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                    MEMS Packaging for Space Applications                           277


                    amplifiers, other large signal circuits, and highly integrated packages can place
                    severe design constraints on the package design. The junction temperature (T j )of an
                    isolated device can be determined by

                                               T j ¼ QR þ T case                  (12:2)

                    where
                      Q (W) is the heat dissipated by the junction and is dependent on the output power
                        of the device and its efficiency,
                      R (8C/W) is the thermal resistance between the junction and the case, and
                      T case (8C) is the temperature of the case.

                    Normally, the package designer has no control over Q and the case temperature,
                    and therefore, it is the thermal resistance of the package that must be minimized.
                    Figure 12.3 is a schematic representation of the thermal circuit for a typical
                    package, where it is assumed that the package base is in contact with a heat sink
                    or case.
                       It is seen that there are three thermal resistances that must be minimized: the
                    resistance through the package substrate, the resistance through the die-attach
                    material, and the resistance through the carrier or package base. Furthermore, the
                    thermal resistance of each is dependent on the thermal conductance and the
                    thickness of the material. A package base made of metal or metal composites has
                    very low thermal resistance and therefore does not add substantially to the total
                    resistance. When electrically insulating materials are used for bases, metal-filled via
                    holes are routinely used, under the MEMS, to provide a thermal path to the heat
                    sink. Although thermal resistance is a consideration in the choice of the die-attach
                    material, adhesion and bond strength are even more important. To minimize the
                    thermal resistance through the die-attach material, the material must be thin, there
                    can be no voids, and the two surfaces to be bonded should be smooth.







                                                                  Q

                                         MMIC                          R-MMIC

                                      Package base                     R-die attach

                                     Heat sink or case
                                                                       R-package

                    FIGURE 12.3 Cross section of MMIC attached to a package and its equivalent thermal
                    circuit.




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