Figure 4.

(a) Sketch of an arbitrarily defined fiber bundle consisting of seven filaments arranged in a hexagonal lattice. The angle ϑ and the azimuthal angle χ describe the orientation of the fiber bundle. Together with the bundle rotation angle ψ, which is defined in the bundles coordinate system, they determine the far-field diffraction pattern of a given set of filaments. The filaments are defined by their position R_j and have an individual angle φ, defined in the filaments’ coordinate system. (b) Simulated diffraction patterns calculated from seven rods. The rods are aligned in a hexagonal lattice. We show six different configurations of the angles ψ, ϑ, and χ, the angle φ does not influence the result due to the rotational symmetry of the single rods. For small ϑ, here ϑ = 7.2°, the hexagonal rod lattice leads to side maxima whereas the far-field intensity distribution appears streak like for all others ϑ∈[27°–90°]. It is easy to see, that the orientation of the far-field intensity distributions can be interpreted directly with regard of the fiber orientation χ. To see this figure in color, go online.