16.1.The Generalization of Ampere’s Law: Displacement Current
We are therefore led to revise Ampere’s law and write it in the form
And refer to the time derivative of D as the displacement current.
16.2.Maxwell’s Equations and Their Emperical Basis
16.3.Electromagnetic Energy
S = E x H
u = 
where S is called the Poynting vector
16.4.The Wave Equation
One of the most important consequences of Maxwell’s equations is the equation for electromagnetic wave propagation in a linear medium.
Putting D = 
E and J = gE and assuming 
and to be constants, we obtain
E and J = gE and assuming and to be constants, we obtain
16.5.Monochromatic Waves
The methods of complex analysis provide a convenient wav of implementing this producere. The time dependence of the field (for definiteness we take the vector E) is taken to be as 
, so that
, so that E(r,t) = E(r)
16.6.Boundary Conditions
The boundary conditions that must be satisfied by the electric and magnetic fields at an interface between two media are deduced from Maxwell’s equations exactly as in the static case. The most straightforward and universal boundary condition applies to the magnetic induction B, which satisfies the Maxwell equation
16.7.The Wave Equation with Sources
where t’ = t - 
/c is called the retarded time; 
is known as the retarded scalar potential.
/c is called the retarded time; is known as the retarded scalar potential. A(r,t) = 
Which is the retarded vector potential.
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