Propagation of Electromagnetic SignalsMaxwell's equations have been the basis of electromagnetic theory for a century. They were very successful in providing solutions with sinusoidal time variation, but these solutions are outside the causality law and the conservation law for energy. Signal solutions, which satisfy these two laws, generally do not exist, but can be obtained by adding a term for magnetic dipole currents to Maxwell's equations. Such currents are caused by the rotation of magnetic dipoles, ranging from the hydrogen atom to the magnetic compass needle. Many computer plots of the time variation of electric and magnetic field strengths excited by signals are given in this useful book. |
Contents
Introduction | 1 |
Electric Exponential Ramp Function Excitation | 3 |
Electric Field Strength Due to Electric Step Excitation | 55 |
Electric Field Strength for Ramp Excitation | 157 |
Magnetic Step and Ramp Function Excitation | 202 |
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açao according Aharonov-Bohm effect analytic analytic functions Associated electric field associated magnetic field boundary condition calculation causality law ch(a² charge carriers column conservation law curl current density DEFINED IN TABLE derived dipole currents dn n² effect electric and magnetic electric excitation force electric field strength electromagnetic excitation function exponential ramp function finite Fourier transform Harmuth Hence infinite initial conditions integration constants interval magnetic charge magnetic current density magnetic dipoles magnetic field strength magnetic monopoles mass mathematical Maxwell's equations ni≤n obtain Ohm's law physical plots quadratically integrable ramp function result rewrite satisfy Section shown sinusoidal small values step function Substitution transient U₁R v₁ v₁)² variation vector potential velocity w₁ w₂ wave yields zero ән მყ