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Quality Control, Reliability, and Failure Analysis                            255

            Table 8.9  A Summary of the Environmental Tests Performed in Assessing the Reliability of the DMD
            Environmental Test    Details                                    Duration
            Storage life (cold/hot)  −55°C to +100°C, no applied power       1,000 hours
            Temperature cycling   –55°C to +125°C, air to air, fine/gross leaks  1,000 cycles
            Thermal shock         –55°C to +125°C, liquid to liquid          200 cycles
            Unbiased humidity     +85°C/85% RH, no applied power             1,000 cycles
            Electrostatic discharge  Human body model, 1 positive, 1 negative at 2,000V
            Latch up              25°C, ±300 mA
            Ultraviolet light sensitivity  25°C, ultraviolet exposure        1,000 hours
            Sequence 1            1,500G mechanical shock, Y direction only
                                  Vibration, 20G from 20 to 2,000 Hz
                                  Constant acceleration, 10,000G, Y only
            Sequence 2            Thermal shock, –55°C to +125°C             15 cycles
                                  Temperature cycling, –55°C to +125°C       100 cycles
                                  Moisture resistance                        10 days
            (Source: [41].)




                      Another valuable test and characterization method is the solution space tech-
                  nique [41]. In this case, many parameters were controllably varied and plotted in
                  two or more dimensions with the intent of visualizing interrelationships between the
                  variables. An acceptable solution space is one where overall mirror performance is
                  satisfactory under all combinations of operating conditions. The test is performed
                  before and after accelerated aging to gauge the robustness of the solution space and
                  to identify the parameters that were most sensitive to aging. This method also
                  yielded improved hinge designs and electrical drive waveform.
                      More than two thirds of all failures that affect the DMD micromirror are traced
                  to a particle defect [42], either on the surface of the mirror or underneath it. A parti-
                  cle on the surface affects the rotation dynamics and optical properties of the mirror.
                  A particle below it may prevent mirror movement or cause an electrical short. Parti-
                  cle defects during lithography and etching can damage the hinge. Particle reduction
                  is an important aspect of process control, and, much as in the integrated circuit
                  industry, it greatly impacts yield. The remaining failures are attributed to hinge and
                  mirror mechanics, including hinge fatigue and memory and stiction to the landing
                  electrode.
                      The hinge is a thin layer (~ 75 nm) of an aluminum alloy (98.8% Al, 1% Si,
                  0.2% Ti) [43]. To assess its sensitivity to fatigue, Texas Instruments performed
                  accelerated testing by switching the mirrors more rapidly than normal (once every
                  20 µs). Tests over nearly five million mirrors on nine different DMD dice have accu-
                  mulated more than 3 × 10  12  cycles per mirror without any evidence of fatigue.
                  Naturally, Texas Instruments has been successful in maintaining tight process con-
                  trol over the deposition step and alloy material to result in such consistency in the
                  reliability. Tests, however, demonstrated that hinge memory is a more serious reli-
                  ability hazard. When a mirror is operated in the same direction for a long period of
                  time, it exhibits a residual tilt in that direction when all bias voltages are removed,
                  due to a permanent deformation in the hinge. This effect is known as hinge memory.
                  When the residual tilt exceeds 3.5º (the full tilt angle of the mirror under operation
                  is 10º), it creates an imbalance in the separation gaps under the mirror, and the elec-
                  trostatic force on the side with the large gap becomes insufficient to overcome the
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