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Nordebo, S., Gustafsson, M., Ivanenko, Y., Nilsson, B. & Sjöberg, D. (2018). Cylindrical multipole expansion for periodic sources with applications for three-phase power cables. Mathematical methods in the applied sciences, 41(3), 959-965
Open this publication in new window or tab >>Cylindrical multipole expansion for periodic sources with applications for three-phase power cables
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2018 (English)In: Mathematical methods in the applied sciences, ISSN 0170-4214, E-ISSN 1099-1476, Vol. 41, no 3, p. 959-965Article in journal (Refereed) Published
Abstract [en]

This paper presents a c ylindrical multipole expansion for periodic sources with applications for three-phase power cables.It is the aim of the contribution to provide some analytical solutions and techniques that can be useful in the calculation ofcable losses. Explicit analytical results are given for the fields generated by a three-phase helical current distribution andwhich can be computed efficiently as an input to other numerical methods such as, for example , the Method of Moments.It is shown that the field computations are numerically stable at low frequencies (such as 50 Hz) as well as in the quasi-magnetostatic limit provided that sources are divergence-free. The cylindrical multipole expansion is fur thermore usedto derive an efficient analytical model of a measurement coil to measure and estimate the complex valued permeability ofmagnetic steel armour in the presence of a strong skin-effect.

Place, publisher, year, edition, pages
Wiley-Blackwell, 2018
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering Signal Processing
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-59497 (URN)10.1002/mma.3992 (DOI)000425834700011 ()
Available from: 2016-12-23 Created: 2016-12-23 Last updated: 2018-03-09Bibliographically approved
Dalarsson, M., Nordebo, S., Sjöberg, D. & Bayford, R. (2017). Absorption and optimal plasmonic resonances for small ellipsoidal particles in lossy media. Journal of Physics D: Applied Physics, 50(34), Article ID 345401.
Open this publication in new window or tab >>Absorption and optimal plasmonic resonances for small ellipsoidal particles in lossy media
2017 (English)In: Journal of Physics D: Applied Physics, ISSN 0022-3727, E-ISSN 1361-6463, Vol. 50, no 34, article id 345401Article in journal (Refereed) Published
Abstract [en]

A new simplified formula is derived for the absorption cross section of small dielectric ellipsoidal particles embedded in lossy media. The new expression leads directly to a closed form solution for the optimal conjugate match with respect to the surrounding medium, i.e. the optimal permittivity of the ellipsoidal particle that maximizes the absorption at any given frequency. This defines the optimal plasmonic resonance for the ellipsoid. The optimal conjugate match represents a metamaterial in the sense that the corresponding optimal permittivity function may have negative real part (inductive properties), and can not in general be implemented as a passive material over a given bandwidth. A necessary and sufficient condition is derived for the feasibility of tuning the Drude model to the optimal conjugate match at a single frequency, and it is found that all the prolate spheroids and some of the (not too flat) oblate spheroids can be tuned into optimal plasmonic resonance at any desired center frequency. Numerical examples are given to illustrate the analysis. Except for the general understanding of plasmonic resonances in lossy media, it is also anticipated that the new results can be useful for feasibility studies with e.g. the radiotherapeutic hyperthermia based methods to treat cancer based on electrophoretic heating in gold nanoparticle suspensions using microwave radiation.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2017
Keyword
particle absorption, plasmonic resonances, absorption cross section
National Category
Physical Sciences
Research subject
Natural Science, Physics
Identifiers
urn:nbn:se:lnu:diva-67496 (URN)10.1088/1361-6463/aa7c8a (DOI)000406527200001 ()
Available from: 2017-08-29 Created: 2017-08-29 Last updated: 2017-08-29Bibliographically approved
Nordebo, S., Dalarsson, M., Ivanenko, Y., Sjöberg, D. & Bayford, R. (2017). On the physical limitations for radio frequency absorption in gold nanoparticle suspensions. Journal of Physics D: Applied Physics, 50(15), Article ID 155401.
Open this publication in new window or tab >>On the physical limitations for radio frequency absorption in gold nanoparticle suspensions
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2017 (English)In: Journal of Physics D: Applied Physics, ISSN 0022-3727, E-ISSN 1361-6463, Vol. 50, no 15, article id 155401Article in journal (Refereed) Published
Abstract [en]

