Changes between Version 12 and Version 13 of SpectraObject

Timestamp:

01/07/15 00:30:53 (10 years ago)

Author:

Jonathan

Comment:

—

SpectraObject

@@ -122 +122 @@
 The imaginary parts are different - but only in sign!
 
+We can see how this happens if we compare [[latex($F_l$)]] and [[latex($F_{N_x+2-l}$)]]
+
+[[latex($F_{N_x+2-l}=\displaystyle \sum_{l'=1}^{N_x} e^{  \frac{2 \pi i}{N_x} (N_x+2-l-1) (l'-1)} f_{l'}=\displaystyle \sum_{l'=1}^{N_x} e^{  \frac{2 \pi i}{N_x} ((-(l-1)) (l'-1)} f_{l'}=F_l^*$)]]
+
+but [[latex($F_{N_x+2-l}=\displaystyle \sum_{l'=1}^{N_x} e^{  \frac{2 \pi i}{N_x} ((-(l-1)) (l'-1)} f_{l'}$)]] 
+
+corresponds to [[latex($F(-k_x)= \frac{N_x}{L}\displaystyle \int_{x=0}^{L} e^{i-k_x x} f(x) dx$)]]