Near field to far field transform example
We will use cubic volume with Liao absorbing boundary condition and point wave source. Outputs will be cross-sections to a Gwyddion file and a point output. At the same point the field value will be calculated using Near Field to Far Field transformation.
What can be tested:
Setup all this with XSvit
Start the XSvit application and setup the computational volume in this way:
We refer to basic appplication use example for details how to adjust all these settings
At this moment we can add the NFFF integration area and NFFF output point. Near-Field to Far field transorm is typically used to calculated the field values outside of the computational volume, so we can extend our results to distance that could be never calculated by FDTD. However it is valid also inside the computational volume, so we can directly compare FDTD output to values calculated by basic Yee algorithm. Therefore we will start with adding NFFF output point at position 60,70,80 (same position where we have the regular point output) using menu item Edit parameters->Add NFFF point:
After adding the far field point new block of entries appears in the list of parameters and also the far field point can be shown in 3D view by a line pointing from center of computational volume to that point. We still need to adjust parameters of the NFFF integration domain, namely its integration boundary, that should enclose all the sources and scatterers, but not enclose the output points. Here we have chosen volume defined by top/left/front corner 30,30,30 and bottom/right/back corner 70,70,70. This parameter is set by clicking on "NFFF box" entry above the newly added far field point entry:
After all this we can see all the output points, source and NFFF box in the 3D view:
Then we can save the file and run the computation. We can see the point output values directly on the graph, however to compare the direct and the far field output it is easier to use an external application, here Gnuplot:
We can play with integration boundary settings to get the best match, generally it should be enclosing the sources and scatterers tight to get better results, however there are certainly some limits when too small integration boundary will lead to some numerical errors (as the number of integration points will be too small).
(c) Petr Klapetek, 2013