Beautiful black and blue butterflies
by Jonathan Sarfati
Iridescent blue
Figure 1. Left: morpho butterfly multilayer structure
under microscope. Right: how light reflects from different surfaces. After
Interference in multilayers, Exeter University, 25 January 2005.
Some butterflies have the most striking iridescent blue wings, such as the blue
morpho (Morpho menelaus) of South America and the male mountain blue don
(Papilio ulysses) of northern Australia.1
How is this striking blue produced? It was long known that the blue was not produced
by a pigment, but by some optical effects.
In 2001, Pete Vukusic of the University of Exeter found that the blueness in butterflies
is caused by optical interference.2
The scales have multilayering that reflects light waves so that they travel different
distances (see fig. 1, right). The point is that with some wavelengths, the light
reflected from top and bottom surface will have a travel distance of a whole number
of wavelengths, so the crests align with other crests (see fig. 2).
This is called constructive interference, and makes this colour (blue in
this butterfly) much brighter and purer (see fig. 3). To produce
a particular colour, the layer thickness must be accurate to within about 0.05 µm.
The opposite is destructive interference, where the wave crests align with
troughs, cancelling each other out (fig. 4).
Scientists learn from ‘nature’
Figure 2. If the difference in path length of the reflected ray
is a whole number of a particular wavelength, then constructive interference (see
fig. 3) will occur for that wavelength—that is, if the thickness d satisfies the
formula mλ = 2ndcosθI , where m is the order of diffraction,
n the refractive index, λ the wavelength in air, and θI
the angle of incidence. After
Interference in multilayers, Exeter University, 25 January 2005.
Sometimes different colours can be seen from interference, depending on the angle.
That is, at a shallower angle, the difference in path length becomes greater, so
higher wavelengths constructively interfere. Thus, ordinary diffraction gratings
produce pretty rainbow effects but not pure colours. But the butterfly wing has
now inspired imitation structures that appear intensely blue from a wide range of
angles. Mool Gupta, director of the Applied Research Center at Old Dominion University
in Virginia, US, said:
‘We started examining butterfly wings using electron microscopy and we learned
how complex the structures are and difficult to fabricate. So we came up with a
new approach of using micro-gratings with random orientation as a means to achieve
colour with a wider viewing angle.’3
So they made a honey-comb–like array of tiny hexagons, each of which had diffraction
gratings with the grooves in different directions (see fig. 5, below).
They used a technique called electron beam lithography (EBL). The result was a structure
that looked blue from a viewing range of 16–90°.4
In future, these new techniques could be used in display devices, and to replace
paints for coating surfaces, thereby producing better colours. They would avoid
the problems of chemical waste in production of pigments and dyes.5
Blue budgies
The bright blue colour of some budgie feathers is also due to interference. But
in this case it’s caused by the spongy structure of the keratin, the protein
that feathers (and skin and nails) are made of.6
The dazzling colours of the peacock tail are also caused by interference.7

Figure 3. Constructive interference. When two waves are in phase,
i.e. the crests line up with crests and the troughs line up with troughs, their
intensities reinforce each other. The bottom wave with the greater amplitude is
the result.
Figure 4. Destructive interference. When two waves are totally
out of phase, i.e. the crests line up with troughs, they cancel each other out.
The bottom line, with no wave at all, is the result.
Blacker than black
Black pigments appear black because they absorb all frequencies of visible light.
However, this is not perfect, and some light scatters back. A notable example is
the moon—it looks bright silvery-white from Earth, but its surface largely
comprises the black rock basalt.
A well-known experiment can demonstrate the imperfection of black paints. Take an
enclosed cardboard shoebox and paint it the blackest black possible. Then cut a
small hole in it, 1–2 mm. This hole should appear far blacker than even the
blackest paint. While the paint scatters some light back, light entering the hole
hardly ever escapes. Indeed, that’s why the pupil of the eye is so black—it’s
a hole to let light in, and it doesn’t get out again.
More recently, Dr Vukusic has shown that the black outline of the blue don is also
caused by an optical light-trapping design.8
This special blackness is almost twice that which could be achieved by pigment alone,
and causes the bright blue to stand out even more. The scales are covered in tiny
pits, about a micron across, that form a honeycomb-like array.9 These scales have a high refractive index, so they take
advantage of total internal reflection. That is, the light enters the material,
but whenever the light meets another part of the surface, instead of crossing, it
is reflected back into the material. (Optical fibres work that way, including the
natural ones of the Venus flower basket sponge.10)
Since hardly any light can escape from the wings into the eyes, they appear very
black.
