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mirage inferieur .pdf


Nom original: mirage inferieur.pdf
Titre: mirage inferieur

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OBJECT

Direct lights from the object

How an inferior mirage happen ?

(It’s obvious in the definition of an inferior mirage that the observer can always see the direct lights from the object.
But apparently it’s not obvious for everyone so that’s why I made those drawing)

which bends due to the air density,
and which create the inferior mirage phenomenon.

more the lights come closer to the ground,
more the temperature is hot,
more the air density is bigger,
more the refractive index is smaller,
more the lights are bending.

(those lights are obviously not the same lights than the «direct lights» from the object !)

CAMERA
(the observer)

(Normally, the lights are bending due to the air density with a very very small angle,
but to not have a drawing which measures many kilometers,
I've used angles of 1° to 5° for bending the lights)

X°C

N1

X+1
X+2
X+3
X+4
X+5

N2<N1
N3<N2
N4<N3
N5<N4
N6<N5

TEMPS REFRACTION
INDEX

D1
D2>D1
D3>D2
D4>D3
D5>D4
D6>D5

B
B+1°
B+2°
B+3°
B+4°
B+5°

AIR
DENSITY

BENDING
OF LIGHTS
B=180°

175°

B+5=185°

Rays of lights from the sky,
which become horizontal due to the refraction.
And so, all those lights,
which come from a bigger angle,
will end in the ground.
(so they are not visible by the observer !)

X°C

N1

X+1
X+2
X+3
X+4
X+5

N2<N1
N3<N2
N4<N3
N5<N4
N6<N5

TEMPS REFRACTION
INDEX

D1
D2>D1
D3>D2
D4>D3
D5>D4
D6>D5

B
B+1°
B+2°
B+3°
B+4°
B+5°

AIR
DENSITY

BENDING
OF LIGHTS
B=180°

175°

B+5=185°

Rays of lights from the sky,
which pass between the observer and the ground.

And so, all those lights,
which come from a bigger angle,
will pass below the camera.
(so they are also not visible by the observer !)

X°C

N1

X+1
X+2
X+3
X+4
X+5

N2<N1
N3<N2
N4<N3
N5<N4
N6<N5

TEMPS REFRACTION
INDEX

Other lights from the object

D1
D2>D1
D3>D2
D4>D3
D5>D4
D6>D5

B
B+1°
B+2°
B+3°
B+4°
B+5°

AIR
DENSITY

BENDING
OF LIGHTS
B=180°

B+5=185°

175°

This ray of lights from the sky,
is the one which can be the highest ray of lights
that the observer would see.
(A ray of lights from the sky with a bigger or a smaller angle will be less curved)

And so, all those lights,
which come from a smaller angle,
will pass below the direct lights of the object.
X°C

N1

X+1
X+2
X+3
X+4
X+5

N2<N1
N3<N2
N4<N3
N5<N4
N6<N5

TEMPS REFRACTION
INDEX

D1
D2>D1
D3>D2
D4>D3
D5>D4
D6>D5

B
B+1°
B+2°
B+3°
B+4°
B+5°

AIR
DENSITY

BENDING
OF LIGHTS
B=180°

175°

B+5=185°

In case you won’t believe that from the previous angle,
all the rays of lights with a lesser angle will have a lesser bending;
This show one of this ray of lights.

X°C

N1

X+1
X+2
X+3
X+4
X+5

N2<N1
N3<N2
N4<N3
N5<N4
N6<N5

TEMPS REFRACTION
INDEX

D1
D2>D1
D3>D2
D4>D3
D5>D4
D6>D5

B
B+1°
B+2°
B+3°
B+4°
B+5°

AIR
DENSITY

BENDING
OF LIGHTS
B=180°

175°

B+5=185°

Here, it show where the rays of lights should come from,
to be able to hide the object from the observer view.

As we can see,
the lights from the sky
must pass across the object,
for being able to hiding it
from the observer view.

X°C

N1

X+1
X+2
X+3
X+4
X+5

N2<N1
N3<N2
N4<N3
N5<N4
N6<N5

TEMPS REFRACTION
INDEX

D1
D2>D1
D3>D2
D4>D3
D5>D4
D6>D5

B
B+1°
B+2°
B+3°
B+4°
B+5°

AIR
DENSITY

BENDING
OF LIGHTS
B=180°

B+5=185°

175°

Conclusion :
The obvious fact that a ray of light can’t pass throught an opaque object;
Implies that the lights from the sky that bends due to refraction and which cause the "inferior mirage" phenomens,
can not hide an opaque object to the observer view.


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