Lateral offsets for multimode fiber (MMF) connectors part 1 Al Brunsting & Rick Pimpinella Panduit Corporation 17301 Ridgeland Avenue Tinley Park, IL 60477 Voice: 708-532-1800/888-506-5400 Fax: 708-532-1811 www.panduit.com December 13, 2004 Panduit Corp. Slide 1 of 12 Background Simulations for connector lateral offsets are required to specify maximum connector insertion loss. A worst-case MMF lateral offset of 7.0m is currently being used. Based on a large comprehensive set of ferrule measurements and fiber specifications, we calculated connector lateral offsets using probability density functions (PDF). From this study it can be assumed that at least 95% of the lateral offsets in the field are less than or equal to 6.0m. December 13, 2004 Panduit Corp. Slide 2 of 12 Simulation theory Vectors for lateral offsets of a MMF connector (not to scale). ferrule OD y Center line of the fiber core, c3 fiber OD ferrule ID fiber core Center line of the fiber OD, c2 Center line of the ferrule ID, c1 y x fiber OD ferrule ID fiber core S2 S3 c2 x & y axes are located on the orthogonal center lines of the ferrule OD. S1 c1 & x y S3 S2 Fiber radius, r2 Ferrule inside radius, r1 December 13, 2004 c3 Panduit Corp. S S1 Slide 3 of 12 x Simulation theory (cont.) Resultant vector, S, is the sum of its 3 component vectors S = S1 + S2 + S3 S = simulated lateral offset for one of the two connectors in a MMF connection. Component offsets and connector rotations are accommodated in this simulation. x and y components of S: Sx = |S1| + |S2|cos2 + |S3|cos3 Sy = |S2|sin2 + |S3|sin3 From Slide 2 x-y coordinate system chosen so that 1 = 0. December 13, 2004 Panduit Corp. Slide 4 of 12 Simulation theory (cont.) 2 & 3 independently take on 6 values of 0, 60, 120, 180, 240, & 300. Mean and standard deviation (SD) for each of |S1|, |S2|, & |S3| come from Panduit measurements and MMF spec. (TIA/EIA492AAAA-A, January 1998, Table 1). There are 5 indep. variables (2, 3, |S1|, |S2|, & |S3|). For each simulation there are 6*6*5*5*5 = 4500 resultant vectors, (S). Each S will have a statistical wt. Distribution of S‘s & associated wts. give final lateral offset PDF for one connector. Multiply offsets by SQRT(2) to simulate two connectors (one connection). December 13, 2004 Panduit Corp. Slide 5 of 12 Simulation theory (cont.) SD for |S2| has 3 RMS components: 1. Measured ferrule ID SD. 2. Specified MMF cladding diameter OD. 3. Secondary effects: specified cladding non-circularity & alignment sleeve (est. from Panduit measurements). All taken to be 0.50m. Each magnitude (|S1|, |S2|, |S3|) has 5 values (Sa, Sb, Sc, Sd, Se) = (mean – 2*SD, mean – SD, mean, mean + SD, mean + 2*SD). Correspond. stat. wts. (wi) = (0.135, 0.607, 1.000, 0.607, 0.135). December 13, 2004 Panduit Corp. Slide 6 of 12 An example Consider Supplier 2 & 1 case of 4500 simulated cases: Angles: 2 = 120, 3 = 240 |S1| = 0.14m (mean – 2*SD), w1 = 0.135 |S2| = 0.59m (mean – 2*SD), w2 = 0.135 |S3| = 1.00m, w3 = 0.607 (mean + SD) Results: Total stat. Wt. = 0.135*0.135*0.607 = 0.011 From Slide 4: Sx = -0.655, Sy = -0.355, |S| = 0.745m. December 13, 2004 Panduit Corp. Slide 7 of 12 Values for |S1|, |S2|, & |S3| Sa Sb Sc Sd Se Supplier 1 |S1| |S2| 0.23 0.02 0.74 0.63 1.25 1.24 1.76 1.85 2.27 2.46 Supplier 2 |S1| |S2| 0.14 0.59 0.60 1.20 1.06 1.81 1.52 2.42 1.98 3.03 Supplier 3 |S1| |S2| 0.10 0.00 0.90 0.57 1.70 1.14 2.50 1.75 3.30 2.36 Supplier 4 |S1| |S2| 0.00 0.00 0.79 0.39 1.57 0.77 2.81 2.01 4.05 3.25 Note: (|S1|, |S2|, |S3|) depends on (ferrule only, ferrule & MMF, MMF only). Sa 0. Tolerances for MMF are assumed to be at 3*SD. Some measurements, dimensions, and tolerances must be divided by 2 to convert from diameter to radius. December 13, 2004 Panduit Corp. Slide 8 of 12 Panduit measurements. (Eccent., OD, ID) are (eccentricity, outside diameter, inside diameter)m N = no. of ferrules measured. The three middle columns give mean SD. 3050 ferrules were measured. Source Supplier 1 Supplier 2 Supplier 3 Supplier 4 Eccent. 0.72 0.38 0.53 0.43 0.23 0.12 1.02 0.60 December 13, 2004 OD 2498.81 0.34 2498.90 0.17 2498.53 0.44 2498.37 1.08 Panduit Corp. ID N 127.47 0.18 500 128.62 0.26 328 127.27 0.25 1225 126.54 0.42 997 Slide 9 of 12 Lateral offset PDF. Simulation giving the relative probability that the connection has a give lateral offset, |S|. 1.1 1.0 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 relative frequency PDF for |S|. Supplier 2. |S|, m Cumulative frequency is more useful for conclusions. December 13, 2004 Panduit Corp. Slide 10 of 12