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Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media
 IEEE Trans. Antennas and Propagation
, 1966
"... The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium are in ..."
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Cited by 1048 (0 self)
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The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium
A 3D Perfectly Matched Medium from Modified Maxwell's Equations with Stretched Coordinates
 Microwave Opt. Tech. Lett
, 1994
"... A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three cartesian coordinates. The added degrees of freedom in the modified Maxwell's equations allow the specification of absorbing boundaries with zero reflection at all angles of incid ..."
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Cited by 256 (18 self)
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of incidence and all frequencies. The modified equations are also related to the perfectly matched layer that was presented recently for 2D wave propagation. Absorbing material boundary conditions are of particular interest for finite difference time domain (FDTD) computations on a singleinstruction multiple
Sensetable: A Wireless Object Tracking Platform for Tangible User Interfaces
"... In this paper we present a system that electromagnetically tracks the positions and orientations of multiple wireless objects on a tabletop display surface. The system offers two types of improvements over existing tracking approaches such as computer vision. First, the system tracks objects quickly ..."
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Cited by 151 (12 self)
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In this paper we present a system that electromagnetically tracks the positions and orientations of multiple wireless objects on a tabletop display surface. The system offers two types of improvements over existing tracking approaches such as computer vision. First, the system tracks objects
On the conditioning of random subdictionaries
 Appl. Comput. Harmonic Anal
"... Abstract. An important problem in the theory of sparse approximation is to identify wellconditioned subsets of vectors from a general dictionary. In most cases, current results do not apply unless the number of vectors is smaller than the square root of the ambient dimension, so these bounds are too ..."
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Cited by 96 (8 self)
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to the uniqueness of sparse representations and the success of ℓ1 minimization techniques for signal recovery. Indeed, if a fixed subdictionary is well conditioned and its cardinality is slightly smaller than the ambient dimension, then a random signal formed from this subdictionary almost surely has no other
Random projections of smooth manifolds
 Foundations of Computational Mathematics
, 2006
"... We propose a new approach for nonadaptive dimensionality reduction of manifoldmodeled data, demonstrating that a small number of random linear projections can preserve key information about a manifoldmodeled signal. We center our analysis on the effect of a random linear projection operator Φ: R N ..."
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Cited by 144 (26 self)
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, like the fundamental bound in CS, our requisite M is linear in the “information level” K and logarithmic in the ambient dimension N; we also identify a logarithmic dependence on the volume and conditioning of the manifold. In addition to recovering faithful approximations to manifoldmodeled signals
Ground States in Nonrelativistic Quantum Electrodynamics
, 2000
"... The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state — one that minimizes the energy and satisfies the Schrödinger equation. We prove quite generally that this state exis ..."
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Cited by 131 (15 self)
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The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state — one that minimizes the energy and satisfies the Schrödinger equation. We prove quite generally that this state
AND SAFETY CONDITIONS IN ELECTROMAGNETIC ENVIRON
"... The electromagnetic equivalent of a biological head is postulated. The ideal conditions for working of the human brain in a safe condition are derived. The field equations are written in spherical coordinates with (FD)2TD method for the scattering of the circular current loops around the head. Then ..."
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The electromagnetic equivalent of a biological head is postulated. The ideal conditions for working of the human brain in a safe condition are derived. The field equations are written in spherical coordinates with (FD)2TD method for the scattering of the circular current loops around the head
The varieties of boundary conditions in electromagnetics
"... Boundary conditions are essential in the solution procedures of electromagnetic field problems. This applies in analytical as well as in computational approaches to find out the fields in a given environment. It is an obvious and accepted fact that too loose conditions do not determine the solution ..."
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Boundary conditions are essential in the solution procedures of electromagnetic field problems. This applies in analytical as well as in computational approaches to find out the fields in a given environment. It is an obvious and accepted fact that too loose conditions do not determine the solution
Covariant jump conditions in electromagnetism
, 2014
"... A generally covariant fourdimensional representation of Maxwell’s electrodynamics in a generic material medium can be achieved straightforwardly in the metricfree formulation of electromagnetism. In this setup, the electromagnetic phenomena described by two tensor fields, which satisfy Maxwell’s ..."
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A generally covariant fourdimensional representation of Maxwell’s electrodynamics in a generic material medium can be achieved straightforwardly in the metricfree formulation of electromagnetism. In this setup, the electromagnetic phenomena described by two tensor fields, which satisfy Maxwell
Results 1  10
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8,129