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Simulation Theory for MMF Connector Lateral Offsets

Explore the probability density functions for multimode fiber (MMF) connector lateral offsets in Panduit Corporation's simulations.

davidbryant
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Simulation Theory for MMF Connector Lateral Offsets

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  1. 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 Panduit Corp.

  2. Background Simulations for connector lateral offsets are required to specify maximum connector insertion loss. A worst-case MMF lateral offset of 7.0m 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 6.0m. Panduit Corp.

  3. Simulation theory Vectors for lateral offsets of a MMF connector (not to scale). Panduit Corp.

  4. 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|cos2 + |S3|cos3 Sy = |S2|sin2 + |S3|sin3 From Slide 2 x-y coordinate system chosen so that 1 = 0. Panduit Corp.

  5. 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/EIA-492AAAA-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). Panduit Corp.

  6. Simulation theory (cont.) • SD for |S2| has 3 RMS components: • Measured ferrule ID SD. • Specified MMF cladding diameter OD. • Secondary effects: specified cladding non-circularity & alignment sleeve (est. from Panduit measurements). All taken to be 0.50mm. 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). Panduit Corp.

  7. An example Consider Supplier 2 & 1 case of 4500 simulated cases: Angles: 2 = 120, 3 = 240 |S1| = 0.14m (mean – 2*SD), w1 = 0.135 |S2| = 0.59m (mean – 2*SD), w2 = 0.135 |S3| = 1.00m, 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| = 0.745m. Panduit Corp.

  8. Values for |S1|, |S2|, & |S3| 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. Panduit Corp.

  9. 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. Panduit Corp.

  10. Lateral offset PDF. Simulation giving the relative probability that the connection has a give lateral offset, |S|. Cumulative frequency is more useful for conclusions. Panduit Corp.

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