Circumzenithal arc

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A circumzenithal arc in Salem, Massachusetts, Oct 27, 2012. Also visible are a supralateral arc, Parry arc (upper suncave), and upper tangent arc. Solar halos with foreground, Salem, MA, Oct 27, 2012.JPG
A circumzenithal arc in Salem, Massachusetts, Oct 27, 2012. Also visible are a supralateral arc, Parry arc (upper suncave), and upper tangent arc.

The circumzenithal arc, also called the circumzenith arc (CZA), upside-down rainbow, and the Bravais arc, [1] is an optical phenomenon similar in appearance to a rainbow, but belonging to the family of halos arising from refraction of sunlight through ice crystals, generally in cirrus or cirrostratus clouds, rather than from raindrops. The arc is located at a considerable distance (approximately 46°) above the observed Sun and at most forms a quarter of a circle centered on the zenith. It has been called "a smile in the sky", its first impression being that of an upside-down rainbow. The CZA is one of the brightest and most colorful members of the halo family. Its colors, ranging from violet on top to red at the bottom, are purer than those of a rainbow because there is much less overlap in their formation.

Contents

The intensity distribution along the circumzenithal arc requires consideration of several effects: Fresnel's reflection and transmission amplitudes, atmospheric attenuation, chromatic dispersion (i.e. the width of the arc), azimuthal angular dispersion (ray bundling), and geometrical constraints. [2] [3] In effect, the CZA is brightest when the Sun is observed at about 20°.

Contrary to public awareness, the CZA is not a rare phenomenon, but it tends to be overlooked since it occurs so far overhead. It is worthwhile to look out for it when sun dogs are visible, since the same type of ice crystals that cause them (plate-shaped hexagonal prisms in horizontal orientation) are responsible for the CZA. [4]

Formation

The light that forms the CZA enters an ice crystal through its flat top face, and exits through a side prism face. The refraction of almost parallel sunlight through what is essentially a 90-degree prism accounts for the wide color separation and the purity of color. The CZA can only form when the sun is at an altitude lower than 32.2°. [5] The CZA is brightest when the sun is at 22° above the horizon, which causes sunlight to enter and exit the crystals at the minimum deviation angle; then it is also about 22° in radius, 1.5° in width [6] . The CZA radius varies between 32.2° and 0°, getting smaller with rising solar altitude. It is best observed with the solar altitudes of about 15°-25°, while towards either of the extremes it is vanishingly faint. When the Sun is observed above 32.2°, light exits the crystals through the bottom face instead, to contribute to the almost colorless parhelic circle.

Because the phenomenon also requires that the ice crystals have a common orientation, it occurs only in the absence of turbulence and when there is no significant up- or downdraft. [7]

Lunar circumzenithal arc

As with all halos, the CZA can be caused by light from the Moon as well as from the Sun: the former is referred to as a lunar circumzenithal arc. [8] Its occurrence is rarer than the solar variety, since it requires the Moon to be sufficiently bright, which is typically only the case around full moon.

Artificial circumzenithal arc

Analogous refraction demonstration experiment for the Circumzenithal Arc. Here, it is mistakenly labelled as an artificial rainbow in Gilberts book Artificial CZA.png
Analogous refraction demonstration experiment for the Circumzenithal Arc. Here, it is mistakenly labelled as an artificial rainbow in Gilberts book

A water glass experiment (known at least since 1920, [9] cf. image on the right, or even longer [10] [11] ) may be used to create an artificial circumzenithal arc. Illuminating (under a shallow angle) the top air-water interface of a nearly completely water-filled cylindrical glass will refract the light into the water. The glass should be situated at the edge of a table. The second refraction at the cylinder's side face is then a skew-ray refraction. The overall refraction turns out to be equivalent to the refraction through an upright hexagonal plate crystal when the rotational averaging is taken into account. A colorful artificial circumzenithal arc will then appear projected on the floor. [3] Other artificial halos can be created by similar means.

