$$1/p^{2}$$

Equation 7 · AI Hardware & Semiconductors

Chiplets and Advanced Packaging in 2035: Scenarios, Signals, and Falsifiable Predictions

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Because N itself grows as roughly 1/$p^{2}$ under the density relation above, $Y_{\mathrm{bond}}$ falls unless the per-interconnect defect probability $\pi$ improves at least as fast as the pitch shrinks — which is precisely the motivation behind Chen and Gupta’s YAP+ framework, a pad-layout-aware yield model for copper-copper hybrid bonding that accounts for misalignment, particle contamination, copper recess variation, surface roughness and pad density across arbitrary layouts, and reports a near-analytical model matching full physical-simulation accuracy at more than a thousand-fold speed-up in runtime [ 11 ] . A fast, accurate yield model of this kind is itself a signal about where the field…

Meanings in this article

• $p^{2}$: the square of p; the pitch.

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