Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology
Copyright policy )Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology
The authors describe how to construct singular Riemannian metric tensors in domains of the Euclidean space \(\mathbb{R}^3\) having the property that the behavior of the waves there are equivalent to those in the spatial manifold which best fits the gathered cosmological data. The consequent produced model enables desired simulation of the optical properties of the universe, and it is also important to be used to obtain new optical instruments (e.g., built from metamaterials).
- University of Helsinki Finland
cloaking, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Black holes, transformation optics, Helmhotz equation, Spectral problems; spectral geometry; scattering theory on manifolds, Transformation optics, Cloaking, Special Riemannian manifolds (Einstein, Sasakian, etc.), Cosmic topology, Quantum coherence, entanglement, quantum correlations, Inverse problems (including inverse scattering) in optics and electromagnetic theory, cosmic topology, Waves and radiation in optics and electromagnetic theory, Geometric optics, Mathematics
cloaking, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Black holes, transformation optics, Helmhotz equation, Spectral problems; spectral geometry; scattering theory on manifolds, Transformation optics, Cloaking, Special Riemannian manifolds (Einstein, Sasakian, etc.), Cosmic topology, Quantum coherence, entanglement, quantum correlations, Inverse problems (including inverse scattering) in optics and electromagnetic theory, cosmic topology, Waves and radiation in optics and electromagnetic theory, Geometric optics, Mathematics
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