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Diffraction spike

From Wikipedia, the free encyclopedia
Lines radiating from bright light sources in photographs
Diffraction spikes from various stars seen on an image taken by theHubble Space Telescope
Diffraction spikes caused inJames Webb Space Telescope due to its hexagonal aperture and three support struts

Diffraction spikes are lines radiating from bright light sources, causing what is known as thestarburst effect[1] orsunstars[2] in photographs and in vision. They areartifacts caused by lightdiffracting around the support vanes of the secondary mirror inreflecting telescopes, or edges of non-circular cameraapertures, and around eyelashes and eyelids in the eye.

While similar in appearance, this is a different effect to "vertical smear" or "blooming" that appears when bright light sources are captured by acharge-coupled device (CCD) image sensor.

Causes

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Support vanes

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Comparison of diffraction spikes for various strut arrangements of a reflecting telescope. The inner circle represents the secondary mirror.
The optics of aNewtonian reflector telescope with fourspider vanes supporting the secondary mirror. These cause the four-spike diffraction pattern commonly seen in astronomical images.

In the vast majority ofreflecting telescope designs, the secondary mirror has to be positioned at the central axis of the telescope and so has to be held by struts within the telescope tube. No matter how fine these support rods are theydiffract the incoming light from a subject star and this appears as diffraction spikes which are theFourier transform of the support struts. The spikes represent a loss of light that could have been used to image the star.[3][4]

Although diffraction spikes can obscure parts of a photograph and are undesired in professional contexts, someamateur astronomers like the visual effect they give to bright stars – the "Star of Bethlehem" appearance – and even modify their refractors to exhibit the same effect,[5] or to assist with focusing when using aCCD.[6]

A small number of reflecting telescopes designs avoid diffraction spikes by placing the secondary mirror off-axis. Early off-axis designs such as theHerschelian and theSchiefspiegler telescopes have serious limitations such asastigmatism and long focal ratios, which make them useless for research. The brachymedial design byLudwig Schupmann, which uses a combination of mirrors and lenses, is able to correctchromatic aberration perfectly over a small area and designs based on the Schupmann brachymedial are currently used for research ofdouble stars.

There are also a small number of off-axis unobstructed all-reflectinganastigmats which give optically perfect images.

Refracting telescopes and their photographic images do not have the same problem as their lenses are not supported with spider vanes.

Non-circular aperture

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Apertures blades of camera

Iris diaphragms with moving blades are used in most modern camera lenses to restrict the light received by the film or sensor. While manufacturers attempt to make theaperture circular for a pleasingbokeh, when stopped down to highf-numbers (small apertures), its shape tends towards a polygon with the same number of sides as blades. Diffraction spreads out light waves passing through the aperture perpendicular to the roughly-straight edge, each edge yielding two spikes 180° apart.[7] As the blades are uniformly distributed around the circle, on a diaphragm with an even number of blades, the diffraction spikes from blades on opposite sides overlap. Consequently, a diaphragm withn  blades yieldsn  spikes ifn  is even, and 2n  spikes ifn  is odd.[8]

Comparison of diffraction spikes for apertures of different shapes and blade count
  • 5 blades giving 10 spikes
    5 blades giving 10 spikes
  • 6 blades giving 6 spikes
    6 blades giving 6 spikes
  • 7 blades giving 14 spikes
    7 blades giving 14 spikes
  • 8 blades giving 8 spikes
    8 blades giving 8 spikes
  • 9 blades giving 18 spikes
    9 blades giving 18 spikes
  • 10 blades giving 10 spikes
    10 blades giving 10 spikes
  • 4 blades giving 4 spikes
    4 blades giving 4 spikes

Segmented mirrors

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Images fromtelescopes withsegmented mirrors also exhibit diffraction spikes due to diffraction from the mirrors' edges. As before, two spikes are perpendicular to each edge orientation, resulting in six spikes (plus two fainter ones due to the spider supporting the secondary mirror) in photographs taken by theJames Webb Space Telescope.[9]

  • The first JWST deep field with diffraction spikes
    The first JWST deep field with diffraction spikes
  • JWST image of star cluster Westerlund 1 with diffraction spikes
    JWST image of star clusterWesterlund 1 with diffraction spikes
  • JWST image of the spiral galaxy NGC 7469 with diffraction spikes
    JWST image of the spiral galaxyNGC 7469 with diffraction spikes
  • Edges of the JWST primary mirror segments and spider colour-coded with their corresponding diffraction spikes
    Edges of the JWST primary mirror segments and spider colour-coded with their corresponding diffraction spikes

Dirty optics

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Streaks due to a dirty lens

An improperly cleaned lens or cover glass, or one with a fingerprint may have parallel lines which diffract light similarly to support vanes.[10] They can be distinguished fromspikes due to non-circular aperture as they form a prominent smear in a single direction, and fromCCD bloom by their oblique angle.