This paper presents a study of the physical limitations for radio frequency absorption in gold nanoparticle (GNP) suspensions. A spherical geometry is considered consisting of a spherical suspension of colloidal GNPs characterized as an arbitrary passive dielectric material which is immersed in an arbitrary lossy medium. A relative heating coefficient and a corresponding optimal near field excitation are defined, taking the skin effect of the surrounding medium into account. The classical Mie theory for lossy media is also revisited, and it is shown that the optimal permittivity function yielding a maximal absorption inside the spherical suspension is a conjugate match with respect to the surrounding lossy material. A convex optimization approach is used to investigate the broadband realizability of an arbitrary passive material to approximate the desired conjugate match over a finite bandwidth, similar to the approximation of a metamaterial. A narrowband realizability study shows that for a surrounding medium consisting of a weak electrolyte solution, the electromagnetic heating, due to the electrophoretic (plasmonic) resonance phenomena inside the spherical GNP suspension, can be significant in the microwave regime, provided that the related Drude parameters can be tuned into (or near to) resonance. As a demonstration, some realistic Drude parameters are investigated concerning the volume fraction, mass, and friction constant of the GNPs. The amount of charge that can be accommodated by the GNPs is identified as one of the most important design parameters. However, the problem of reliably modelling, measuring and controlling the charge number of coated GNPs is not yet fully understood, and is still an open research issue in this field. The presented theory and related physical limitations provide a useful framework for further research in this direction. Future research is also aimed at an expansion towards arbitrary suspension geometries and the inclusion of thermodynamical analysis.

National Category
Signal Processing
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-65659 (URN)10.1088/1361-6463/aa5a89 (DOI)
Available from: 2017-06-20 Created: 2017-06-20 Last updated: 2017-06-28Bibliographically approved
Ivanenko, Y., Gustafsson, M., Jonsson, B., Luger, A., Nilsson, B., Nordebo, S. & Toft, J. (2017). Passive approximation and optimization with B-splines.
Open this publication in new window or tab >>Passive approximation and optimization with B-splines
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2017 (English)Report (Other academic)
Abstract [en]

A passive approximation problem is formulated where the target function is an arbitrary complex valued continuous function defined on an approximation domain consisting of a closed interval of the real axis. The approximating function is any Herglotz function with a generating measure that is absolutely continuous with Hölder continuous density in an arbitrary neighborhood of the approximation domain. The norm used is induced by any of the standard Lp-norms where 1 ≤ p ≤ ∞. The problem of interest is to study the convergence properties of simple Herglotz functions where the generating measures are given by finite B-spline expansions, and where the real part of the approximating functions are obtained via the Hilbert transform. In practice, such approximations are readily obtained as the solution to a finite- dimensional convex optimization problem. A constructive convergence proof is given in the case with linear B-splines, which is valid for all Lp-norms with 1 ≤ p ≤ ∞. A number of useful analytical expressions are provided regarding general B-splines and their Hilbert transforms. A typical physical application example is given regarding the passive approximation of a linear system having metamaterial characteristics. Finally, the flexibility of the optimization approach is illustrated with an example concerning the estimation of dielectric material parameters based on given dispersion data. 

