On the design of a reflector antenna. II
From MaRDI portal
Publication:1890014
DOI10.1007/s00526-003-0239-4zbMath1065.78013OpenAlexW2155800670MaRDI QIDQ1890014
Publication date: 16 December 2004
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-003-0239-4
Linear programming (90C05) Variational problems in a geometric measure-theoretic setting (49Q20) Antennas, waveguides in optics and electromagnetic theory (78A50) Integration and disintegration of measures (28A50) Geometric optics (78A05)
Related Items
The Wasserstein-Fisher-Rao Metric for Waveform Based Earthquake Location ⋮ Inverse reflector design for a point source and far-field target ⋮ Optimal transportation, modelling and numerical simulation ⋮ A convergent finite difference method for optimal transport on the sphere ⋮ On strict convexity and continuous differentiability of potential functions in optimal transportation ⋮ The refractor problem in reshaping light beams ⋮ Reflector problem in \({\mathbb R^n}\) endowed with non-Euclidean norm ⋮ Point source regularization of the finite source reflector problem ⋮ Far-Field Reflector Problem Under Design Constraints ⋮ On the \(L_q\)-reflector problem in \(\mathbb{R}^n\) with non-Euclidean norm ⋮ Far-field reflector problem and intersection of paraboloids ⋮ A convergence framework for optimal transport on the sphere ⋮ Regularity of potential functions of the optimal transportation problem ⋮ On the generalized \(L_q\)-reflector inverse problem with variational methods ⋮ A glimpse into the differential topology and geometry of optimal transport ⋮ On the regularity of solutions of optimal transportation problems ⋮ An iterative scheme for solving the optimal transportation problem ⋮ Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces ⋮ Adaptive mesh methods on compact manifolds via optimal transport and optimal information transport ⋮ The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations ⋮ The Kähler geometry of certain optimal transport problems ⋮ Structural results on convexity relative to cost functions ⋮ Light reflection is nonlinear optimization ⋮ Optimal transportation between unequal dimensions ⋮ The reflector problem and the inverse square law ⋮ Entire subsolutions of a kind of \(k\)-Hessian type equations with gradient terms ⋮ Iterative scheme for solving optimal transportation problems arising in reflector design ⋮ InteriorC2,αRegularity for Potential Functions in Optimal Transportation ⋮ On the classical solvability of near field reflector problems ⋮ Optimal transport: discretization and algorithms ⋮ Refractor surfaces determined by near-field data ⋮ On Monge–Ampère Type Equations and Applications ⋮ A Newton Algorithm for Semidiscrete Optimal Transport with Storage Fees ⋮ Symmetry of solutions to parabolic Monge-Ampère equations ⋮ A Minkowski-style theorem for focal functions of compact convex reflectors ⋮ Continuity and injectivity of optimal maps ⋮ Regularity of optimal maps on the sphere: the quadratic cost and the reflector antenna ⋮ An overview of mathematical modeling of geometric optics problems involving refraction ⋮ Hölder regularity of optimal mappings in optimal transportation ⋮ Solving the Monge–Ampère equations for the inverse reflector problem ⋮ Existence of optimal maps in the reflector-type problems ⋮ An Iterative Least-Squares Method for Generated Jacobian Equations in Freeform Optical Design ⋮ Optimal transportation, topology and uniqueness ⋮ Pointwise Estimates and Regularity in Geometric Optics and Other Generated Jacobian Equations