Series

Port — the series

2 essays on one idea, from the one that introduces it to the one that assumes the rest.
  1. 00.50011.50205101520the dome's centre, off the entrance pupil (mm)worst departure from the pinhole it would be in air (degrees)centred: exactly zero6 mm → 0.635°a 100 mm dome in acrylic, n = 1.4910.106° per mm of centring error

    The port that is not there

    A flat window into water costs a lens a third of its field. A sphere centred on the entrance pupil costs nothing at all — not nearly nothing, exactly nothing — and six millimetres off centre costs 0.635°.

    part 3 · refraction
  2. 00.2000.4000.6000.800204060how far off the axis the ray leaves the pinhole (°)how far the dome bends it (°)10 cm dome20 cm domeboth at offset/radius = 0.060identical to 1e-16°

    The dome knows its offset in units of itself

    A dome port centred on the entrance pupil bends nothing at all, exactly. One that is not bends rays by an amount that depends on the decentring over the radius and on nothing else, so a ten-centimetre dome six millimetres off centre and a twenty-centimetre dome twelve millimetres off centre are the same instrument, bit for bit. The picture carries the ratio, which means it never carries the radius.

    part 4 · refraction

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