Sun obscured by tree

In vision

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In normal vision, diffraction through eyelashes – and due to the edges of the eyelids if one is squinting – produce many diffraction spikes. If it is windy, then the motion of the eyelashes cause spikes that move around and scintillate. After a blink, the eyelashes may come back in a different position and cause the diffraction spikes to jump around. This is classified as anentoptic phenomenon.

Diffraction spike in normal human vision can also be caused by some fibers in the eye lens sometimes calledsuture lines.[11]

Other uses

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Special effects

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Near theequinoxes in Chicago sunrise and sunset photography of east–west urbanstreet canyons often features diffraction spikes. SimilarManhattanhenge happenings occur throughout the year around the world.
Effect of a triangular star filter

Across screen filter, also known as a star filter, creates a star pattern using a very finediffraction grating embedded in the filter, or sometimes by the use of prisms in the filter. The number of stars varies by the construction of the filter, as does the number of points each star has.

A similar effect is achieved by photographing bright lights through a window screen with vertical and horizontal wires. The angles of the bars of the cross depend on the orientation of the screen relative to the camera.[7]

Bahtinov mask

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Main article:Bahtinov mask
Use of diffraction spikes to focus a telescope with aBahtinov mask

In amateurastrophotography, a Bahtinov mask can be used to focus small astronomical telescopes accurately. Light from a bright point such as an isolated bright star reaching different quadrants of theprimary mirror or lens is first passed through grilles at three different orientations. Half of the mask generates a narrow "X" shape from four diffraction spikes (blue and green in the illustration); the other half generates a straight line from two spikes (red). Changing the focus causes the shapes to move with respect to each other. When the line passes exactly through the middle of the "X", the telescope is in focus and the mask can be removed.

References

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  1. ^Cheong, Kang Hao; Koh, Jin Ming; Tan, Joel Shi Quan; Lendermann, Markus (2018-11-16)."Computational Imaging Prediction of Starburst-Effect Diffraction Spikes".Scientific Reports.8 (1): 16919.Bibcode:2018NatSR...816919L.doi:10.1038/s41598-018-34400-z.ISSN 2045-2322.PMC 6240111.PMID 30446668.
  2. ^Brockway, Don (November 1989). "Scenics".Popular Photography: 55.
  3. ^Nemiroff, R.; Bonnell, J., eds. (15 April 2001)."Diffraction spikes explained".Astronomy Picture of the Day.NASA.
  4. ^Internal Reflections and Diffraction Spikes. Caltech. Accessed April 2010
  5. ^"About This Site".homepage.ntlworld.com. Archived fromthe original on 3 February 2012. Retrieved12 January 2022.
  6. ^"Equipment".
  7. ^abRudolf Kingslake (1992).Optics in Photography. SPIE Press. p. 61.ISBN 978-0-8194-0763-4.
  8. ^Vorenkamp, Todd (2015-09-16)."6 Tips to Create Compelling Star Effects, Sun Stars, Starbursts, Sun Flares, or Diffraction Spikes in Your Photographs".B&H eXplora.Archived from the original on 2022-07-07. Retrieved2023-02-17.
  9. ^"James Webb: 'Fully focused' telescope beats expectations".BBC News. 16 March 2022.
  10. ^Gu, Jinwei; Ramamoorthi, Ravi; Belhumeur, Peter; Nayar, Shree (2009)."Removing image artifacts due to dirty camera lenses and thin occluders".ACM SIGGRAPH Asia 2009 papers on – SIGGRAPH Asia '09. p. 1.doi:10.1145/1661412.1618490.ISBN 9781605588582.S2CID 7326293.
  11. ^"Why Do Stars Look Pointy to Humans? | Britannica".www.britannica.com. Retrieved2024-02-18.

External links

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