Transverse electromagnetic wave solutions - opracowanie

Transverse electromagnetic wave solutions We have above eight equations; four of them require and are satisfied by setting both
longitudinal components to zero, i.e. Ez = 0 and Hz = 0. Because of these conditions the
resulting waves are called Transverse Electromagnetic (abbreviated as TEM) waves. The
remaining four equations, when the j factors are dropped, can be grouped as the two
pairs shown below.
βEy = −μωHx
βHx = −²ωEy (8.16)
and
βEx = μωHy
βHy = ²ωEx (8.17)
The pairs of equations above represent two independent solutions with spatial arrangements
of E, H and β as illustrated in Figure 8.1.
We note that each of these solutions has the property that the electric field, magnetic
field and propagation vector are mutually orthogonal and form a right hand system when
taken in that order. Both have the same velocity as derived below.
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