Talk:DWBA

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Revision as of 10:17, 5 April 2018 by KevinYager (talk | contribs) (Breaking into components)
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DWBA Equation in thin film

Using the notation for compactness, the DWBA equation inside a thin film can be written:

Expansion (incorrect)

WARNING: This incorrectly ignores the complex components.

Terms

If one expands the of the DWBA, one obtains 16 terms:

Equation

The equation can thus be expanded as:

Simplification

We can rearrange to:


We can rewrite in a more compact form using the notation and :

Expansion

Terms

If one expands the of the DWBA, one obtains 16 terms:




Equation

We take advantage of a more compact form using the notation and . The DWBA equation can thus be expanded as:

Simplification

We can rearrange to:

We define , and note that for any complex number , it is true that . Thus:

Breaking into components

The experimental data can be broken into contributions from the transmitted channel and reflected channel :

We define the ratio between the channels to be:

Such that one can compute the two components from:

and:


or: