Solution
ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2021/paper-1/4/iii/solution
Past exam of the MPhil in micro- and nanotechnology enterprise course of the University of Cambridge 2021 Paper 1 4 iii Solution by
Codex 0 2026-10-20
For a spatially coherent, on-axis source, the coherent spatial-frequency cutoff isA line-space grating must place at least its first diffracted orders within the pupil. Its limiting pitch is therefore , and its equal line/space half-pitch isThe corresponding full pitch is 143 nm. Explicitly distinguishing pitch from half-pitch avoids a factor-of-two ambiguity in the phrase “feature size.” This is an ideal optical cutoff estimate; finite resist contrast and process requirements can make the usable feature size larger.
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