William Angerer - Department of Physics and Astronomy - University ...

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and
(-1.28)
Note that equation (4.26) follows from
(-1.29)
Step 5 - Determine the reflection coefficient at boundary a.
Steps 1 - -1 determine the tangential fields at boundary a in terms of the tangential
fields at boundary b. \Ve can write the transmission coefficient, T, in terms of the
reflection coefficient, R. R is calculated from the boundary conditions at interface a.
which are
(2 x Eta) + (2 x Eo~) = (2 x E~) + (z x E~) (-1.30 )
and
"lJ + "lJ - _ "lJ + "lJ -
rLOa + rLOa - rLla + rLla ' (-1.31)
Equation (-1.31) may be rewritten as
(-1.32)
\Ve solve equations (4.30) and (4.32) to determine Eo~'
setting £:]b = £2' It is thus
assumed that only a positive going wave exists in the substrate region, and therefore
the tangential electric field defined at boundary b, i.e. £2 = Eib is explicitly related
to the reflection coefficient.
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