The near field refractor
From MaRDI portal
Publication:457831
DOI10.1016/j.anihpc.2013.07.001zbMath1301.78001arXiv1307.5709OpenAlexW2008390797MaRDI QIDQ457831
Qingbo Huang, Cristian E. Gutiérrez
Publication date: 29 September 2014
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.5709
Related Items (25)
Existence of weak solutions to refraction problems in negative refractive index materials ⋮ Radial solutions for fully nonlinear elliptic equations of Monge-Ampère type ⋮ On the numerical solution of the near field refractor problem ⋮ \(C^{1, \alpha}\) estimates for the parallel refractor ⋮ On the \(L_q\)-reflector problem in \(\mathbb{R}^n\) with non-Euclidean norm ⋮ On the generalized \(L_q\)-reflector inverse problem with variational methods ⋮ On singular sets of \(c\)-concave functions ⋮ Monotone discretization of the Monge–Ampère equation of optimal transport ⋮ \(C^{1,\alpha}\)-estimates for the near field refractor ⋮ Light reflection is nonlinear optimization ⋮ The reflector problem and the inverse square law ⋮ On the existence of dichromatic single element lenses ⋮ Regularity for the near field parallel refractor and reflector problems ⋮ Freeform lens design for scattering data with general radiant fields ⋮ Refractor surfaces determined by near-field data ⋮ Explicit Cartesian oval as a superconic surface for stigmatic imaging optical systems with real or virtual source or image ⋮ An Inverse Problem for the Refractive Surfaces with Parallel Lighting ⋮ Local near field refractors and reflectors ⋮ Aspherical Lens Design and Imaging ⋮ Local Hölder regularity of solutions to generated Jacobian equations ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ Refractors in anisotropic media associated with norms ⋮ Metasurfaces and optimal transport ⋮ Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations ⋮ Boundary \(C^{2, \alpha}\) estimates for Monge-Ampère type equations
Cites Work
- Weak solutions of one inverse problem in geometric optics
- The refractor problem in reshaping light beams
- Reflector problem in \({\mathbb R^n}\) endowed with non-Euclidean norm
- On the reflector shape design
- On the regularity of reflector antennas
- Determination of reflector surfaces from near-field scattering data
- On the design of a reflector antenna
- The Monge-Ampère equation
- Unnamed Item
This page was built for publication: The near field refractor
