Asenjo, Felipe A.

AU - Erices, Cristi N.

AU - Gomberoff, Andr S.

AU - Hojman, Sergio A.

AU - Montecinos, Alejandra

N1 - Funding Information:
The Centro de Estudios Científicos (CECs) is funded by the Chilean Government through the Centers of Excellence Base Financing Program of Conicyt. The work of F.A.A. was partially supported by Fondecyt–Chile Grant No. 11140025. The work of A.G. was partially supported by Fondecyt–Chile Grant No. 1141309.
Publisher Copyright:
© 2017 Optical Society of America.

PY - 2017/10/30

Y1 - 2017/10/30

N2 - In the last ten years, the technology of differential geometry, ubiquitous in gravitational physics, has found its place in the field of optics. It has been successfully used in the design of optical metamaterials through a technique now known as “transformation optics.” This method, however, only applies for the particular class of metamaterials known as impedance matched, that is, materials whose electric permittivity is equal to their magnetic permeability. In that case, the material may be described by a spacetime metric. In the present work we will introduce a generalization of the geometric methods of transformation optics to situations in which the material is not impedance matched. In such situations, the material -or more precisely, its constitutive tensor- will not be described by a metric only. We bring in a second tensor, with the local symmetries of the Weyl tensor, the “W-tensor.” In the geometric optics approximation we show how the properties of the W-tensor are related to the asymmetric transmission of the material. We apply this feature to the design of a particularly interesting set of asymmetric materials. These materials are birefringent when light rays approach the material in a given direction, but behave just like vacuum when the rays have the opposite direction with the appropriate polarization (or, in some cases, independently of the polarization).

AB - In the last ten years, the technology of differential geometry, ubiquitous in gravitational physics, has found its place in the field of optics. It has been successfully used in the design of optical metamaterials through a technique now known as “transformation optics.” This method, however, only applies for the particular class of metamaterials known as impedance matched, that is, materials whose electric permittivity is equal to their magnetic permeability. In that case, the material may be described by a spacetime metric. In the present work we will introduce a generalization of the geometric methods of transformation optics to situations in which the material is not impedance matched. In such situations, the material -or more precisely, its constitutive tensor- will not be described by a metric only. We bring in a second tensor, with the local symmetries of the Weyl tensor, the “W-tensor.” In the geometric optics approximation we show how the properties of the W-tensor are related to the asymmetric transmission of the material. We apply this feature to the design of a particularly interesting set of asymmetric materials. These materials are birefringent when light rays approach the material in a given direction, but behave just like vacuum when the rays have the opposite direction with the appropriate polarization (or, in some cases, independently of the polarization).

UR - http://www.scopus.com/inward/record.url?scp=85033395818&partnerID=8YFLogxK

U2 - 10.1364/OE.25.026405

DO - 10.1364/OE.25.026405

M3 - Article

C2 - 29092131

AN - SCOPUS:85033395818

SN - 1094-4087

VL - 25

SP - 26405

EP - 26416

JO - Optics Express

JF - Optics Express

IS - 22

ER -