A method for developing a virtual representation of an x-ray diffraction imaging system includes generating a symmetry axis, generating a conical shape having a base diameter, a vertex angle α, and a vertex point, locating the vertex point at an origin point on the symmetry axis, and extending a first line and a second line between the vertex point and the conical base such that the first line is separated an angle dφ from the second line in an azimuthal direction around the conical base.