Haidinger's brush

File:Haidinger's brush.jpg

Simulated appearance of Haidinger's brush for vertically polarized light. Size and intensity exaggerated for clarity. Actual rotational presentation will vary with polarization of light source.

Haidinger's brush is an entoptic phenomenon first described by Austrian physicist Wilhelm Karl von Haidinger in 1844.

Many people are able to perceive polarization of light. It may be seen as a yellowish horizontal bar or bow-tie shape (with "fuzzy" ends, hence the name "brush") visible in the center of the visual field against the blue sky viewed while facing away from the sun, or on any bright background. It typically occupies roughly 3–5 degrees of vision, about twice or three times the width of one's thumb held at arm's length. The direction of light polarization is perpendicular to the yellow bar (i.e., vertical if the bar is horizontal). Fainter bluish or purplish areas may be visible between the yellow brushes (see illustration). Haidinger's brush may also be seen by looking at a white area on many LCD flat panel computer screens (due to the polarization effect of the display), in which case it is often diagonal.

Physiological causes of Haidinger's brush

Haidinger's brush is usually attributed to the dichroism of the xanthophyll pigment of the macula. In this effect due to the Fresnel laws, the unguided oblique rays in the cylindrical geometry of the foveal blue cones, along with their distribution, produce an extrinsic dichroism. The brush's size is consistent with the size of the macula. The macula's dichroism is thought to arise from some of its pigment molecules being arranged circularly. The small proportion of circularly arranged molecules accounts for the faintness of the phenomenon. Xanthophyll pigments tend to be parallel to visive nerves that, because the fovea is not flat, are almost orthogonal to the fovea in its central part while being nearly parallel in its outer region. As a result, two different areas of the fovea can be sensitive to two different degrees of polarization.

Seeing Haidinger's brush

File:Haidinger's Brush (as demonstrated on Wikipedia's main page).jpg

Simulated appearance of a computer screen viewed through a polarizer, showing typical size and intensity of Haidinger's brush

Many people find it difficult to see Haidinger's brush initially. It is very faint, much more so than generally indicated in illustrations, and, like other stabilized images, tends to appear and disappear.

It is most easily seen when it can be made to move. Since it is always positioned on the macula, there is no way to make it move laterally, but it can be made to rotate, by viewing a white surface through a rotating polarizer, or by slowly tilting one's head to one side.

To see Haidinger's brush, start by using a polarizer, such as a lens from a pair of polarizing sunglasses. Gaze at an evenly lit, textureless surface through the lens and rotate the polarizer.

An option is to use the polarizer built into a computer's LCD screen. Look at a white area on the screen, and slowly tilt the head (a CRT monitor has no polarizer, and will not work for this purpose unless a separate polarizer is used).

It appears with more distinctness against a blue background. With practice, it is possible to see it in the naturally polarized light of a blue sky. Minnaert recommends practicing first with a polarizer, then trying it without. The areas of the sky with the strongest polarization are those 90 degrees away from the sun. Minnaert says that after a minute of gazing at the sky, "a kind of marble effect will appear. This is followed shortly by Haidinger's brush." He comments that not all observers see it in the same way. Some see the yellow pattern as solid and the blue pattern as interrupted, as in the illustrations on this page. Some see the blue as solid and the yellow as interrupted, and some see it alternating between the two states.

Use of Haidinger's brush

The fact that the sensation of Haidinger's brush corresponds with the visual field correlate of the macula means that it can be utilised in training people to look at objects with their macula. People with certain types of strabismus may undergo an adaptation whereupon they look at the object of attention not with their fovea (at the centre of the macula) but with an eccentric region of the retina. This adaptation is known as eccentric fixation. To aid in training a person to look at an object with their fovea rather than their eccentric retinal zone, a training device can be used. One such apparatus utilises a rotating polarised plate backlit with a bright white light. Wearing blue spectacles (to enhance the Haidinger's brush image) and an occluder over the other eye, the user will hopefully notice the Haidinger's brush where their macula correlates with their visual field. The goal of the training is for the user to learn to look at the test object in such a way that the Haidinger's brush overlaps the test object (and the viewer is thus now looking at it with their fovea). The reason for such training is that the healthy fovea is far greater in its resolving power than any other part of the retina.

See also

• Floater
• Haidinger fringe
• Isolation tank
• Prisoner's cinema

Further reading

• W. Haidinger: Über das directe Erkennen des polarisirten Lichts und der Lage der Polarisationsebene. Poggendorfs Annalen, Bd. 63, 1844, S. 29-39 (Original communication at the Bibliothèque nationale de France.)
• W. Haidinger: Beobachtung der Lichtpolarisationsbündel im geradlinig polarisirten Lichte. Poggendorfs Annalen, Bd. 68, 1846 S. 73-87 (Original communication at the Bibliothèque nationale de France.)
• Fairbairn, Maxwell B. (2001). Physical Models of Haidingers Brush. Journal of the Royal Astronomical Society of Canada. 95, 248–251.
• Minnaert, M. G. J. (1993) Light and Color in the Outdoors. (translated by Len Seymour from the 1974 Dutch edition). ISBN 0-387-97935-2, Springer-Verlag, New York.
• Misson, G. P. (1993). "Form and behaviour of Haidinger's brushes." Ophthalmic and Physiological Optics 13(4): 392-396.
• Misson, G. P. (2003). "A Mueller matrix model of Haidinger's brushes." Ophthalmic and Physiological Optics 23: 441-447.
• William Shurcliff (1955) "Haidinger's Brushes and Circularly Polarized Light", Journal of the Optical Society of America 45(5):399.

External links

• How to see polarization with the naked eye