The performance of an Optical Circuit Switch (OCS) is fundamentally limited by the settling time of its MEMS mirrors. Each mirror in a 2D MEMS array is a polysilicon plate suspended on torsional springs, actuated by electrostatic comb drives. When a reconfiguration command is issued, the mirror must pivot from its current angle to a new angle with sub-micron precision. The settling behavior follows a second-order damped harmonic oscillator model characterized by the natural frequency ωn and damping ratio ζ.
For a typical MEMS mirror with a resonant frequency of 2 kHz in vacuum (the mirrors operate in a hermetically sealed cavity at 1 Torr to reduce air damping), the natural frequency is approximately 12,566 rad/s. The damping ratio is designed to be critically damped (ζ = 0.7-1.0) using squeeze-film damping between the mirror plate and the fixed electrodes. In the critically damped regime, the settling time to within 1% of the final angle is ts = 4.6 / ζωn. For ζ = 0.85 and ωn = 12,566 rad/s, the theoretical settling time is 430 μs. However, measurement shows actual settling requires 2-3 ms due to two parasitic effects: charging hysteresis in the dielectric layers and thermo-mechanical drift from localized heating during actuation.
To compensate, the OCS controller employs a closed-loop feedback system using capacitive sensing. Each mirror has integrated sense electrodes that measure the actual deflection angle with 0.02° resolution at 100 kHz sampling rate. The controller applies an overshoot-compensation waveform — a short voltage pulse above the target voltage followed by a settling to the steady-state level. This "bang-bang" control reduces settling time from 3 ms to 450 μs for small-angle reconfigurations (under 5°). The OCS firmware maintains a calibration table of 128 × 128 pre-computed drive voltages for each mirror-to-port mapping. This table is updated during periodic recalibration cycles every 10 minutes, where the switch sweeps each mirror through its full range and measures the optical power at each destination fiber. Any deviation beyond 0.5 dB triggers a correction to the drive voltage table.
The total reconfiguration latency — from the SDN controller issuing a topology change command to the last mirror settling within tolerance — is 8-12 ms in production 2026 OCS systems. This includes 2 ms for the command to propagate through the control plane, 3 ms for the MEMS actuation, 1 ms for the closed-loop settling verification, and 2 ms for the optical power monitors on the receivers to confirm link establishment. This 10 ms window is acceptable for job-level topology reconfiguration (which occurs every 2-4 hours in a training cluster) but is three orders of magnitude too slow for per-packet switching.