Power-Energy/Force-Momentum Relations and Additional Boundary Conditions for Spatially Dispersive Polarized Materials

Abstract

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 paramagnetic/ferro(i) 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 materials/metamaterials 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 charge(monopoles) or magnetic-charge dipoles.)

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Document Details

Document Type
Technical Report
Publication Date
Jul 25, 2019
Accession Number
AD1096532

Entities

People

  • Arthur Yaghjian

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boundaries
  • Delta Functions
  • Differential Equations
  • Dipole Moments
  • Dipoles
  • Electric Fields
  • Electrodynamics
  • Electromagnetic Fields
  • Equations
  • Evanescent Waves
  • Magnetic Dipoles
  • Magnetic Fields
  • Maxwells Equations
  • Metamaterials
  • Momentum
  • Radiation

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics
  • Theoretical Analysis.

Technology Areas

  • Microelectronics