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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.

3Ey = -pu>Hx 3Hx= -²u)E_y (8.16) and

3Ex= pcoHy pH_y= ²o)Ex (8.17)

The pairs of equations above represent two independent Solutions with spatial arrangements

of E, H and 3 as illustrated in Figurę 8.1.

We notę 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.