Power-Energy/Force-Momentum Relations and Additional Boundary Conditions for Spatially Dispersive Polarized Materials
Technical Report,01 Apr 2016,31 Mar 2019
S4, INC BURLINGTON, United States
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The primary tasks that were proposed and successfully completed can be briefly summarized as follows Determine unambiguous macroscopic power and energy relations that hold for diamagnetic as well as paramagneticferroi magnetic media and that elucidate the role of hidden energy Using our rigorous homogenization theory of spatial dispersion, formulate a general method for determining the additional boundary conditions ABCs needed for spatially dispersive dipolar materialsmetamaterials and higher-order multipolar media directly from Maxwells equations and the constitutive relations Derive an exact solution for the force on Amperian circulating current magnetic dipoles in arbitrarily time varying fields to decide with certainty whether there exists a hidden-momentum force on Amperian magnetic dipoles, that is, on the magnetic dipoles found in materials and metamaterials. All experiments to date have failed to find magnetic chargemonopoles or magnetic-charge dipoles.
- Electricity and Magnetism