Removing the refractive effect
Dr Vukusic’s success in working out the blue don’s light-trapping design
came about because he wanted to see what would happen if he could somehow remove
the refractive effect. But how can one remove that effect?
Figure 5. Artificial butterfly colour. The grooves in each hexagon
are 125 nm deep and 220 nm wide. After Mool Gupta,
Grating Structure, 25 January 2005.
Light refraction (i.e. change of direction) and reflection can occur at surfaces
between substances where the speed of light inside each substance is different,
e.g. light travels more slowly through water than through air, so water’s
refractive index is higher.11 This is why, when one immerses a straight stick into
a swimming pool, it looks ‘bent’ at the surface of the water. If the
different substances have the same index, then the light behaves as if it is not
changing between substances at all, so there is little reflection or refraction.
This can be demonstrated with a pane of frosted glass. This is deliberately made
with a rough surface so that light scatters in all directions at the glass–air
interface, making a clear image impossible. However, an image IS possible if this
scattering can be eliminated. One way is to smear a viscous liquid with about the
same refractive index as glass onto the frosted glass, then cover it with smooth
glass. With hardly any reflection or refraction from the frosted glass surface into
the liquid, it is now possible to see a clear image through it. Dr Vukusic applied
the same principle to the butterfly. He immersed the wings in bromoform (CHBr3),
which has about the same refractive index as the wing tissue. As a result, the wings
could only absorb just over 50% of the light, while in air, they absorbed over 90%.
More biomimetics
Biomimetics is growing in popularity. Wherever we can we should take cues from nature.
The chemical engineer Richard Brown of Britain’s National Physical Laboratory
in Teddington, near London, has used this principle to make ‘Super Black’.
This is a nickel-phosphorus alloy coating with pits that also exploit light refraction.
This absorbs 99.7% of the light.
This is yet another example of how the design in nature has inspired human engineers.
Dr Vukusic says, ‘Biomimetics is growing in popularity. Wherever we can we
should take cues from nature.’ What this really should mean is copying the
genius of the Creator of nature.
Related articles
References
- Cardno, S. and
Wieland, C., Mr Butterflies, Creation
19(2):44–46, 1997. Return to text.
- Vukusic, P., Sambles, R., Lawrence, C. and Wakely, G., Sculpted-multilayer
optical effects in two species of Papilio butterfly, Applied Optics
40(7):1116–1125, 2001. Return to text.
- Graydon, O.,
Blue microstructures mimic nature, Optics.org, 8 December 2003.
Return to text.
- Wong, T.-H., Gupta, M.C., Robins, B. and Levendusky, T.L., Color
generation in butterfly wings and fabrication of such structures, Optics Letters
28(23)2342–2344, 2003. Return to text.
- Lerner, E.J., Butterfly blues, The Industrial Physicist,
<www.tipmagazine.com/tip/INPHFA/vol-10/iss-2/p8.html>, Briefs, April 2004.
Return to text.
- Prum, R.O., Torres R.H., Williamson S. and Dyck J., Coherent light
scattering by blue feather barbs, Nature 396(6706):28–29,
1998; Two-dimensional fourier analyses of the spongy medullary keratin of structurally
coloured feather barbs, Proceedings of the Royal Society London B 266:13–22,
1999. Return to text.
- Burgess, S., The beauty of the peacock
tail and the problems with the theory of sexual selection, Journal of Creation
15(2)94–102, 2001. Return to text.
- Butterflies plumb the depths of blackness with a trick of the light,
New Scientist 181(2433):18, 2004. Return to
text.
- Hopkin, M.,
Butterflies boast ultrablack wings: Insects use optical trick to get the blackest
black out of dark pigments, Nature science update, 28 January 2004.
Return to text.
- Sarfati, J., Fantastic fibre-optics: Sponge’s
super spicules, Creation 26(2):52, 2004.
Return to text.
- The refractive index (n) of a substance is given by n = c/v, where
c is the speed of light in a vacuum, and v the speed of light in the substance.
Return to text.
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