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multipole expansion
, 1998
"... The gauge freedoms of enlarged Helmholtz theorem and the Neumann — Debye potentials; their manifestation in the ..."
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The gauge freedoms of enlarged Helmholtz theorem and the Neumann — Debye potentials; their manifestation in the
Multipole Expansion Model in Gravitational
, 1997
"... Nontransparent models of multipole expansion model and two pointmass model are analyzed from the catastrophe theory. Singularity behaviours of 2 npole moments are discussed. We apply these models to triple quasar PG1115+080 and compare with the typical transparent model, softened power law spheroi ..."
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Nontransparent models of multipole expansion model and two pointmass model are analyzed from the catastrophe theory. Singularity behaviours of 2 npole moments are discussed. We apply these models to triple quasar PG1115+080 and compare with the typical transparent model, softened power law
On the Multipole Expansion of the Gravitational Field
"... This paper constructs the multipole expansion (in general relativity) of the gravitational field generated by a slowlymoving isolated source. We introduce some definitions for the source multipole moments, valid to all orders in a postNewtonian expansion, and depending in a welldefined way on the ..."
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Cited by 4 (1 self)
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This paper constructs the multipole expansion (in general relativity) of the gravitational field generated by a slowlymoving isolated source. We introduce some definitions for the source multipole moments, valid to all orders in a postNewtonian expansion, and depending in a welldefined way
Dimensional Multipole Expansion
"... We examine the electromagnetic response of metamaterial unit elements consisting of dielectric rods embedded in a nonmagnetic background medium. We establish a theoretical framework where the response is described through the electric and magnetic multipole moments that are simultaneously generated ..."
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We examine the electromagnetic response of metamaterial unit elements consisting of dielectric rods embedded in a nonmagnetic background medium. We establish a theoretical framework where the response is described through the electric and magnetic multipole moments that are simultaneously
Multipole Expansion for Relativistic Coulomb Excitation
, 2008
"... We derive a general expression for the multipole expansion of the electromagnetic interaction in relativistic heavyion collisions, which can be employed in higherorder dynamical calculations of Coulomb excitation. The interaction has diagonal as well as offdiagonal multipole components, associate ..."
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We derive a general expression for the multipole expansion of the electromagnetic interaction in relativistic heavyion collisions, which can be employed in higherorder dynamical calculations of Coulomb excitation. The interaction has diagonal as well as offdiagonal multipole components
The Spherical Multipole Expansion of a Triangle
, 2014
"... We describe a technique to analytically compute the multipole moments of a charge distribution confined to a planar triangle, which may be useful in solving the Laplace equation using the fast multipole boundary element method (FMBEM). This algorithm proceeds by performing the necessary integratio ..."
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scheme, it can be generalized to nonuniform charge densities. This method has shown itself to be accurate and robust when applied to acute triangles, and fast in comparison to the two dimensional quadrature methods which are often employed to evaluate the multipole expansion coefficients of boundary
CARTESIAN MULTIPOLE EXPANSIONS AND TENSO RIAL IDENTITIES
"... Abstract—We establish the exact formulas of multipole expansion in Cartesian coordinates for the most general distribution of charges and currents (including toroidal sources). 1. ..."
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Abstract—We establish the exact formulas of multipole expansion in Cartesian coordinates for the most general distribution of charges and currents (including toroidal sources). 1.
sources and a sphericalmultipole expansion
"... Abstract. The multipole representation of Magnetoencephalography (MEG) signals is known as a useful tool for distinguishing between magnetic fields arising from the brain and external disturbances. In this contribution we extend this concept and show that a closed doublelayer surface with magnetom ..."
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Abstract. The multipole representation of Magnetoencephalography (MEG) signals is known as a useful tool for distinguishing between magnetic fields arising from the brain and external disturbances. In this contribution we extend this concept and show that a closed doublelayer surface
Multipole expansions for the FokkerPlanck equation
"... We give a sequence of operators approximating the FokkerPlanckLandau collision operator. This sequence is obtained by aplying the fast multipole method based on the work by Greengard and Rocklin [17], and tends to the exact FokkerPlanckLandau operator with an arbitrary accuracy. These operators s ..."
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Cited by 4 (2 self)
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We give a sequence of operators approximating the FokkerPlanckLandau collision operator. This sequence is obtained by aplying the fast multipole method based on the work by Greengard and Rocklin [17], and tends to the exact FokkerPlanckLandau operator with an arbitrary accuracy. These operators
Multipole expansion of strongly focussed laser beams
 J. Quant. Spectrosc. Radiat. Transfer
"... Multipole expansion of an incident radiation field—that is, representation of the fields as sums of vector spherical wavefunctions—is essential for theoretical light scattering methods such as the Tmatrix method and generalised LorenzMie theory (GLMT). In general, it is theoretically straightforwa ..."
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Cited by 10 (6 self)
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Multipole expansion of an incident radiation field—that is, representation of the fields as sums of vector spherical wavefunctions—is essential for theoretical light scattering methods such as the Tmatrix method and generalised LorenzMie theory (GLMT). In general, it is theoretically
Results 1  10
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16,464