Changes between Version 20 and Version 21 of SpectraObject


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Timestamp:
01/13/15 15:08:50 (10 years ago)
Author:
Jonathan
Comment:

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  • SpectraObject

    v20 v21  
    134134And 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.
    135135
    136 [[Image(Screen Shot 2015-01-13 at 2.44.52 PM.png, width=400)]]
     136[[Image(Screen Shot 2015-01-13 at 2.58.13 PM.png, width=400)]]
    137137
    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 fourier space will not be uniform. 
     138Now 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. 
    139139
    140140For example, if [[latex($L_y = L_x/2$)]] then [[latex($\Delta k_y = 2 \Delta k_x$)]]
    141141
    142 So if our box is 10x5, and we use [[latex($\Delta k_x$)]] as our grid spacing
     142So if our domain is 10x5, and we use [[latex($\Delta k_x$)]] to normalize our wave vectors, then we would have the following components.
    143143
    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)]]