Method of locating individual optical fibers embedded in a label medium. Figure 15 of US Patent No. 7,878,398 [2]
Of course, not all of the optical fibers begin in one half of the label and terminate in the other. Some begin and terminate in one half or the other, but the scanning method selects just the subset of fibers that have one end in one half, and the other end in the other half.
Once you have the raw spatial data, it's easy, as they say, for "one skilled in the art," to generate any number of unique codes from the data. It's important that the codes are robust against the accidental breakage of some fibers during normal handling so there aren't too many false negatives. The patent throws a little math at the problem to illustrate one method.[2]
At the start of this article, I mentioned how the paper manufacture process causes a preferential orientation of fibers in one direction. This happens not just for paper, but for many materials. Metal sheets have different properties in the "rolled" and "transverse" directions, a property that's generally called texture.
![]() | Papermaking before mechanization. This type of paper would have the cellulose fibers distributed randomly, whereas fibers in machine-made papers have a preferred direction. Artisans still make paper by hand, today. [3] (Via Wikimedia Commons). |