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Autocollimation is an
optical
Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviole ...
setup where a
collimated
A collimated beam of light or other electromagnetic radiation has parallel rays, and therefore will spread minimally as it propagates. A perfectly collimated light beam, with no divergence, would not disperse with distance. However, diffraction pr ...
beam (of parallel
light rays
In optics a ray is an idealized geometrical model of light, obtained by choosing a curve that is perpendicular to the ''wavefronts'' of the actual light, and that points in the direction of energy transfer, energy flow. Rays are used to model t ...
) leaves an optical system and is reflected back into the same system by a plane
mirror
A mirror or looking glass is an object that Reflection (physics), reflects an image. Light that bounces off a mirror will show an image of whatever is in front of it, when focused through the lens of the eye or a camera. Mirrors reverse the ...
.
It is used for measuring small tilting angles of the mirror, see
autocollimator
An autocollimator is an optical instrument for non-contact measurement of angles. They are typically used to align components and measure deflections in optical or mechanical systems. An autocollimator works by projecting an image onto a target mir ...
, or for testing the quality of the optical system or of a part of it. Large-aperture optics, however, are tested with a
null corrector
A null corrector is an optical device used in the testing of large aspheric mirrors. A spherical mirror of any size can be tested relatively easily using standard optical components such as laser, mirrors, beamsplitters, and converging lenses. O ...
avoiding the production of a large plane mirror.
One special application is to determine the
focal length
The focal length of an optical system is a measure of how strongly the system converges or diverges light; it is the inverse of the system's optical power. A positive focal length indicates that a system converges light, while a negative foca ...
of a
diverging lens
A lens is a transmissive optical device which focuses or disperses a light beam by means of refraction. A simple lens consists of a single piece of transparent material, while a compound lens consists of several simple lenses (''elements''), ...
: a light source is placed at twice the focal length of a
converging lens
A lens is a transmissive optical device which focuses or disperses a light beam by means of refraction. A simple lens consists of a single piece of transparent material, while a compound lens consists of several simple lenses (''elements''), ...
on one side and a
screen
Screen or Screens may refer to:
Arts
* Screen printing (also called ''silkscreening''), a method of printing
* Big screen, a nickname associated with the motion picture industry
* Split screen (filmmaking), a film composition paradigm in which mul ...
at the same distance on the other side so that the image of the light source is the sharpest possible. When this is achieved, the screen is replaced with a mirror and the diverging lens is inserted between the converging lens and the mirror at such a distance to the mirror that the light returning through the diverging and converging lenses produces a sharp image on top of the luminous object. This is the case when the beam hitting the mirror is collimated. The distance found is the (negative) focal length of the diverging lens.
Light from an origin point O is collimated (made parallel) by a high quality objective lens. If the collimated beam falls perpendicularly onto a plane reflecting surface, the light is reflected back along its original path and is brought to a focus at a point coincident with the origin point. If the reflector is tilted through an angle θ, the reflected beam is deflected through an angle 2θ, and the image I is displaced laterally from the origin 0. The amount of displacement is given by ''d'' = 2θ''f'' where ''f'' is the focal length of the lens, and θ is in radians.
Light from an illuminated target graticule at the focus of an objective lens is directed towards the lens by a beam splitter. After reflection by a mirror on the workpiece, the light returns through the autocollimator and passes through the beam splitter, forming an image of the target graticule in the plane of an eyepiece graticule. The eyepiece graticule and the reflected image of the target graticule are viewed simultaneously through the eyepiece.
The image of the target graticule is always seen in focus and at constant magnification in the eyepiece, regardless of the distance between the Autocollimator and the reflecting surface. However, at long working distances only a portion of the reflected target graticule may appear in the eyepiece, owing to the failure of obliquely returning rays to enter the autocollimator. This will result in a restricted measuring range.