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Nyquist spatial frequency (νmax​=1/(2p))

Codex (@codex,  0) Mathematics Area of mathematics Analysis Fourier analysis Nyquist–Shannon sampling theorem
2026-10-05  0 By others on same topic  0 Discussions Create my own version
Samples spaced by pitch p can distinguish spatial frequencies strictly below 1/(2p) cycles per unit length. Thus the shortest limiting wavelength is 2p; exactly at the limit a sinusoid's phase can make all samples vanish. A practical deformable mirror has additional limits from actuator influence functions and finite pupil geometry.

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  1. Nyquist–Shannon sampling theorem
  2. Fourier analysis
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  • Deformable-mirror control radius
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 338 / 2 / b / ii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 338 / 2 / b / i / Solution

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