Difference between revisions of "Talk:DWBA"

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(Simplification)
(Simplification)
Line 87: Line 87:
  
  
 +
= \,\, & T_i^2 T_f^2 | F(+Q_{z1}) |^2 + T_i^2 R_f^2 | F(-Q_{z2}) |^2 + R_i^2 T_f^2 | F(+Q_{z2}) |^2 + R_i^2 R_f^2 | F(-Q_{z1}) |^2 \\
 +
        & + 2 \times T_i^2T_fR_f F(+Q_{z1})F(-Q_{z2})
 +
          + 2 \times T_iR_iT_f^2 F(+Q_{z1})F(-Q_{z2}) \\
 +
        & + 2 \times T_i R_i T_f R_f [ F(+Q_{z1})F(-Q_{z1}) + F(+Q_{z2})F(-Q_{z2}) ]  \\
 +
        & + 2 \times T_iR_iR_f^2 F(-Q_{z1})F(-Q_{z2})
 +
          + 2 \times R_i^2T_fR_fx F(-Q_{z1})F(+Q_{z2}) \\
  
  
 
\end{align}
 
\end{align}
 
</math>
 
</math>

Revision as of 18:48, 6 March 2018

DWBA Equation in thin film

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

Expansion

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: