Entrance pupil

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The entrance pupil made by a single lens with an aperture (aperture stop) behind it. The entrance pupil is the image of the aperture stop viewed from the front of the optical system. Entrance pupil - 0, 2023-11-03.png
The entrance pupil made by a single lens with an aperture (aperture stop) behind it. The entrance pupil is the image of the aperture stop viewed from the front of the optical system.
A camera lens adjusted for large and small aperture. The visible opening is the entrance pupil of the lens. Apertures.jpg
A camera lens adjusted for large and small aperture. The visible opening is the entrance pupil of the lens.
The apparent location of the anatomical pupil of a human eye (black circle) is the eye's entrance pupil location. The outside world appears to be seen from the point at the center of the entrance pupil. The anatomical pupil itself is slightly different from the entrance pupil because the image is magnified by the cornea. 030608 Pupil.jpg
The apparent location of the anatomical pupil of a human eye (black circle) is the eye's entrance pupil location. The outside world appears to be seen from the point at the center of the entrance pupil. The anatomical pupil itself is slightly different from the entrance pupil because the image is magnified by the cornea.

In an optical system, the entrance pupil is the optical image of the physical aperture stop, as 'seen' through the front (the object side) of the lens system. The corresponding image of the aperture as seen through the back of the lens system is called the exit pupil. If there is no lens in front of the aperture (as in a pinhole camera), the entrance pupil's location and size are identical to those of the aperture. Optical elements in front of the aperture will produce a magnified or diminished image that is displaced from the location of the physical aperture. The entrance pupil is usually a virtual image: it lies behind the first optical surface of the system.

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The entrance pupil is a useful concept for determining the size of the cone of rays that an optical system will accept. Once the size and the location of the entrance pupil of an optical system is determined, the maximum cone of rays that the system will accept from a given object plane is determined solely by the size of the entrance pupil and its distance from the object plane, without any need to consider ray refraction by the optics. [1]

In photography, the size of the entrance pupil (rather than the size of the physical aperture stop) is used to calibrate the opening and closing of the diaphragm aperture. The f-number ("relative aperture"), N, is defined by N = f / EN, where f is the focal length and EN is the diameter of the entrance pupil. [2] Increasing the focal length of a lens (i.e., zooming in) will usually cause the f-number to increase, and the entrance pupil location to move further back along the optical axis.

The center of the entrance pupil is the vertex of a camera's angle of view [3] and consequently its center of perspective, perspective point, view point, projection center [4] or no-parallax point. [5] This point is important in panoramic photography without digital image processing, because the camera must be rotated around the center of the entrance pupil to avoid parallax errors in the final, stitched panorama. [6] [7] Panoramic photographers often incorrectly refer to the entrance pupil as a nodal point, which is a different concept. Depending on the lens design, the entrance pupil location on the optical axis may be behind, within or in front of the lens system; and even at infinite distance from the lens in the case of telecentric systems.

The entrance pupil of the human eye, which is not quite the same as the physical pupil, is typically about 4 mm in diameter. It can range from 2 mm (f/8.3) in a very brightly lit place to 8 mm (f/2.1) in the dark. [8]

Most optical systems are designed with a single aperture stop, and therefore have a single entrance pupil. In some cases, however, different elements serve as the aperture stop for objects at different distances. [1] In such cases, the system will have different entrance pupils for different object planes. Similarly, vignetting can cause different lateral locations at a given object plane to have different aperture stops, and therefore different entrance pupils. [1]

See also

Related Research Articles

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<span class="mw-page-title-main">Lens</span> Optical device which transmits and refracts light

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<span class="mw-page-title-main">Optics</span> Branch of physics that studies light

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, ultraviolet, and infrared light. Because light is an electromagnetic wave, other forms of electromagnetic radiation such as X-rays, microwaves, and radio waves exhibit similar properties.

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f-number Measure of lens speed

An f-number is a measure of the light-gathering ability of an optical system such as a camera lens. It is calculated by dividing the system's focal length by the diameter of the entrance pupil. The f-number is also known as the focal ratio, f-ratio, or f-stop, and it is key in determining the depth of field, diffraction, and exposure of a photograph. The f-number is dimensionless and is usually expressed using a lower-case hooked f with the format f/N, where N is the f-number.

