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Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

Schmucker-Weidelt Lecture Notes, Aarhus, 1975 - MTNet

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Then the discontinuity between cell (i, j) and 1 j contribu-tes<br />

to the integral<br />

It has been used that H and p E are continuous across interfaces.<br />

an<br />

The contributioll frcm the i + i j + I interface is<br />

The integral equation is decomposed into a set of linear equations<br />

for the Ha-values at each cell. The electric fLeld is then obtained<br />

by differentiating (3.56) with respect to the coordinates of E ~ .<br />

-<br />

It remains to calculate Gn. At z = 0 G has to sat.i.sfy the boundary<br />

n<br />

condition of Ha, i.e. Ha = 0, : Gn = 0. The boundary condi.tions at<br />

interfaces are G and(l/cr)a~~/az continuous. Assume aqain L uniform<br />

n<br />

layers with conductivities ol, 02, . . . , and upper edges at<br />

OL<br />

hl = 0, h2, ...I hLI h -<br />

~4.1<br />

- -'.<br />

Let the field in the m-th layer be<br />

where

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