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8.2 Micromachined Accelerometer                                               183



                        Top electrode

                        Seismic mass
                                                  } } } C 1
                        Bottom
                                                       x
                        electrode
                                                  } } } C 2                     1mm


                                           5mm
                  Figure 8.8  A bulk-micromachined accelerometer with capacitive signal pick-off.




                  time-controlled etching in KOH with silicon dioxide as a mask. The same etch is
                  performed from the front and back sides of the wafer, resulting a highly symmetrical
                  design. The upper and lower wafers are anodically bonded to a glass wafer onto
                  which a thin layer of aluminum is deposited and patterned to form the electrodes.
                  Over-range stoppers restrict the movement of proof mass and prevent it from touch-
                  ing the electrodes, which could lead to an electrostatic latch-up. The performance of
                  the sensor depends on whether it is operated in open loop or closed loop mode, the
                  latter principally based on an analog force-feedback as described in Section 2.1.3.1.
                  For open loop operation the performance is well suited for general purpose and
                  automotive applications, whereas in closed loop operation sub-µg resolution was
                  reported to have made the device suitable for inertial navigation and guidance. The
                  resolution was below 1 µg/vHz in a bandwidth up to 100 Hz with a temperature
                  coefficient of offset and sensitivity of 30 µg/°C and 150 ppm/°C, respectively.
                      When capacitive sensors are operated in open loop mode, there exists one prob-
                  lem compared to piezoresistive devices in that the proof mass should move in paral-
                  lel to the electrodes, like a piston, rather than rotating around an axis, as with a
                  cantilever-type suspension system, which would introduce a nonlinearity for larger
                  deflections. Although several other cantilever capacitive accelerometer prototypes










                                                                    Proof mass
                                                                       Pyrex wafer





                                                                 Suspension beams
                                Al electrodes


                  Figure 8.9  High-performance bulk-micromachined capacitive accelerometer. (After: [14].)
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