2014
DOI: 10.1038/srep06593
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Transformation magneto-statics and illusions for magnets

Abstract: Based on the form-invariant of Maxwell's equations under coordinate transformations, we extend the theory of transformation optics to transformation magneto-statics, which can design magnets through coordinate transformations. Some novel DC magnetic field illusions created by magnets (e.g. rescaling magnets, cancelling magnets and overlapping magnets) are designed and verified by numerical simulations. Our research will open a new door to designing magnets and controlling DC magnetic fields.

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Cited by 26 publications
(29 citation statements)
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“…[55]) is transformed into that of a different one (a perfect diamagnet) by enclosing the former in a shell emulating a negative-μ behavior. Other illusions such as magnifying or shrinking materials, cloaks, and anticloaks [56][57][58][59][60] can also be realized using the same scheme [55]. Another intriguing possibility that may eventually become possible based on our results may be the realization of exterior cloaks [35,36].…”
Section: -8mentioning
confidence: 87%
“…[55]) is transformed into that of a different one (a perfect diamagnet) by enclosing the former in a shell emulating a negative-μ behavior. Other illusions such as magnifying or shrinking materials, cloaks, and anticloaks [56][57][58][59][60] can also be realized using the same scheme [55]. Another intriguing possibility that may eventually become possible based on our results may be the realization of exterior cloaks [35,36].…”
Section: -8mentioning
confidence: 87%
“…[16][17][18][19][20][21] Recently, the spirit of TO is extended to manipulate other waves or flows including acoustic wave, [22][23][24] thermal flow, [25][26][27][28][29][30][31] DC electric or magnetic field, and particle diffusion. [32][33][34][35][36][37][38][39] That is, the TO provides an interesting and promising method to manipulate multiple physical fields universally.…”
Section: Doi: 101002/adts201700004mentioning
confidence: 99%
“…These applications include thermal cloaking, illusion and manipulation, and even acoustic cloaking, illusion and controlling. Though ''scattering'' does not apply or directly apply to these applications, similar methodologies can be borrowed in various designs [20,[63][64][65][66][67][68][69].…”
Section: Cloakmentioning
confidence: 99%