See also

Related Research Articles

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<span class="mw-page-title-main">Halo (optical phenomenon)</span> Optical phenomenon of the sky

A halo is an optical phenomenon produced by light interacting with ice crystals suspended in the atmosphere. Halos can have many forms, ranging from colored or white rings to arcs and spots in the sky. Many of these appear near the Sun or Moon, but others occur elsewhere or even in the opposite part of the sky. Among the best known halo types are the circular halo, light pillars, and sun dogs, but many others occur; some are fairly common while others are extremely rare.

<span class="mw-page-title-main">Antisolar point</span> Point on the celestial sphere opposite Sun

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<span class="mw-page-title-main">Moon dog</span> Bright spot on a lunar halo

A moon dog or mock moon, also called a paraselene in meteorology, is an atmospheric optical phenomenon that consists of a bright spot to one or both sides of the Moon. They are exactly analogous to sun dogs.

<span class="mw-page-title-main">Rainbow</span> Meteorological phenomenon

A rainbow is an optical phenomenon that can occur under certain meteorological conditions. It is caused by refraction, internal reflection and dispersion of light in water droplets resulting in a continuous spectrum of light appearing in the sky. The rainbow takes the form of a multicoloured circular arc. Rainbows caused by sunlight always appear in the section of sky directly opposite the Sun.

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<span class="mw-page-title-main">Circumhorizontal arc</span> Optical phenomenon

A circumhorizontal arc is an optical phenomenon that belongs to the family of ice halos formed by the refraction of sunlight or moonlight in plate-shaped ice crystals suspended in the atmosphere, typically in cirrus or cirrostratus clouds. In its full form, the arc has the appearance of a large, brightly spectrum-coloured band running parallel to the horizon, located far below the Sun or Moon. The distance between the arc and the Sun or Moon is twice as far as the common 22-degree halo. Often, when the halo-forming cloud is small or patchy, only fragments of the arc are seen. As with all halos, it can be caused by the Sun as well as the Moon.

<span class="mw-page-title-main">Parhelic circle</span>

A parhelic circle is a type of halo, an optical phenomenon appearing as a horizontal white line on the same altitude as the Sun, or occasionally the Moon. If complete, it stretches all around the sky, but more commonly it only appears in sections. If the halo occurs due to light from the Moon rather than the Sun, it is known as a paraselenic circle.

<span class="mw-page-title-main">22° halo</span> Atmospheric optical phenomenon

A 22° halo is an atmospheric optical phenomenon that consists of a halo with an apparent radius of approximately 22° around the Sun or Moon. When visible around the Moon, it is also known as a moon ring, storm ring, or winter halo. It forms as sunlight or moonlight is refracted by millions of hexagonal ice crystals suspended in the atmosphere. Its radius is roughly the length of an outstretched hand at arm's length.

<span class="mw-page-title-main">Tangent arc</span> Atmospheric optical phemonenon

Tangent arcs are a type of halo, an atmospheric optical phenomenon, which appears above and below the observed Sun or Moon, tangent to the 22° halo. To produce these arcs, rod-shaped hexagonal ice crystals need to have their long axis aligned horizontally.

<span class="mw-page-title-main">Circumscribed halo</span> Optical phenomenon

A circumscribed halo is a type of halo, an optical phenomenon typically in the form of a more or less oval ring that circumscribes the circular 22° halo centred on the Sun or Moon. As the Sun rises above 70° it essentially covers the 22° halo. Like many other halos, it is slightly reddish on the inner edge, facing the Sun or Moon, and bluish on the outer edge.

<span class="mw-page-title-main">Supralateral arc</span>

A supralateral arc is a comparatively rare member of the halo family which in its complete form appears as a large, faintly rainbow-colored band in a wide arc above the sun and appearing to encircle it, at about twice the distance as the familiar 22° halo. In reality, however, the supralateral arc does not form a circle and never reaches below the sun. When present, the supralateral arc touches the circumzenithal arc from below. As in all colored halos, the arc has its red side directed towards the sun, its blue part away from it.

An infralateral arc is a rare halo, an optical phenomenon appearing similar to a rainbow under a white parhelic circle. Together with the supralateral arc they are always located outside the seldom observable 46° halo, but in contrast to supralateral arcs, infralateral arcs are always located below the parhelic circle.

