Changes between Version 3 and Version 4 of u/erica/OutflowFeedback
- Timestamp:
- 10/09/15 15:37:08 (9 years ago)
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u/erica/OutflowFeedback
v3 v4 25 25 However, in the code - it looks like both are chosen randomly, and then the real part of the transform is taken. I have to think about the implications of this... 26 26 27 [[latex($\vec{a}(x,y,z) = \mbox{REAL} \left ( \sum_{k}{ A_{\vec{k}}e^{i(\vec{k} \cdot \vec{x})}} \right )$)]]27 [[latex($\vec{a}(x,y,z) = \mbox{REAL} \left ( \sum_{k}{\vec{A}_{\vec{k}}e^{i(\vec{k} \cdot \vec{x})}} \right )$)]] 28 28 29 29 30 [[latex($\vec{a}(x,y,z) = \sum_{k}{ \mbox{REAL} \left ( \vec{A}_{\vec{k}}e^{i(\vec{k} \cdot \vec{x})} \right ) }$)]] 30 31 31 32 33 [[latex($a^j(x,y,z) = \sum_{k}{ |A^j{\vec{k}}|\cos{(\vec{k} \cdot \vec{x}+\theta^j_{\vec{k}})} }$)]] 32 34 35 where $A^j_{\vec{k}} = |A^j_{\vec{k}}| e^{-i \theta^j_{\vec{k}}}$ 33 36 37 Now when we combine the $\pm \vec{k}$ terms, we get 34 38 39 $|A^j_{\vec{k}}| e^{-i \theta^j_{\vec{k}}} + |A^j_{\vec{-k}}| e^{-i \theta^j_{\vec{-k}}}$
