Optimization method of a magnetic field generating a magnetic force field for magnetic nanoparticle control

We present a novel method for estimating the magnetic field that can generate the desired magnetic force to move magnetic nanoparticles in a region of interest. The magnetic field is expanded using vector spherical harmonics, and the optimal multipole moments are estimated. The multipole moments are...

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Bibliographic Details
Published inAIP advances Vol. 14; no. 2; pp. 025109 - 025109-7
Main Authors Fushimi, M., Yoshioka, H., Sekino, M.
Format Journal Article
LanguageEnglish
Published Melville American Institute of Physics 01.02.2024
AIP Publishing LLC
Subjects
Algorithms
Estimation
Magnetic fields
Multipoles
Nanoparticles
Numerical analysis
Quadratic equations
Quadratic forms
Spherical harmonics
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Summary:We present a novel method for estimating the magnetic field that can generate the desired magnetic force to move magnetic nanoparticles in a region of interest. The magnetic field is expanded using vector spherical harmonics, and the optimal multipole moments are estimated. The multipole moments are included in quadratic form because the magnetic force is defined as the product of the magnetic field and its gradient. We transform the system of quadratic equations into a rank-one-matrix estimation problem to construct a convex numerical algorithm based on a well-established proximal operation. The proposed method was validated using numerical simulations and can be used to design magnetic force patterns that cannot be generated using a simple coil pair.
ISSN:2158-3226
2158-3226
DOI:10.1063/9.0000746