Electrostatic image theory for an anisotropic boundary

Lindell, Ismo V.; Hänninen, Jari J.; Nikoskinen, K.

doi:10.1049/ip-smt:20040093

Cited by 3 publications

(8 citation statements)

References 2 publications

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“…which is similar to the function F (x, z) encountered in [2] when solving the problem of a point charge in an isotropic half-space over an anisotropic impedance surface. Therefore it is not necessary to repeat the solution process of the resulting Klein-Gordon type equationit is sufficient to compare the corresponding equation here and in the reference, and to write out the solution for z + z 0 ≤ 0 immediately:…”

Section: The Planar Image Functionmentioning

confidence: 73%

“…To summarize, we have a point charge in the laterally shifted mirror image point and a slanted, laterally skewed planar sector of surface charge, the tip of which is in the shifted mirror image point, Figure 2. As has been shown in [2], the planar part has concentrated line charges on its edges (due to the differentiation ∂ z Θ(z)), and between the edges there is a smooth distribution of surface charge. Alternative expressions for the surface charge have been given in the same article.…”

Section: The Solutionmentioning

confidence: 76%

“…The dyadic double-cross product × × , double-dot product : , and double-cross squareĀ (2) are (āb) × × (cd) = (ā ×c)(b ×d), (āb) : (cd) = (ā ·c)(b ·d),…”

Section: Appendix a Dyadic Formulas For The Mediamentioning

confidence: 99%

“…This means that α i − 1 is an eigenvalue ofĪ t ·¯ (2) r ·Ī t (the planarized (2) r ) and thatt i is the corresponding eigenvector. One important property ofT shall be mentioned last.…”

Section: Appendix a Dyadic Formulas For The Mediamentioning

confidence: 99%

“…Over the years limited special solutions have been worked out, for example, for an anisotropic halfspace over a perfectly electrically or magnetically conducting surface [1], for an isotropic half-space bounded by an anisotropic surface [2], and for a similarly anisotropic half-space and boundary [3]. Our proposed general solution, in contrast, will work with all physically justified medium parameters, and the known cases are built in the new theory, as will be shown.…”

Section: Introductionmentioning

confidence: 99%

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Electrostatic Image Theory for an Anisotropic Boundary of an Anisotropic Half-Space

Hänninen¹,

Lindell²,

Nikoskinen³

2004

PIER

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Abstract-A novel image solution for the canonical electrostatic problem of a point charge in an anisotropic half-space bounded by an anisotropic surface is presented. The image source is obtained in operator form by using Fourier-transformed Maxwell equations and transmission line theory. After applying methods from Heaviside operator calculus, the image operator can be interpreted as a combination of a point charge and a line-charge-bounded sector of planar charge density. The new theory is shown to coincide with the previously known image solutions of less general anisotropic media. In addition to being applicable to any physically feasible anisotropic medium of electrostatics, the method can be used for steady-current conductivity problems via a duality transformation.

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Section: The Planar Image Functionmentioning

confidence: 73%

Section: The Solutionmentioning

confidence: 76%

“…The dyadic double-cross product × × , double-dot product : , and double-cross squareĀ (2) are (āb) × × (cd) = (ā ×c)(b ×d), (āb) : (cd) = (ā ·c)(b ·d),…”

Section: Appendix a Dyadic Formulas For The Mediamentioning

confidence: 99%

Section: Appendix a Dyadic Formulas For The Mediamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Electrostatic Image Theory for an Anisotropic Boundary of an Anisotropic Half-Space

Hänninen¹,

Lindell²,

Nikoskinen³

2004

PIER

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Magnetic dipole radiation tailored by substrates: numerical investigation

et al. 2014

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8Nanoparticles of high refractive index materials can possess strong magnetic polarizabilities and give 9 rise to artificial magnetism in the optical spectral range. While the response of individual dielectric or 10 metal spherical particles can be described analytically via multipole decomposition in the Mie series, the 11 influence of substrates, in many cases present in experimental observations, requires different approaches. 12Here, the comprehensive numerical studies of the influence of a substrate on the spectral response of high-13 index dielectric nanoparticles were performed. In particular, glass, perfect electric conductor, gold, and

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Anisotropy component of electromagnetic force and torque

Spałek¹

2010

Bulletin of the Polish Academy of Sciences: Technical Sciences

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The paper deals with the problem of surface-integral representation of electromagnetic force/torque for magnetically anisotropic region. It is pointed out that in some anisotropic regions a component of electromagnetic force/torque appears-the so-called anisotropy component. The total electromagnetic field force/torque calculated with the help of Maxwell's and Lorentz's methods could lead to the different values for some anisotropic medium (homogeneous, without hysteresis). The coenergy method is used to evaluate total force/torque too. Analytical calculations of force/torque for isotropic and anisotropic media in electromagnetic field are presented. The condition for surface integral representation of Lorentz's either force or torque is formulated.

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Electrostatic image theory for an anisotropic boundary

Cited by 3 publications

References 2 publications

Electrostatic Image Theory for an Anisotropic Boundary of an Anisotropic Half-Space

Electrostatic Image Theory for an Anisotropic Boundary of an Anisotropic Half-Space

Magnetic dipole radiation tailored by substrates: numerical investigation

Anisotropy component of electromagnetic force and torque

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