I have the following rather simple problem and unfortunately I am not getting forward.
Imagine a simple 2D image with pixels and a unique value for each pixel of the image. For example, let the image be 512x512 pixels. The size of the image is given by 10 nm x 10 nm. Since I want to view the image in frequency space, I calculate the Fourier transform of the image.
Of course, the image still has 512x512 pixels, but what about the units? I would say the physical units are now 1/m, but what happens to the 10 nm?
My understanding is that 1 pixel in local space would be 10/512 nm for this example and thus 1 pixel would be 1/(10nm*512) in frequency space. Is this correct?