Publisher
p. 24
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-63878 (URN)
Funder
Swedish Foundation for Strategic Research , AM13-0011
Available from: 2017-05-18 Created: 2017-05-18 Last updated: 2017-06-09Bibliographically approved
Dalarsson, M. & Nordebo, S. (2017). The absorption of electromagnetic (EM) waves by a spherical dilute suspension of nanoparticles. Växjö
Open this publication in new window or tab >>The absorption of electromagnetic (EM) waves by a spherical dilute suspension of nanoparticles
2017 (English)Report (Other academic)
Place, publisher, year, edition, pages
Växjö: , 2017. p. 49
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Waves and Signals; Physics, Electrotechnology
Identifiers
urn:nbn:se:lnu:diva-64335 (URN)
Available from: 2017-05-23 Created: 2017-05-23 Last updated: 2017-05-24Bibliographically approved
Nordebo, S., Stumpf, M. & Ivanenko, Y. (2016). A multi-resolution 4-D FFT approach to parametric boundary integral equations for helical structures. In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS): . Paper presented at URSI International Symposium on Electromagnetic Theory (EMTS), AUG 14-18, 2016, Espoo, FINLAND (pp. 218-221). IEEE Press
Open this publication in new window or tab >>A multi-resolution 4-D FFT approach to parametric boundary integral equations for helical structures
2016 (English)In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE Press, 2016, p. 218-221Conference paper, Published paper (Refereed)
Abstract [en]

This paper gives a report of an ongoing research to develop parametric boundary integral equations for helical structures and their application in the computation of induced currents and losses in three-phase power cables. The proposed technique is formulated in terms of the Electric Field Integral Equation (EFIE) or the Magnetic Field Integral Equation (MFIE) for a penetrable object together with the appropriate periodic Green's functions and a suitable parameterization of the helical structure. A simple and efficient numerical scheme is proposed for the computation of the impedance matrix in the Method of Moments (MoM) which is based on a multi-resolution 4-D FFT computation followed by polynomial extrapolation. Numerical examples are included demonstrating that the singular integrals have almost linear convergence and hence that linear or quadratic extrapolation can be used to yield accurate results.

Place, publisher, year, edition, pages
IEEE Press, 2016
Series
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Technology (byts ev till Engineering)
Identifiers
urn:nbn:se:lnu:diva-59726 (URN)000389770800063 ()978-1-5090-2502-2 (ISBN)
Conference
URSI International Symposium on Electromagnetic Theory (EMTS), AUG 14-18, 2016, Espoo, FINLAND
Available from: 2017-01-10 Created: 2017-01-10 Last updated: 2017-03-21Bibliographically approved
Ivanenko, Y. & Nordebo, S. (2016). Approximation of dielectric spectroscopy data with Herglotz functions on the real line and convex optimization. In: Proceedings of the  2016 18th International Conference on Electromagnetics in Advanced Applications: . Paper presented at 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA, 19-23 Sept. Cairns, Australia, 2016 (pp. 863-866). IEEE
Open this publication in new window or tab >>Approximation of dielectric spectroscopy data with Herglotz functions on the real line and convex optimization
2016 (English)In: Proceedings of the  2016 18th International Conference on Electromagnetics in Advanced Applications, IEEE, 2016, p. 863-866Conference paper, Published paper (Refereed)
Abstract [en]

This paper describes the ongoing research on approximation of frequency dielectric spectroscopy measurement data. The algorithm based on passive approximation, Hilbert transform and Tikhonov regularization for non-uniformly sampled data is derived. The interpolation and extrapolation problems with application to the dielectric spectroscopy measurement data are solved using convex optimization. 

Place, publisher, year, edition, pages
IEEE, 2016
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-64263 (URN)10.1109/ICEAA.2016.7731537 (DOI)2-s2.0-85007363833 (Scopus ID)9781467398114 (ISBN)
Conference
2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA, 19-23 Sept. Cairns, Australia, 2016
Funder
Swedish Foundation for Strategic Research , AM13-0011
Available from: 2017-05-22 Created: 2017-05-22 Last updated: 2017-06-09Bibliographically approved
Ivanenko, Y. & Nordebo, S. (2016). Cylindrical multipole expansion for periodic sources with applications for three-phase power cables. In: : . Paper presented at Swedish Microwave Days, Linköping, 15-16 March, 2016 (pp. 130-130).
Open this publication in new window or tab >>Cylindrical multipole expansion for periodic sources with applications for three-phase power cables
2016 (English)Conference paper, Poster (with or without abstract) (Other academic)
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-51414 (URN)
Conference
Swedish Microwave Days, Linköping, 15-16 March, 2016
Note

