Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology
DOI10.1137/21M1431096zbMath1492.78011OpenAlexW4281727625MaRDI QIDQ5084117
Ville Sirviö, Tracey Balehowsky, Pekka Pankka, Matti Lassas
Publication date: 23 June 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/21m1431096
Black holes (83C57) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Waves and radiation in optics and electromagnetic theory (78A40) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Quantum coherence, entanglement, quantum correlations (81P40) Geometric optics (78A05)
Cites Work
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- Surface plasmon resonance of nanoparticles and applications in imaging
- \(G\)-convergence, Dirichlet to Neumann maps and invisibility
- Approximate acoustic cloaking in inhomogeneous isotropic space
- Full and partial cloaking in electromagnetic scattering
- Two dimensional invisibility cloaking via transformation optics
- A representation of orientable combinatorial 3-manifolds
- Full-wave invisibility of active devices at all frequencies
- Electromagnetic wormholes via handlebody constructions
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- Inverse boundary value problems for partial differential equations
- On nonuniqueness for Calderón's inverse problem
- Elliptic partial differential equations of second order
- Approximate quantum and acoustic cloaking
- Enhanced near-cloak by FSH lining
- Enhancement of near-cloaking. II: The Helmholtz equation
- Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem
- Spectral theory of a Neumann-Poincaré-type operator and analysis of cloaking due to anomalous localized resonance
- Sobolev spaces with zero boundary values on metric spaces
- Regularized transformation-optics cloaking for the Helmholtz equation: from partial cloak to full cloak
- Two dimensional invisibility cloaking for Helmholtz equation and non-local boundary conditions
- Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers
- Curves von 2-manifolds and isotopies
- The borderlines of invisibility and visibility in Calderón's inverse problem
- Topological surgery in cosmic phenomena
- The Blow-up of Electromagnetic Fields in 3-Dimensional Invisibility Cloaking for Maxwell's Equations
- On a Regularized Scheme for Approximate Acoustic Cloaking Using Transformation Optics
- Approximate Cloaking for the Full Wave Equation via Change of Variables
- Regularized Transformation-Optics Cloaking in Acoustic and Electromagnetic Scattering
- On Approximate Electromagnetic Cloaking by Transformation Media
- Controlling Electromagnetic Fields
- Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking
- Nearly Cloaking the Electromagnetic Fields
- Black holes and topological surgery
- On the cloaking effects associated with anomalous localized resonance
- The boundary conditions for point transformed electromagnetic invisibility cloaks
- Cloaking via change of variables for the Helmholtz equation
- Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics
- Virtual reshaping and invisibility in obstacle scattering
- Modifications and Cobounding Manifolds
- Differential Topology
- On regularized full- and partial-cloaks in acoustic scattering
- Superdimensional Metamaterial Resonators From Sub-Riemannian Geometry
- Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking
- Inverse problems: seeing the unseen
- Inverse problems and invisibility cloaking for FEM models and resistor networks
- A rigorous analysis of high-order electromagnetic invisibility cloaks
- Cloaking via change of variables in electric impedance tomography
- Invisibility and inverse problems
- Lectures on the topology of 3-manifolds. An introduction to the Casson invariant
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