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Electromagnetic Wave Propagation

1.1 PROPERTIES OF PLANE ELECTROMAGNETIC WAVE

1.1.1 Equation of Wave or Propagation

Electromagnetic waves are propagated in a vacuum, in dielectrics and conductors; here we will be interested in the propagation of radiated waves of periodic type that are characterized by a wavelength defined by a wave velocity which depends on the permittivity and permeability of the crossed medium.

Thus we consider a plane wave, as represented in Figure 1.1, propagating in direction x of an orthogonal reference system (x, y, z) while transporting the electric field E polarized in the direction y and the magnetic induction B in the direction z. The properties of such a wave can be deduced from Maxwell's equations, which link together the electric field E, the magnetic induction B, and the current density J:

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where μ = absolute permeability of medium of propagation (H m−1)

ε = its absolute permittivity (F m−1)

These equations can also be written in differential form by considering, for example, a nonconducting medium (J = 0):

Figure 1.1 Plane electromagnetic ...

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