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The prism in binoculars ensures that an inverted image is projected in an upright position. The prism also shortens the optical path, resulting in a sleeker and more compact construction.
Roof prism binoculars are technically more complicated than Porro prism
binoculars. The reason for this is that the prisms used in roof
prism binoculars must be produced with exceptional care and they
must also be of a higher quality than prisms used in Porro
binoculars. Roof prisms also require top-quality coating.

The advantage of binoculars with a roof prism is that they have
straight tubes where the front or objective
lens is in line with the rear or ocular lens,
whereas binoculars with a Porro prism have tubes that are offset or
not in alignment with each other. Roof prism binoculars are
therefore more compact and easier to take along with you. It is
also easier to seal them, making their internal lenses watertight
and less susceptible to dust and damage. Since the front objectives
in roof prism binoculars are not out of alignment, as is the case
with Porro binoculars, the perception of depth will be less than
they would be with Porro binoculars.

When using roof prism binoculars, focusing occurs
by shifting a lens (group) in the binoculars. Conversely, focusing
with Porro prism binoculars occurs when the ocular is moved. This
results in 'changes in volume' taking place in the binoculars and
the accompanying shifts in air (air transition), making it far more
difficult to seal Porro prism binoculars to make them watertight
and dust-free.
High-quality roof prism binoculars come equipped with a so-called
phase coating, which corrects phase variations caused by the
difference in the 'length of the path' the light has to travel in
the prism. Phase coating ensures optimal contrast and maximum clarity
and brightness.