Results 1 to 10 of about 345,056 (285)
Transformation optics in orthogonal coordinates [PDF]
Journal of Optics A: Pure and Applied Optics, 2008 The author proposes the methodology of transformation optics in orthogonal coordinates to obtain the material parameters of the transformation media from the mapping in orthogonal coordinates. Several examples are given to show the applications of such a
Chen, Huanyang
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Are Orthogonal Separable Coordinates Really Classified? [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 We prove that the set of orthogonal separable coordinates on an arbitrary (pseudo-)Riemannian manifold carries a natural structure of a projective variety, equipped with an action of the isometry group. This leads us to propose a new, algebraic geometric approach to the classification of orthogonal separable coordinates by studying the structure of ...
Konrad Schöbel +3 more
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Orthogonal Trajectories in Vectorial Coordinates [PDF]
Proceedings of the Edinburgh Mathematical Society, 1909 The position of a point in a plane may be determined by its distances (r, ρ) from two fixed points which may be termed foci. These distances are termed vectorial coordinates. The determination is unique if attention is confined to the half-plane bounded by the line of foci.
J. I. Craig
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Generations of orthogonal surface coordinates [PDF]
, 1980 Two generation methods were developed for three dimensional flows where the computational domain normal to the surface is small. With this restriction the coordinate system requires orthogonality only at the body surface.
Blottner, F. G., Moreno, J. B.
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Orthogonal coordinates on 4 dimensional Kähler manifolds [PDF]
, 2023 12 pages, no ...
David L. Johnson
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Coordinate Interleaved Orthogonal Design With Media-Based Modulation [PDF]
IEEE Transactions on Vehicular Technology, 2021 In this work, we propose a new multiple-input multiple-output (MIMO) concept, which is called coordinate interleaved orthogonal design with media-based modulation (CIOD-MBM). The proposed two novel CIOD-MBM schemes provide improved data rates as well as diversity gain while enabling hardware simplicity using a single radio frequency (RF) chain ...
Yildirim, Ibrahim +2 more
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Complete sets of invariants for dynamical systems that admit a separation of variables [PDF]
, 2002 Consider a classical Hamiltonian H in n dimensions consisting of a kinetic energy term plus a potential. If the associated Hamilton–Jacobi equation admits an orthogonal separation of variables, then it is possible to generate algorithmically a canonical ...
Bonatos D. +12 more
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Multidimensional Toda Lattices: Continuous and Discrete Time [PDF]
, 2016 In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates.
Aptekarev, Alexander I. +3 more
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Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature [PDF]
, 2016 We review the theory of orthogonal separation of variables of the Hamilton-Jacobi equation on spaces of constant curvature, highlighting key contributions to the theory by Benenti.
McLenaghan, Raymond G. +2 more
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Displacement Potentials in Orthogonal Curvilinear Coordinates
Zisin (Journal of the Seismological Society of Japan. 2nd ser.), 1971 Kyozi TAZIME
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