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Qualification of the Assembly Process of Flip-Chip BGA Packages ...

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Texas Tech University, Nivetha Shivan, May 2012<br />

Figure 4.2: Warpage Measurement Setup [13]<br />

In this diagram, z is <strong>the</strong> distance between <strong>the</strong> package and <strong>the</strong> grated glass plate, p is <strong>the</strong><br />

spacing between <strong>the</strong> grating lines, N is <strong>the</strong> fringe order which is <strong>the</strong> number <strong>of</strong> grating<br />

lines between points A and B, � is <strong>the</strong> illumination angle and � is <strong>the</strong> observation<br />

angle. We are interested in measuring <strong>the</strong> z (warpage), <strong>the</strong> distance between <strong>the</strong> grated<br />

plate and <strong>the</strong> package at <strong>the</strong> four corners and also at <strong>the</strong> center. Then, <strong>the</strong> average <strong>of</strong> <strong>the</strong><br />

distance from <strong>the</strong> four corners are taken and subtracted from <strong>the</strong> distance from <strong>the</strong><br />

package center.<br />

The sign <strong>of</strong> <strong>the</strong> convex warpage is defined as plus (+) while <strong>the</strong> sign <strong>of</strong> <strong>the</strong> concave<br />

warpage is defined as negative (-) as shown in Figure 4.3. This sign convention holds<br />

good for <strong>the</strong> top surface <strong>of</strong> <strong>the</strong> package (die side). There is no distinctive difference<br />

between <strong>the</strong> moiré patterns produced by <strong>the</strong> packages with convex warpage and that<br />

produced by <strong>the</strong> packages with concave warpage.<br />

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