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Telescopes & instruments · SNR = √N

Photon Shot-Noise SNR

The best signal-to-noise achievable when the only noise is the Poisson statistics of the photons themselves — the shot-noise limit. To double the signal-to-noise you must collect four times as many photons.

Signal-to-noise ratio100

Formula: SNR = √N

Worked example

With the default inputs, photon shot-noise snr evaluates to 100 — 10,000 photons → SNR 100. The validator recomputes this against the known value on every build, so the formula is checked, not asserted.

Highlights

  • Quadruple photons to double SNR

Knowledge connections

Sources

The primary and reference sources this topic draws on.

  • NASANational Aeronautics and Space Administration

    Mission data, planetary science, space telescopes, and public-domain imagery.

    Most NASA-produced imagery is in the public domain; individual items are checked for usage terms before publication.