Changes between Version 20 and Version 21 of SpectraObject
- Timestamp:
- 01/13/15 15:08:50 (10 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
SpectraObject
v20 v21 134 134 And again, the grid will be wrapped around in both x and y. So a 10x10 transform will have components that correspond to the following points in k space. 135 135 136 [[Image(Screen Shot 2015-01-13 at 2. 44.52PM.png, width=400)]]136 [[Image(Screen Shot 2015-01-13 at 2.58.13 PM.png, width=400)]] 137 137 138 Now since the normalization of the wavenumber goes like [[latex($\frac{2\pi}{L}$)]], if the region is not a square/cube, the spacing of the points in fourierspace will not be uniform.138 Now since the normalization of the wavenumber goes like [[latex($\frac{2\pi}{L}$)]], if the region is not a square/cube, the spacing of the points in k space will not be uniform. 139 139 140 140 For example, if [[latex($L_y = L_x/2$)]] then [[latex($\Delta k_y = 2 \Delta k_x$)]] 141 141 142 So if our box is 10x5, and we use [[latex($\Delta k_x$)]] as our grid spacing142 So if our domain is 10x5, and we use [[latex($\Delta k_x$)]] to normalize our wave vectors, then we would have the following components. 143 143 144 145 [[Image(Screen Shot 2015-01-13 at 2.53.55 PM.png, width=400)]] 144 [[Image(Screen Shot 2015-01-13 at 2.57.25 PM.png, width=400)]]