Reply to "Comment on 'Performance of Halbach magnet with finite coercivity'"

Andrea Roberto Insinga; Christian Bahl; Rasmus Bjørk; A. Smith

doi:10.1016/j.jmmm.2016.11.085

Reply to "Comment on 'Performance of Halbach magnet with finite coercivity'"

Andrea Roberto Insinga, Christian Bahl, Rasmus Bjørk, A. Smith

Department of Energy Conversion and Storage

Research output: Contribution to journal › Comment/debate › Research

Abstract

We reply to Dr. Xu's comment on our paper 'Performance of Halbach magnet arrays with finite coercivity' (JMMM 407 (2016), 369-376). Contrary to Dr. Xu's objections we show that the procedure employed by us correctly accounts for the shape effects of the magnet elements. We show that the partial differential equation for the magnetic vector potential, derived from the Maxwell equations, incorporates all shape effects. On the other hand, the local constitutive relations express a point-wise link between, e.g., magnetic field and magnetic flux density, and are as such independent of geometry. We confirm that the results of our computations are perfectly consistent with the constitutive relation which is assumed as starting point.

Original language	English
Journal	Journal of Magnetism and Magnetic Materials
Volume	429
Pages (from-to)	386-389
ISSN	0304-8853
DOIs	https://doi.org/10.1016/j.jmmm.2016.11.085
Publication status	Published - 2017

Keywords

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Demagnetization
Halbach magnet
Reversal of remanence
Coercive force
Magnetism
Maxwell equations
Constitutive relations
Halbach magnet array
Halbach magnets
Magnetic vector potentials
Point wise
Shape effect
Magnets

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@article{52a32e097e464a6c87fc32954bae231a,

title = "Reply to {"}Comment on 'Performance of Halbach magnet with finite coercivity'{"}",

abstract = "We reply to Dr. Xu's comment on our paper 'Performance of Halbach magnet arrays with finite coercivity' (JMMM 407 (2016), 369-376). Contrary to Dr. Xu's objections we show that the procedure employed by us correctly accounts for the shape effects of the magnet elements. We show that the partial differential equation for the magnetic vector potential, derived from the Maxwell equations, incorporates all shape effects. On the other hand, the local constitutive relations express a point-wise link between, e.g., magnetic field and magnetic flux density, and are as such independent of geometry. We confirm that the results of our computations are perfectly consistent with the constitutive relation which is assumed as starting point.",

keywords = "Electronic, Optical and Magnetic Materials, Condensed Matter Physics, Demagnetization, Halbach magnet, Reversal of remanence, Coercive force, Magnetism, Maxwell equations, Constitutive relations, Halbach magnet array, Halbach magnets, Magnetic vector potentials, Point wise, Shape effect, Magnets",

author = "Insinga, {Andrea Roberto} and Christian Bahl and Rasmus Bj{\o}rk and A. Smith",

year = "2017",

doi = "10.1016/j.jmmm.2016.11.085",

language = "English",

volume = "429",

pages = "386--389",

journal = "Journal of Magnetism and Magnetic Materials",

issn = "0304-8853",

publisher = "Elsevier",

}

TY - JOUR

T1 - Reply to "Comment on 'Performance of Halbach magnet with finite coercivity'"

AU - Insinga, Andrea Roberto

AU - Bahl, Christian

AU - Bjørk, Rasmus

AU - Smith, A.

PY - 2017

Y1 - 2017

N2 - We reply to Dr. Xu's comment on our paper 'Performance of Halbach magnet arrays with finite coercivity' (JMMM 407 (2016), 369-376). Contrary to Dr. Xu's objections we show that the procedure employed by us correctly accounts for the shape effects of the magnet elements. We show that the partial differential equation for the magnetic vector potential, derived from the Maxwell equations, incorporates all shape effects. On the other hand, the local constitutive relations express a point-wise link between, e.g., magnetic field and magnetic flux density, and are as such independent of geometry. We confirm that the results of our computations are perfectly consistent with the constitutive relation which is assumed as starting point.

AB - We reply to Dr. Xu's comment on our paper 'Performance of Halbach magnet arrays with finite coercivity' (JMMM 407 (2016), 369-376). Contrary to Dr. Xu's objections we show that the procedure employed by us correctly accounts for the shape effects of the magnet elements. We show that the partial differential equation for the magnetic vector potential, derived from the Maxwell equations, incorporates all shape effects. On the other hand, the local constitutive relations express a point-wise link between, e.g., magnetic field and magnetic flux density, and are as such independent of geometry. We confirm that the results of our computations are perfectly consistent with the constitutive relation which is assumed as starting point.

KW - Electronic, Optical and Magnetic Materials

KW - Condensed Matter Physics

KW - Demagnetization

KW - Halbach magnet

KW - Reversal of remanence

KW - Coercive force

KW - Magnetism

KW - Maxwell equations

KW - Constitutive relations

KW - Halbach magnet array

KW - Halbach magnets

KW - Magnetic vector potentials

KW - Point wise

KW - Shape effect

KW - Magnets

U2 - 10.1016/j.jmmm.2016.11.085

DO - 10.1016/j.jmmm.2016.11.085

M3 - Comment/debate

VL - 429

SP - 386

EP - 389

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

SN - 0304-8853

ER -