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only 4 circuits per carrier and 60-second
                                                                              wafer + tooling exchange time on a
                                                                              single-wafer table system up to a 93%
                                                                              advantage when there are 1,024 circuits
                                                                              on a carrier and an exchange time of only
                                                                              15 seconds.
                                                                                Impact of the number of die types
                                                                              and counts per circuit. The impact of
                                                                              the number of unique die types per circuit
                                                                              and the quantity of each die type on the
                                                                              relative throughput of each solution type
                                                                              was also analyzed. This analysis was
                                                                              done for a fixed number of 28 circuits per
                                                                              carrier and a 30-second wafer + tooling
                                                                              exchange time.
                                                                                As shown in Table 2, a dual-table
                                                                              system, on average, doubles the relative
                                                                              throughput of a single cell per circuit
                                                                              solution. Generally, the placement speed
                                                                              doubles, and the time spent exchanging
                                                                              wafers + tooling is cut in half, resulting in
                                                                              this improvement. The single- and dual-
                                                                              table single system per circuit solutions
                                                                              exhibit a 60% to 90% improvement in
                                                                              throughput in this example. Secondly, the
        Figure 4: Single system vs. a multiple dedicated system line.
                                                                              overall variation from 2 to 4 to 8 unique
        multiple systems, impacting placement   model  was  created  to  allow  for  a   device types has much less impact than
        accuracy. Finally, moving substrates   comprehensive sensitivity analysis. As   the number of circuits per carrier noted
        between 8 dedicated systems in a line   mentioned, the most critical factors are   in Table 1. Finally, the relative quantity
        increases placement, fiducial find, and   the time it takes to automatically change   of each unique die type has a more
        potentially, temperature variability,   wafers and change associated end effector   significant impact than the number of
        further degrading placement accuracy.   tooling to support a new die type, the   unique die types, mainly due to a greater
        Based on typical system variability   number of circuits to be assembled per   impact on the total number of dies on the
        data, it is estimated that all these   carrier, and the number of unique die   circuit (Figure 5).
        factors  will  increase  the defective   types to be assembled per circuit.
        placement ppm per device from a      The sections below discuss the impacts   Economic model summary
        typical value of 100ppm to 400ppm for   that a number of parameters have on HI   An economic model was created to
        a 4-die HI device.                 assembly economics.                assess the economic impacts of yield,
          The third challenge is that increased   Impact of circuits per carrier and   depreciation per circuit, OPEX, and
        operator attention will be required per   wafer and tooling change time. Table   utilization. Pricing for a single-wafer
        line with up to 8 machines in a line,   2 summarizes the relative throughput of   table single system per circuit solution
        as will increased floor space. This will   assembled circuits for a single system per   was arbitrarily set to $1mil. The price per
        increase the overall operational expense   circuit solution vs. a single die per system   machine for the single dedicated system
        (OPEX) cost for the line proportional to   solution. The comparison is made for a   per die type solution was set at $500k.
        the number of systems in the line.  single-system solution configured with   A key observation from the economic
          The fourth challenge is utilization.   a single-wafer table and a single-system   model is that, while depreciation cost per
        Creating a dedicated lines per circuit   solution configured with dual-wafer   assembled circuit is the typical factor used
        configuration versus a single cell that   tables. The time to exchange unique   for solution comparison, the assembly yield
        can handle any circuit will reduce   wafers and end effector tooling for unique   has a much more significant impact on the
        typical utilization. In addition, material   die types was varied from 15 seconds   overall manufacturing cost (Table 3).
        scheduling and downtime typically   to 60 seconds. For this example, it was   For the single-bay single system per
        reduce a single-system solution to 85%   assumed the circuit had four unique die   circuit solution, the depreciation cost is
        utilization. With a 4-system solution,   types, with the quantity of die per die   only 30.7% of the total assembly cost.
        these multi-system factors are expected to   type of 8, 4, 2, and 1, respectively.  Two other factors heavily influence
        reduce utilization further to, at best, 60%.  Table 2 shows that over the full range   total assembly cost: total scrap per unit
                                           of scenarios for circuits per carrier and   produced and operator cost. Operator cost
        Throughput sensitivity analysis    wafer + tooling exchange time, a single   is assumed to be directly proportional
          To better understand the overall impact   system per circuit solution delivers   to the number of systems. Based on
        of the parameters noted above on  HI   superior throughput. This advantage   an estimated increase in defective
        assembly economics, a mathematical   ranges from 12% in the corner case of   placements from 100ppm to 400ppm for


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