Transformation Optics in Nonvacuum Initial Dielectric Media

Abstract

Previous formulations of transformation optics have generally been restricted to transformations from relatively simple initial media, such as the vacuum, because of limitations due to their non-covariance. I show that a completely covariant approach enables arbitrary transformations from arbitrarily complex initial linear dielectrics.

6 pages

References in corpus (2)

• Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell's Equations
• General Relativity in Electrical Engineering

Cited by in corpus (6)

• Generalized Transformation Optics of Linear Materials
• Cartographic distortions make dielectric spacetime analog models imperfect mimickers
• Shrinking cloaks in expanding spacetimes: the role of coordinates and the meaning of transformations in Transformation Optics
• Covariant Description of Transformation Optics in Linear and Nonlinear Media
• Covariant Response Theory and the Boost Transform of the Dielectric Tensor
• General Relativistic Contributions in Transformation Optics