I need to work out the shape of a diffraction pattern from 6 "small" circular apertures arranged in a hexagonal shape with side length a. I have not been given the radius of the circles. All I know is that one circular aperture gives a diffraction amplitude proportional to the first order Bessel function (but we haven't studied these, so I don't really know what that is) and inversely proportional to the radius in the Fraunhofer domain.
My approach this far has been to model the pattern as the convolution of six delta functions and the function for the single aperture. I am however not getting anything useful just some very messy integrals.
So is there anybody here who knows how to solve this problem? What will the pattern look like? Many thanks! :)