<span class="mw-page-title-main">46° halo</span> Atmospheric optical phenomenon

A 46° halo is a rare atmospheric optical phenomenon that consists of a halo with an apparent radius of approximately 46° around the Sun. At solar elevations of 15–27°, 46° halos are often confused with the less rare and more colourful supralateral and infralateral arcs, which cross the parhelic circle at about 46° to the left and right of the sun.

<span class="mw-page-title-main">Parry arc</span> Optical phenomenon

A Parry arc is a rare halo, an optical phenomenon which occasionally appears over a 22° halo together with an upper tangent arc.

<span class="mw-page-title-main">Cloud iridescence</span> Optical phenomenon

Cloud iridescence or irisation is a colorful optical phenomenon that occurs in a cloud and appears in the general proximity of the Sun or Moon. The colors resemble those seen in soap bubbles and oil on a water surface. It is a type of photometeor. This fairly common phenomenon is most often observed in altocumulus, cirrocumulus, lenticular, and cirrus clouds. They sometimes appear as bands parallel to the edge of the clouds. Iridescence is also seen in the much rarer polar stratospheric clouds, also called nacreous clouds.

The Kern arc is an extremely rare atmospheric optical phenomenon belonging to the family of ice crystal halos. It is a complete and faint circle around the zenith, in contrast to the related and much more common circumzenithal arc, which is only ever a partial circle.

<span class="mw-page-title-main">Atmospheric optics</span> Study of the optical characteristics of the atmosphere or products of atmospheric processes

Atmospheric optics is "the study of the optical characteristics of the atmosphere or products of atmospheric processes .... [including] temporal and spatial resolutions beyond those discernible with the naked eye". Meteorological optics is "that part of atmospheric optics concerned with the study of patterns observable with the naked eye". Nevertheless, the two terms are sometimes used interchangeably.

<span class="mw-page-title-main">Lowitz arc</span>

A Lowitz arc is an optical phenomenon that occurs in the atmosphere; specifically, it is a rare type of ice crystal halo that forms a luminous arc which extends inwards from a sun dog (parhelion) and may continue above or below the sun.

<span class="mw-page-title-main">Optical phenomenon</span> Observable events that result from the interaction of light and matter

Optical phenomena are any observable events that result from the interaction of light and matter.

References

  1. "Mémoire sur les halos et les phénomènes optiques qui les accompagnent", J. de l' École Royale Polytechnique 31(18), 1-270, A. Bravais, 1847
  2. "Frequency analysis of the circumzenithal arc: Evidence for the oscillation of ice-crystal plates in the upper atmosphere," J. Opt. Soc. Am. 69(8), 1119–1122 (1979)
  3. 1 2 3 "Artificial circumzenithal and circumhorizontal arcs", M. Selmke and S. Selmke, American Journal of Physics (Am. J. Phys.) Vol. 85(8), p.575-581 link
  4. "Circumzenithal Arc". www.atoptics.co.uk.
  5. "CZA - Effect of solar altitude". www.atoptics.co.uk.
  6. "Ice halos: physics of the circumzenithal arc". iapetus.jb.man.ac.uk.
  7. Stokel-Walker, Chris (18 January 2016). "Who, What, Why: How common are upside-down rainbows?". BBC News Online . Retrieved 18 January 2016.
  8. "OPOD - Lunar Circumzenithal Arc". www.atoptics.co.uk.
  9. 1 2 Gilbert light experiments for boys - (1920), p. 98, Experiment No. 94 link
  10. Practical Education Vol. 1, Maria Edgeworth and Richard Lovell Edgeworth 1798, London, p.55-56 link, (misidentified as a rainbow): "S-, a little boy of nine years old, was standing without any book in his hand, and freely idle; he was amusing himself with looking at what he called a rainbow upon the floor: [...] The sun shone bright through the window; [...] At last he found, that when he moved the tumbler of water out of the place where it stood, his rainbow vanished. [...] immediately observed, that it was the water and the glas together that made the rainbow. [...]"
  11. Leonardo Da Vinci, Anatomical drawings at Windsor, folio 118r, ca 1508 link