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Updated: Apr 22, 2026

Spectral and Angle-Resolved Magneto-Optical Characterization of Photonic Nanostructures
Published on: November 21, 2019
Transformation magneto-statics and illusions for magnets
11] Centre for Optical and Electromagnetic Research, Zhejiang Provincial Key Laboratory for Sensing Technologies, JORCEP, East Building #5, Zijingang Campus, Zhejiang University, Hangzhou 310058, China [2] Department of Electromagnetic Engineering, School of Electrical Engineering, Royal Institute of Technology (KTH), S-100 44 Stockholm, Sweden.
Researchers developed transformation magneto-statics to design magnets using coordinate transformations, creating novel DC magnetic field illusions like rescaling and cancelling magnets through simulations.
Area of Science:
- Physics
- Electromagnetism
- Materials Science
Background:
- Transformation optics utilizes coordinate transformations to manipulate electromagnetic fields.
- Maxwell's equations are invariant under coordinate transformations, providing a theoretical basis for field manipulation.
Purpose of the Study:
- To extend transformation optics principles to the domain of magnetostatics.
- To establish a method for designing magnets and controlling DC magnetic fields via coordinate transformations.
Main Methods:
- Leveraging the form-invariance of Maxwell's equations under coordinate transformations.
- Applying transformation optics concepts to magnetostatic field design.
- Utilizing numerical simulations to design and verify novel magnetic field configurations.
Main Results:
- Successfully extended transformation optics to transformation magneto-statics.
- Designed novel DC magnetic field illusions, including rescaling, cancelling, and overlapping magnets.
- Verified the designed magnetic field illusions through numerical simulations.
Conclusions:
- Transformation magneto-statics offers a new paradigm for designing magnets.
- Coordinate transformations provide a powerful tool for controlling DC magnetic fields.
- This research opens new avenues for advanced magnet design and magnetic field manipulation.
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