Difference between revisions of "Talk:DWBA"

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(Terms)
(Equation)
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===Equation===
 
===Equation===
The equation can thus be written as:
+
The equation can thus be expanded as:
  
 
<math>
 
<math>
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     & \begin{align}
 
     & \begin{align}
 
         = \,\, &  T_i^2 T_f^2 | F(+Q_{z1}) |^2 && + T_i^2 T_f R_f F(+Q_{z1})F(-Q_{z2}) \\
 
         = \,\, &  T_i^2 T_f^2 | F(+Q_{z1}) |^2 && + T_i^2 T_f R_f F(+Q_{z1})F(-Q_{z2}) \\
           & && + T_i R_i T_f R_f F(+Q_{z1})F(+Q_{z2}) + T_i R_i T_f R_f F(+Q_{z1}) F(-Q_{z1})  \\
+
           & && + T_i R_i T_f^2 F(+Q_{z1})F(-Q_{z2}) + T_i R_i T_f R_f F(+Q_{z1}) F(-Q_{z1})  \\
  
 
           & + T_i^2 R_f^2 | F(-Q_{z2}) |^2 && + T_i^2T_fR_f F(+Q_{z1}) F(-Q_{z2}) \\
 
           & + T_i^2 R_f^2 | F(-Q_{z2}) |^2 && + T_i^2T_fR_f F(+Q_{z1}) F(-Q_{z2}) \\
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\end{align}
 
\end{align}
 
</math>
 
</math>
 +
 
===Simplification===
 
===Simplification===
 
We can rearrange to:
 
We can rearrange to:

Revision as of 18:27, 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: