Pinhole camera

The image of a pinhole camera may be projected onto a translucent screen for a real-time viewing (used for safe observation of solar eclipses) or to trace the image on paper. But it is more often used without a translucent screen for pinhole photography with photographic film or photographic paper placed on the surface opposite to the pinhole aperture.

A common use of pinhole photography is to capture the movement of the sun over a long period of time. This type of photography is called solarigraphy. Pinhole photography is used for artistic reasons, but also for educational purposes to let pupils learn about, and experiment with, the basics of photography.

Pinhole cameras with CCDs (charge-coupled devices) are sometimes used for surveillance because they are difficult to detect.

Related cameras, image forming devices, or developments from it include Franke's widefield pinhole camera, the pinspeck camera, and the pinhead mirror.

Modern manufacturing has enabled the production of high quality pinhole lenses[11] that can be applied to digital cameras.

• As pinhole photographs have nearly infinite depth of field, everything appears in focus.
• As there's no lens distortion, wide-angle images remain absolutely rectilinear.
• Exposure times are usually long, resulting in motion blur around moving objects and the absence of objects that moved too fast.

Other special features can be built into pinhole cameras such as the ability to take double images by using multiple pinholes, or the ability to take pictures in cylindrical or spherical perspective by curving the film plane.

A home-made pinhole camera (on the left), wrapped in black plastic to prevent light leaks, and related developing supplies

Pinhole cameras can be handmade by the photographer for a particular purpose. In its simplest form, the photographic pinhole camera can consist of a light-tight box with a pinhole in one end, and a piece of film or photographic paper wedged or taped into the other end. A flap of cardboard with a tape hinge can be used as a shutter. The pinhole may be punched or drilled using a sewing needle or small diameter bit through a piece of tinfoil or thin aluminum or brass sheet. This piece is then taped to the inside of the light-tight box behind a hole cut through the box. A cylindrical oatmeal container may be made into a pinhole camera.

The interior of an effective pinhole camera is black to avoid any reflection of the entering light onto the photographic material or viewing screen.[12]

Pinhole cameras can be constructed with a sliding film holder or back so the distance between the film and the pinhole can be adjusted. This allows the angle of view of the camera to be changed and also the effective f-stop ratio of the camera. Moving the film closer to the pinhole will result in a wide angle field of view and shorter exposure time. Moving the film farther away from the pinhole will result in a telephoto or narrow-angle view and longer exposure time.

Pinhole cameras can also be constructed by replacing the lens assembly in a conventional camera with a pinhole. In particular, compact 35 mm cameras whose lens and focusing assembly have been damaged can be reused as pinhole cameras—maintaining the use of the shutter and film winding mechanisms. As a result of the enormous increase in f-number, while maintaining the same exposure time, one must use a fast film in direct sunshine.

Pinholes (homemade or commercial) can be used in place of the lens on an SLR. Use with a digital SLR allows metering and composition by trial and error, and is effectively free, so is a popular way to try pinhole photography.[13]

Up to a certain point, the smaller the hole, the sharper the image, but the dimmer the projected image. Optimally, the size of the aperture should be 1/100 or less of the distance between it and the projected image.

Within limits, a small pinhole through a thin surface will result in a sharper image resolution because the projected circle of confusion at the image plane is practically the same size as the pinhole. An extremely small hole, however, can produce significant diffraction effects and a less clear image due to the wave properties of light.[14] Additionally, vignetting occurs as the diameter of the hole approaches the thickness of the material in which it is punched, because the sides of the hole obstruct the light entering at anything other than 90 degrees.

The best pinhole is perfectly round (since irregularities cause higher-order diffraction effects) and in an extremely thin piece of material. Industrially produced pinholes benefit from laser etching, but a hobbyist can still produce pinholes of sufficiently high quality for photographic work.

A method of calculating the optimal pinhole diameter was first published by Joseph Petzval in 1857. The smallest possible diameter of the image point and therefore the highest possible image resolution and the sharpest image are given when:[15]

${\displaystyle d={\sqrt {2}}{\sqrt {f\lambda }}=1.41{\sqrt {f\lambda }}}$

(Where d is the pinhole diameter, f is the distance from pinhole to image plane or “focal length” and λ is the wavelength of light.)

The first to apply wave theory to the problem was Lord Rayleigh in 1891. But due to some incorrect and arbitrary deductions he arrived at:[16]

${\displaystyle d=2{\sqrt {f\lambda }}}$

So his optimal pinhole was approximatively 1/3 bigger than Petzval’s.

The correct optimum can be found with Fraunhofer approximation of the diffraction pattern behind a circular aperture at:

${\displaystyle d={\sqrt {2.44}}{\sqrt {f\lambda }}=1.562{\sqrt {f\lambda }}}$

This may be shortened to: ${\displaystyle d=0.0366{\sqrt {f}}}$ (When d and f in millimetres and λ = 550 nm = 0.00055 mm, corresponding to yellow-green.)

For a pinhole-to-film distance of 1 inch or 25.4 mm, this works out to a pinhole of 0.185 mm (185 microns) in diameter. For f= 50 mm the optimal diameter is 0.259 mm.

