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TEM wave Solutions

We now notę again that the equations 9.3 which we seek to solve are the same as those of

the lossless case studied in Chaper 8, except that co² has been replaced by u)²-jo. Thus a

corresponding set of Solutions, with the same replacement, can be derived. We will quote

below the results which are obtained by making this replacement.

First the propagation vector, in the z direction, is

Y= <*+ j3=j q

U)H(u)² - jo). (9.5)

Next the wave impedance is

n=

Ei(0)

Hi(0)

Eo

Ho

s

U) (i

U)² - jo • (9.6)

The spatial relation of the field components is preserved. The electric field E and the magnetic field H are still at right angles, and E, H and pstill form a right hand system

of vectors. Notę, however, that E and H are no longer in time phase, because qis no longer real.

We can distinguish now the important practical cases of smali loss and large loss.