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A roof prism, also called a Dachkanten prism or Dach prism (from German: Dachkante, lit. "roof edge"), is a reflective prism containing a section where two faces meet at a 90° angle, resembling the roof of a building and thus the name.
Binoculars using either a Schmidt–Pechan roof prism, Abbe–Koenig roof prism or an Uppendahl roof prism benefit from phase coatings that compensate for a loss of resolution and contrast caused by the interference effects that occur in untreated roof prisms.
Abbe-Koenig prisms are significantly longer than Schmidt–Pechan prisms, and were and are rarely used except in large roof prism type binoculars, where light weight, compact size and cost are less important than ultimate light-gathering power.
A Schmidt–Pechan prism is a type of optical prism used to rotate an image by 180°. These prisms are commonly used in binoculars as an image erecting system. The Schmidt–Pechan prism makes use of a roof prism section (from the German: "Dachkante", lit. roof edge ).
Roof prism designs allow a simpler exterior, and are now common but they are more expensive to produce. Complicating production requirements make high-quality roof prism design binoculars relatively costly to produce compared to in optical quality equivalent Porro prism binoculars.
A relatively new type of telescopic sight, called prismatic telescopic sight, prismatic sight or "prism scope", replaces the image-erecting relay lenses of a traditional telescope with a roof prism design commonly found in compact binoculars, monoculars and spotting scopes.