The depth of field is basically infinite, but this does not mean that no optical blurring occurs. The infinite depth of field means that image blur depends not on object distance but on other factors, such as the distance from the aperture to the film plane, the aperture size, the wavelength(s) of the light source, and motion of the subject or canvas. Additionally, pinhole photography can not avoid the effects of haze.

An example of a 20-minute exposure taken with a pinhole camera

A photograph taken with a pinhole camera using an exposure time of 2s

A graph of the resolution limit of the pinhole camera as a function of focal length (image distance)

In the 1970s, Young measured the resolution limit of the pinhole camera as a function of pinhole diameter[17] and later published a tutorial in The Physics Teacher.[18] Partly to enable a variety of diameters and focal lengths, he defined two normalized variables: resolution limit divided by the pinhole radius, and focal length divided by the quantity s²/λ, where s is the radius of the pinhole and λ is the wavelength of the light, typically about 550 nm. His results are plotted in the figure.

On the left-side of the graph, the pinhole is large, and geometric optics applies; the resolution limit is about 1.5 times the radius of the pinhole. (Spurious resolution is also seen in the geometric-optics limit.) On the right-side, the pinhole is small, and Fraunhofer diffraction applies; the resolution limit is given by the far-field diffraction formula shown in the graph and now increases as the pinhole is made smaller. In this formula, the radius of the pinhole is used instead of its diameter, that's why the constant is 0.61 instead of the more usual 1.22. In the region of near-field diffraction (or Fresnel diffraction), the pinhole focuses the light slightly, and the resolution limit is minimized when the focal length f (the distance between the pinhole and the film plane) is given by f = s²/λ. At this focal length, the pinhole focuses the light slightly, and the resolution limit is about 2/3 of the radius of the pinhole. The pinhole, in this case, is equivalent to a Fresnel zone plate with a single zone. The value s²/λ is in a sense the natural focal length of the pinhole.

The relation f = s²/λ yields an optimum pinhole diameter d = 2√fλ, so the experimental value differs slightly from the estimate of Petzval, above.

A fire hydrant photographed by a pinhole camera made from a shoe box, exposed on photographic paper to create the negative image (top). The positive image (bottom) was created digitally from the negative image. The length of the exposure was 40 seconds. There is noticeable flaring in the bottom-right corner of the image, likely due to extraneous light entering the camera box.

The f-number of the camera may be calculated by dividing the distance from the pinhole to the imaging plane (the focal length) by the diameter of the pinhole. For example, a camera with a 0.5 mm diameter pinhole, and a 50 mm focal length would have an f-number of 50/0.5, or 100 (f/100 in conventional notation).

Due to the large f-number of a pinhole camera, exposures will often encounter reciprocity failure.[19] Once exposure time has exceeded about 1 second for film or 30 seconds for paper, one must compensate for the breakdown in linear response of the film/paper to intensity of illumination by using longer exposures.

Exposures projected on to modern light-sensitive photographic film can typically range from five seconds up to as much as several hours, with smaller pinholes requiring longer exposures to produce the same size image. Because a pinhole camera requires a lengthy exposure, its shutter may be manually operated, as with a flap made of opaque material to cover and uncover the pinhole.

A non-focusing coded-aperture optical system may be thought of as multiple pinhole cameras in conjunction. By adding pinholes, light throughput and thus sensitivity are increased. However, multiple images are formed, usually requiring computer deconvolution.

A revival in popularity has become evident in recent years with the success of Kickstarter crowdfunding campaigns offering a range of pinhole photography products. Projects have included a camera crafted from wood[20] and the Pinhole Pro,[11] a lens designed for DSLR and MILC digital cameras.

Replica images of a partial solar eclipse

A pinhole camera effect can sometimes occur naturally. Small "pinholes" formed by the gaps between overlapping tree leaves will create replica images of the sun on flat surfaces. During an eclipse, this produces small crescents in the case of a partial eclipse, or hollow rings in the case of an annular eclipse.

Worldwide Pinhole Photography Day is observed on the last Sunday of April, every year.[21]

• Billy Childish
• George Davison
• Barbara Ess
• Wolf Howard
• Steven Pippin
• Jesse Richards

Alternative photography
Bleach bypass Bromoil process Cross processing Cyanotype Double exposure Gum bichromate Infrared Oil print process Pinhole Platinum process Polaroid art Redscale Sprocket hole Through the Viewfinder Ultraviolet

• Camera obscura (usually employs a lens)
• Dirkon
• Henry Fox Talbot
• Ibn al-Haytham
• Nautilus (whose pinhole eye functions as a camera obscura)
• Pinhole camera model
• Pinhole glasses
• Pinhole occluder, a similar device used by ophthalmologists
• Spatial filter
• The Great Picture
• Zone plate

• Eric Renner Pinhole Photography: From Historic Technique to Digital Application

Media related to Pinhole cameras at Wikimedia Commons

• pinhole.cz
• Pinhole Photography by Vladimir Zivkovic
• Worldwide Pinhole Photography Day website
• An easy way to convert a DSLR to a pinhole camera
• Pinhole Photography and Camera Design Calculators
• Oregon Art Beat: Pinhole Photos by Zeb Andrews
• Civil War 150 Pinhole Project by Michael Falco