Visual Illusions: Their Causes, Characteristics and ApplicationsLuckiesh, Matthew
Science
Visual Illusions: Their Causes, Characteristics and Applications
Luckiesh, Matthew
Optical illusions
Having considered low visibility of aircraft as viewed from above and from
below, respectively, it is of interest to discuss briefly the possibility
of attaining both of these simultaneously with a given airplane. Frankly,
it is not practicable to do this. An airplane to be of low visibility
against the earth background must be painted or dyed very dark shades of
appropriate color and pattern. This renders it almost opaque and it will
be a very dark object when viewed against the sky. If the lower surfaces
of the airplane are painted as white as possible the airplane still
remains a dark object against the blue sky and a very dark object against
an overcast sky, except at high altitudes. In the latter cases the
contrast is not as great as already explained. A practicable method of
decreasing the visibility of airplanes at present as viewed from below is
to increase the brightness by the diffuse transmission of direct sun-light
on clear days. On overcast days clouds and haze must be depended upon to
screen the craft.
In considering these aspects it is well to recall that the two sources of
light are the sun and the sky. Assuming the sun to contribute 80 per cent
of the total light which reaches the upper side of an opaque horizontal
diffusing surface at midday at the earth and assuming the sky to be
cloudless and uniform in brightness, then the brightness of the horizontal
upper surface will equal 5 _RB_, where _R_ is the reflection-factor of the
surface and _B_ is the brightness (different in the two cases) of the sky.
On a uniformly overcast day the brightness of the surface would be equal
to _RB_. Now assuming _R{e}_ to be the mean reflection-factor of the
earth, then the lower side of a horizontal opaque surface suspended in the
air would receive light in proportion to _R{e}B_. If this lower surface
were a perfect mirror or a perfectly reflecting and diffusing surface its
brightness would equal 5 _R{e}B_ on the sunny day and _R{e}B_ on the
overcast day where _B_ is the value (different in the two cases) of the
brightness of the uniform sky. The surface can never be a perfect
reflector, so on an overcast day its brightness will be a fraction
(_RR{e}_) of the brightness _B_ of the uniform sky. Inasmuch as _R{e}_
is a very small value it is seen that low visibility of airplanes as
viewed from below generally cannot be attained on an overcast day. It can
be approached on a sunny day and even realized by adopting the expedient
already mentioned. Further computations are to be found elsewhere.[12]
Public-domain text, read in full here on John Shaqi.
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