Comment on ‘‘Image theory for electrostatic and magnetostatic problems involving a material sphere,’’ by Ismo V. Lindell [Am. J. Phys. <b>61</b>, 39–44 (1993)]

Bussemer, P.

doi:10.1119/1.17487

Cited by 9 publications

(10 citation statements)

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“…It was rediscovered several times in recent decades in different fields of application, for example, [222, 67, 58, 155, 121, 30, 145]. A recent review by Lindell [147] summarizes in more detail the history of Neumann's image principle.…”

Section: Hybrid Solvation Modelsmentioning

confidence: 99%

Fast Analytical Methods for Macroscopic Electrostatic Models in Biomolecular Simulations

Xu¹,

Cai²

2011

SIAM Rev.

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We review recent developments of fast analytical methods for macroscopic electrostatic calculations in biological applications, including the Poisson–Boltzmann (PB) and the generalized Born models for electrostatic solvation energy. The focus is on analytical approaches for hybrid solvation models, especially the image charge method for a spherical cavity, and also the generalized Born theory as an approximation to the PB model. This review places much emphasis on the mathematical details behind these methods.

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Section: Hybrid Solvation Modelsmentioning

confidence: 99%

Fast Analytical Methods for Macroscopic Electrostatic Models in Biomolecular Simulations

Xu¹,

Cai²

2011

SIAM Rev.

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“…The transmitted image charge is given by a point charge at R 0 = (0, 0, d) plus a line charge density extending from R 0 to infinity along the z-axis. This solution in terms of image charges has been first obtained by Neumann [18] more than one hundred years ago and rediscovered more recently by Lindell [26,29,30]. The corresponding solution for TI sphere can also be obtained.…”

Section: Solution For a Point Charge In The Presence Of A Topological...mentioning

confidence: 70%

“…More details and a pedagogical solution for a spherical TI is included in the SI (see also Refs. [24][25][26][27][28][29][30]…”

Section: Conclusion -mentioning

confidence: 99%

Absence of induced magnetic monopoles in Maxwellian magnetoelectrics

Nogueira,

Brink

2018

Preprint

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The electromagnetic response of topological insulators is governed by axion electrodynamics, which features a topological magnetoelectric term in the Maxwell equations. As a consequence magnetic fields become the source of electric fields and vice-versa, a phenomenon that is general for any material exhibiting a linear magnetoelectric effect. Axion electrodynamics has been associated with the possibility to create magnetic monopoles, in particular by a electrical charge that is screened above the surface of a magnetoelectric material. Here we present the exact solution for the electromagnetic fields in this geometry and show that while vortex-like magnetic screening fields are generated by the electrical charge their divergence is identically zero at every point in space which implies a strict absence of magnetic monopoles. Although magnetic image charges can be made explicit in the problem, no bound state with electric charges yielding a dyon arises. A dyon-like angular momentum follows from our analysis, but is quantized in a universal way, because of its dependence on the dielectric constant. This is consistent with a general argument that precludes magnetic monopoles to be generated in Maxwell magnetoelectrics.

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“…Next, we proceed to the closed form analytic solutions for the monopole-magnetic sphere interaction problem. The magnetostatic potential expressions (due to an initial magnetic source) given in ( 16) and ( 17) can be cast into closed form exact solutions (see [17,26,27] for details). By using the representation of the potential due to an initial source Φ 0 in closed and infinite series forms given in ( 9) and (10) it is possible to determine the sums of the infinite series in (16) and (17).…”

Section: Exact Solution For a Monopole-magnetic Sphere Interaction Problemmentioning

confidence: 99%

Magnetic Monopole Interaction with a Magnetic Sphere

Alarki¹,

Palaniappan²

2021

Int J Magnetics Electromagnetism

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The two-phase problem of a magnetic sphere of radius a with permeability constant µ i (interior phase) interacting with a monopole/magnetic source located at (0, 0, c), c > a, in the host medium with permeability µ e (exterior phase) is addressed in this paper. By considering the Maxwell-Maxwell (MM) framework, exact results for the scalar magnetostatic potentials in the regions exterior and interior to the magnetic sphere are presented in various forms. The constructed potentials in infinite series and closed forms satisfy a set of mixed boundary conditions on the sphere and provide image system interpretations similar to those in electrostatics. An alternative form of the solution reveals a new interpretation that the image system can also be expressed as a distribution of magnetic dipoles between the sphere center and the Kelvin's inverse

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Comment on ‘‘Image theory for electrostatic and magnetostatic problems involving a material sphere,’’ by Ismo V. Lindell [Am. J. Phys. 61, 39–44 (1993)]

Cited by 9 publications

References 0 publications

Fast Analytical Methods for Macroscopic Electrostatic Models in Biomolecular Simulations

Fast Analytical Methods for Macroscopic Electrostatic Models in Biomolecular Simulations

Absence of induced magnetic monopoles in Maxwellian magnetoelectrics

Magnetic Monopole Interaction with a Magnetic Sphere

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