... xd¯ y (A .3. 3) Therefore, aside from a constant phase shift term e2ikf , the output field is a Fourier Transform of the input field, hence the name of Fourier imaging in this case For the relay ... behind the lens (refer to the right picture of figure A .3) Therefore, the output field is obtained by first propagating the input beam over a distance f , 80 Figure A .3: Optical setup for (Left) ... multiplying the field with the lens quadratic phase factor, and then propagating it over another f distance Let us perform the explicit calculation sequentially The field at the plane just before the...