Ej belagd 20160816

Available from: 2016-03-26 Created: 2016-03-26 Last updated: 2017-01-10Bibliographically approved
Ivanenko, Y. & Nordebo, S. (2016). Estimation of complex valued permeability of cable armour steel. In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS): . Paper presented at International Symposium on Electromagnetic Theory (EMTS 2016, 14–18 August 2016 in Espoo, Finland. IEEE Press
Open this publication in new window or tab >>Estimation of complex valued permeability of cable armour steel
2016 (English)In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE Press, 2016Conference paper, Published paper (Refereed)
Abstract [en]

This paper presents a model based technique to estimate the complex valued permeability of cable armour steel. An efficient analytical model is derived for the linearized mutual impedance of a transformer coil built on a core of magnetic armour steel. A numerical residue calculation is used to solve the related inverse problem based on impedance data. The analytical model is validated using commercial finite element (FEM) software to establish that edge effects can be neglected. The numerical residue calculation is investigated by studying its convergence based on a simple rectangular quadrature rule in comparison to the composite Simpson's rule. When there are no measurement errors, both methods converge with an unexpected high order (superconvergence). However, in practice the estimation performance will be governed by measurement and model errors. Assuming that there are Gaussian measurement errors, the present performance of the estimation technique is quantified and investigated by means of the Cramér-Rao lower bound. In future, the proposed method will be useful as an input to general calculations of power losses in three-phase power cables.

Place, publisher, year, edition, pages
IEEE Press, 2016
National Category
Signal Processing
Research subject
Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-59499 (URN)10.1109/URSI-EMTS.2016.7571532 (DOI)2-s2.0-84992135135 (Scopus ID)978-1-5090-2503-9 (ISBN)978-1-5090-2502-2 (ISBN)
Conference
International Symposium on Electromagnetic Theory (EMTS 2016, 14–18 August 2016 in Espoo, Finland
Available from: 2016-12-23 Created: 2016-12-23 Last updated: 2017-06-09Bibliographically approved
Nilsson, B., Ioannidis, A., Ivanenko, Y. & Nordebo, S. (2016). On absence of sources at infinity and uniqueness for waveguide solutions. In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA 2016: . Paper presented at 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA, 19-23 Sept. 2016 (pp. 780-783). IEEE Press
Open this publication in new window or tab >>On absence of sources at infinity and uniqueness for waveguide solutions
2016 (English)In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA 2016, IEEE Press, 2016, p. 780-783Conference paper, Published paper (Refereed)
Abstract [en]

This paper discusses criteria for establishing uniqueness of wave propagation problems. Causality, or passivity that implies causality, is adopted as the fundamental principle. It is stressed that radiation conditions are not applicable for waveguide modes that carry no active power. The Jones' criteria for causality in the frequency domain, which covers the convectively unstable case, are presented and analysed, the vanishing absorption principle, VAP, in particular. It is proposed to use L2 for a lossy medium but a weighted L2 for the lossless case.

Place, publisher, year, edition, pages
IEEE Press, 2016
National Category
Mathematical Analysis
Research subject
Mathematics, Applied Mathematics; Physics, Waves and Signals
Identifiers
urn:nbn:se:lnu:diva-60614 (URN)10.1109/ICEAA.2016.7731515 (DOI)2-s2.0-85007301251 (Scopus ID)978-1-4673-9811-4 (ISBN)978-1-4673-9810-7 (ISBN)
Conference
2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA, 19-23 Sept. 2016
Available from: 2017-02-09 Created: 2017-02-09 Last updated: 2017-06-09Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0002-7018-6248

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