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<span class="mw-page-title-main">Angle of view (photography)</span> Angular extent of given scene imaged by camera

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<span class="mw-page-title-main">Optical telescope</span> Telescope for observations with visible light

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<span class="mw-page-title-main">Magnification</span> Process of enlarging the apparent size of something

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<span class="mw-page-title-main">Exit pupil</span>

In optics, the exit pupil is a virtual aperture in an optical system. Only rays which pass through this virtual aperture can exit the system. The exit pupil is the image of the aperture stop in the optics that follow it. In a telescope or compound microscope, this image is the image of the objective element(s) as produced by the eyepiece. The size and shape of this disc is crucial to the instrument's performance, because the observer's eye can see light only if it passes through the aperture. The term exit pupil is also sometimes used to refer to the diameter of the virtual aperture. Older literature on optics sometimes refers to the exit pupil as the Ramsden disc, named after English instrument-maker Jesse Ramsden.

<span class="mw-page-title-main">Diaphragm (optics)</span> Thin opaque structure with an opening (aperture) at its center

In optics, a diaphragm is a thin opaque structure with an opening (aperture) at its center. The role of the diaphragm is to stop the passage of light, except for the light passing through the aperture. Thus it is also called a stop. The diaphragm is placed in the light path of a lens or objective, and the size of the aperture regulates the amount of light that passes through the lens. The centre of the diaphragm's aperture coincides with the optical axis of the lens system.

<span class="mw-page-title-main">Vignetting</span> Reduction of an images brightness or saturation toward the periphery compared to the image center

In photography and optics, vignetting is a reduction of an image's brightness or saturation toward the periphery compared to the image center. The word vignette, from the same root as vine, originally referred to a decorative border in a book. Later, the word came to be used for a photographic portrait that is clear at the center and fades off toward the edges. A similar effect is visible in photographs of projected images or videos off a projection screen, resulting in a so-called "hotspot" effect.

<span class="mw-page-title-main">Ray (optics)</span> Idealized model of light

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<span class="mw-page-title-main">Telecentric lens</span> Optical lens

A telecentric lens is a special optical lens that has its entrance or exit pupil, or both, at infinity. The size of images produced by a telecentric lens is insensitive to either the distance between an object being imaged and the lens, or the distance between the image plane and the lens, or both, and such an optical property is called telecentricity. Telecentric lenses are used for precision optical two-dimensional measurements, reproduction, and other applications that are sensitive to the image magnification or the angle of incidence of light.

In Gaussian optics, the cardinal points consist of three pairs of points located on the optical axis of a rotationally symmetric, focal, optical system. These are the focal points, the principal points, and the nodal points; there are two of each. For ideal systems, the basic imaging properties such as image size, location, and orientation are completely determined by the locations of the cardinal points; in fact, only four points are necessary: the two focal points and either the principal points or the nodal points. The only ideal system that has been achieved in practice is a plane mirror, however the cardinal points are widely used to approximate the behavior of real optical systems. Cardinal points provide a way to analytically simplify an optical system with many components, allowing the imaging characteristics of the system to be approximately determined with simple calculations.

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References

  1. 1 2 3 Hecht, Eugene (2017). "5.3.2 Entrance and Exit Pupils". Optics (5th ed.). Pearson. ISBN   978-1-292-09693-3.
  2. Jacobson, Ralph; et al. (1988). The Manual of Photography (8th ed.). Focal Press. ISBN   0-240-51268-5. p.49
  3. Greivenkamp, John E. (2004). Field Guide to Geometrical Optics. SPIE Field Guides vol. FG01. Bellingham, Wash: SPIE. p. 27. ISBN   978-0-8194-5294-8. OCLC   53896720.
  4. Lenhardt, Karl. "Optical Measurement Techniques with Telecentric Lenses" (PDF). Schneider Kreuznach. Archived from the original (PDF) on September 24, 2015. Retrieved Oct 14, 2014.
  5. Littlefield, Rik (Feb 6, 2006). "Theory of the "No-Parallax" Point in Panorama Photography" (PDF). ver. 1.0. Retrieved Jan 14, 2007.
  6. Kerr, Douglas A. (2005). "The Proper Pivot Point for Panoramic Photography" (PDF). The Pumpkin. Archived from the original (PDF) on Apr 7, 2008. Retrieved Jan 14, 2007.
  7. van Walree, Paul. "Misconceptions in photographic optics". Archived from the original on April 19, 2015. Retrieved Jan 14, 2007. Item #6.
  8. Hecht, Eugene (1987). Optics (2nd ed.). Addison Wesley. ISBN   0-201-11609-X.