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Stage 3 of 7 · The room3 of 10 in this stage5 min read

Estimating beams and blends

Two things get guessed on site that are cheap to work out beforehand: how big a beam will be when it lands, and whether two projectors can be made to look like one picture.

First, read the data sheet properly

Beam angle is not field angle

A fixture does not project a hard-edged cone; intensity falls off from the centre outwards. So "how wide is the beam" needs a definition of where the beam stops, and the industry uses two.

Beam angle is measured where intensity has fallen to 50% of the centre. Field angle is where it has fallen to 10%. Field angle is always the larger number — usually a good deal larger — and it is closer to what your eye reads as the edge of the light.

This is why comparing two fixtures on a single quoted figure is a trap. A data sheet quoting only "beam" makes the fixture sound tighter than it looks in a room; one quoting only "field" makes it sound wider than its useful centre.

rule
Diameter = 2 × throw × tan(angle ÷ 2). Same formula for either angle — what changes is which definition of "edge" you fed it.

Sizing it before it is rigged

How to estimate a beam on paper

The calculation needs two numbers you already have: the throw distance from the fixture to the surface, and the angle from the data sheet. Everything else is one line of trigonometry — the beam is an isosceles triangle, and you are solving for its base.

For a fixture at an angle rather than square-on, the beam lands as an ellipse rather than a circle and gets larger; the figure above is the square-on case, which is the useful planning number and slightly conservative for anything raked.

Video

What a projection blend actually assumes

Edge blending overlaps two projected images and ramps each one down across the overlap, so the two add up to a single even brightness. The maths of the ramp is the easy part. What decides whether the blend is invisible is a set of assumptions nobody writes down.

The big one is black level. In the overlap, both projectors are putting up their black floor at once — and a projector's black is never truly black. Two blacks add, so the blend band is measurably lighter than the rest of the image. On bright content it is invisible; on a dark scene it is a glowing stripe down the middle, and no ramp adjustment can remove it because there is nothing to ramp down.

rule
A blend hides a seam in brightness, not a difference in black level, colour or geometry. Fix those first — the ramp is the last step, not the fix.
Run the numbers.

Beam & throw for diameter and lux, projector throw ratio, screen brightness and the LED wall resolution tool are on the field tools page. Fixture safety standards are indexed under IEC 60598-2-17 and UL 1573.

Check yourself

2 questions on the mechanism rather than the trivia. Nothing is scored and you can answer again — the explanation under a wrong answer is the point of it.

  1. 1A fixture is quoted with a 15° beam angle and a 30° field angle. What is the difference?

  2. 2Two projectors edge-blend and the overlap still looks like a visible band. The ramp is set correctly. What is most likely wrong?

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You can now answer
  • Beam angle or field angle?
  • How wide will that beam be?
  • What does blending not fix?
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Where to go next

These pages are a chain rather than a library — the next one along usually answers the question this one raised.

Everything on this page, in the index

Each of these has its own entry with sources, ports, gotchas and an open gap where a field is missing.