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254                                      Packaging and Reliability Considerations for MEMS

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                 density limitation (typically <100 kA/cm ), and localized resistive heating in the wir-
                 ing. Metal patterns over rising topographical features are particularly susceptible to
                 failure because of the potentially thin metal at the corners. Failure of electrical wir-
                 ing is not limited to on-chip metal traces. Wire bonds are also subject to failure if
                 they are not matched to the current requirements of the device. Additionally, wire
                 bonds can fail under mechanical shock and vibration because they are often made of
                 gold (a dense material) and have long lengths exceeding many millimeters.
                    Thermal failures occur when there is an excessive temperature rise due to local-
                 ized heating (e.g., from a high electrical resistance or an accidental current surge) or
                 when there is poor conduction of heat generated within the device (e.g., in thermal
                 actuators that can dissipate several watts). In all cases, proper thermal management
                 at the die and package level is important to mitigate the risk of thermal failures.


                 A Reliability Case Study: The DMD
                 The DMD, described in detail in Chapter 5, is an excellent example of a complex
                 microsystem that merges electronic, mechanical, optical, and chemical attributes,
                 thus making its reliability a highly interactive relationship between many diverse
                 operational factors and environmental parameters. The historical evolution of the
                 DMD and its reliability over nearly two decades highlights the depth and breadth of
                 the development effort that has yielded this commercial success.
                    Early in the 1990s, the lifetime of the DMD was only 100 hours at 65ºC,
                 whereas the target application (primarily printing) required a minimum of 5,000
                 hours. Some parts worked well, but others did not. The design was marginal, and
                 the fabrication processes were not under control. The origins of the failures were
                 largely unknown, which made improving the reliability a daunting task. Texas
                 Instruments undertook a program of extensive testing, characterization, and analy-
                 sis of the failure modes that gradually increased the understanding of the underlying
                 physics and resulted in new designs that were more robust and reliable.
                    With the novelty of the DMD design and the emerging nature of the MEMS
                 industry, Texas Instruments had to develop many specialized tests and build the
                 corresponding equipment in house. These tests varied many operational parameters,
                 including temperature, voltage and timing waveform, the number of mirror land-
                 ings, mirror duty cycle, and light intensity. It then sought to identify statistical
                 relationships that would lead to the location of design parameters that yielded a
                 more reliable performance. They also performed a number of environmental tests,
                 many similar to those defined under the Telcordia and MIL standards, to verify the
                 product’s environmental robustness (see Table 8.9).
                    One important characterization test is the bias/adhesion mirror mapping
                 (BAMM) [41]. It involved the statistical analysis of the number of mirrors that
                 land with increasing applied bias while holding the other operational parameters
                 constant. The result is a distribution curve for mirror landing whose tightness (i.e.,
                 spread in voltage) is a measure of process variability that led the engineers to further
                 optimization of the hinge design and voltage drive waveform. The BAMM test also
                 uncovered another weakness: the bias voltage at landing decreased from 16V to
                 about 14V after 2,000 hours of operation. The finding and the data became use-
                 ful in implementing additional improvements and developing models for lifetime
                 prediction [42].
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