Inverse problem in transformation optics

Abstract

The straightforward method of transformation optics implies that one starts from the coordinate transformation, determines the Jacobian matrix, the fields and material parameters of the cloak. However, the coordinate transformation appears as an optional function: it is not necessary to know it. We offer the solution of some sort of the inverse problem: starting from the fields in the invisibility cloak we directly derive the permittivity and permeability tensors of the cloaking shell. The approach can be useful for finding material parameters for the specified electromagnetic fields in the cloaking shell without knowing coordinate transformation.

7 pages, 4 figures, J. Opt, vol. 13, 2011

References in corpus (15)

• Achieving transparency with plasmonic coatings
• Hiding Under the Carpet: a New Strategy for Cloaking
• Illusion optics: The optical transformation of an object into another object
• Design of Electromagnetic Cloaks and Concentrators Using Form-Invariant Coordinate Transformations of Maxwell's Equations
• Silicon nanostructure cloak operating at optical frequencies
• A complementary media invisibility cloak that can cloak objects at a distance outside the cloaking shell
• Macroscopic Invisibility Cloaking of Visible Light
• Macroscopic Invisibility Cloak for Visible Light
• Experimental realization of a broadband illusion optics device
• Alternative Derivation of Electromagnetic Cloaks and Concentrators
• Experimental verification of broadband cloaking using a volumetric cloak composed of periodically stacked cylindrical transmission-line networks
• Generalized field-transforming metamaterials
• Frequency converter implementing an optical analogue of the cosmological redshift
• Non-Magnetic Cloak without Reflection
• Electromagnetic interaction of arbitrary radial-dependent anisotropic spheres and improved invisibility for nonlinear-transformation-based cloaks