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Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

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and y can again be so adjusted that C; = DL = 1. = 0 for<br />

Yo L - Gn +<br />

z = 0 requires then C = - I, and Gn + 0 for z + m demands DL = 0<br />

1<br />

Starting with these initial values, the boundary conditions yield<br />

the forward and backward recurrence relations<br />

where<br />

c 1<br />

@ = a /a and gn, = - exp{?a -h 1)<br />

~n in m 2<br />

m h m<br />

p is the source layer. There is no recurrence required. for the C-<br />

term if u = 1 and for the D-terms if y = L.<br />

The free factors follow again frorn the source.represcntation<br />

which must account for the difference for upward and downward<br />

travel-ling waves at z = z . Hence,<br />

0<br />

With the present determination of the field Gn satisfies again<br />

the reciprocity relation G .(r Ir) = G (r 1 r ) . (Proof?)<br />

1 -0 n - -0<br />

-

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