Pick a lens, set your screen, and see exactly where the projector has to stand — drawn to scale, with image size, diagonal, lens shift and screen brightness.
Throw distance is simply the gap between the projector lens and the surface you are projecting onto. It is the single measurement that decides how big your image will be — move the projector back and the image grows, move it forward and it shrinks.
Throw ratio is throw distance divided by image width. A 2.0:1 lens needs two metres of distance for every one metre of image width, so a 5 m wide image needs 10 m of room. Because the relationship is a straight multiplication, once you know the throw ratio you can work out either figure from the other. A zoom lens quotes two ratios — one at full wide, one at full tele — and anything between them is achievable.
Multiply your intended image width by the throw ratio. A 4 m wide screen on a 1.5:1 lens puts the projector 6 m back. If the lens zooms from 1.3 to 1.8, the same screen can be lit from anywhere between 5.2 m and 7.2 m — useful when a truss position or a doorway is fixed and you cannot move it.
Roughly 0.4:1 or lower. These lenses fill a big screen from very close, which matters for rear projection where there is little depth behind the screen, or for wall-mounted installs where people would otherwise walk through the beam. Ultra short throw lenses go further still and sit almost against the surface.
Lens shift moves the image up, down or sideways without tilting the projector. It is quoted as a percentage of image height. Using shift rather than tilting keeps the image rectangular — tilting forces you into keystone correction, which throws away pixels and softens the picture. On a rigged show, shift is what lets you fly a projector above head height and still hit the screen squarely.
Brightness on the screen is measured in foot-lamberts, and it depends on the projector's lumens, the screen's gain and — crucially — the screen's area. Doubling the image width quadruples the area, so brightness falls fast as you scale up. As a working guide: about 12–22 fL suits a blacked-out room, 25–50 fL a typical dimmed event, and you need considerably more where daylight or house lights are in play. Enter your projector's lumens above and the calculator will show where you land.
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