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OPTICS

Airy Disk and Sensor Sampling Calculator

Compare ideal circular-aperture diffraction diameter, pixel pitch and incoherent optical cutoff.

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Calculation steps

Work through one step at a time or reveal the complete calculation. The steps use your current inputs.

    How to calculate

    Use the first-dark-ring Airy diameter approximation for an ideal circular pupil, then compare physical diameter and frequency limits with sensor sampling.

    Airy diameter≈2.44λN; incoherent cutoff=1/(λN); sensor Nyquist=1/(2×pixel pitch)

    Worked example

    At wavelength 550 nm and working f/8, the Airy diameter is 10.736 µm. At 4 µm pixel pitch this is 2.684 pixel pitches.

    Assumptions and input details

    Ideal unobstructed circular pupil, monochromatic light, image space in air and paraxial working f-number. The factor 2.44 is rounded. Optical cutoff refers to incoherent imaging; coherent imaging differs. No aberration, demosaicing, sharpening, aliasing or perceptual resolution model. Enter working aperture for finite-conjugate macro imaging.

    References: Edmund Optics: Airy disk diameter and limits

    Unit definitions

    Unit selection is independent of language. Each selector contains only units for its physical quantity. Calculations use defined base units internally.

    Choose from 23 length definitions, including explicitly labelled regional measures. Area conversions square the length factor; geometric volumes cube it.

    Regional measures are not interchangeable merely because their names look similar. This is a documented selection, not a claim to include every historical unit.

    NIST measurement tables · Japanese traditional units · Mainland China and Hong Kong unit distinctions

    Using this calculator

    Can I enter my own problem?

    Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.

    Are the results exact?

    Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.

    Is my input uploaded?

    The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.

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