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Non-Linear ECE Electromagnetism

Non-Linear ECE Electromagnetism. Douglas W. Lindstrom. AIAS July 2013. Need for Non-Linearity. Need for Non-Linearity. From Gauss’s Law. Note that if. This is the “Lindstrom Constraint” for magnetic antisymmetry. Need for Non-Linearity. Substituting these into the Faraday Equation.

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Non-Linear ECE Electromagnetism

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  1. Non-Linear ECE Electromagnetism Douglas W. Lindstrom AIAS July 2013

  2. Need for Non-Linearity

  3. Need for Non-Linearity From Gauss’s Law Note that if This is the “Lindstrom Constraint” for magnetic antisymmetry.

  4. Need for Non-Linearity Substituting these into the Faraday Equation Write Then a Maxwell-Heaviside theory emerges, i.e.

  5. Non-Linear Field Equations From the first Bianchi Identity Until now Giving

  6. Non-Linear Field Equations If we re-define the 4-current densities as Then new non-linear field equations emerge

  7. Non-Linear Field Equations In vector notation

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