Optics – How Does a Rainbow Show All of Its Colors?

dispersiongeometric-opticsopticsreflectionrefraction

My question is tied closely to this one, asked a while back on the website. As far as my understanding goes, a rainbow is formed by sunlight undergoing two refractions and a reflection inside individual water drops, and then falling on our eyes. An upper drop disperses red light the most, angling it towards our eyes and a lower drop similarly angles the less dispersed violet light towards us, after reflection. However, the way it looks to me is that there's no room for any of the other colours to fill the gap between the red and violet light. That pattern seems to read

vibgyo R V ibgyor

from top to bottom, the bold letter indicating the colours seen upon reflection by us. So where do the other colours come into play here? Also, does this pattern indicate that upon moving up in the vertical direction, we would begin to see the rainbow invert its colours?

Picture from above linked question

Best Answer

The diagram produced in the question has a couple of errors and almost answers the question.

enter image description here

To a very good approximation the rays coming from the Sun are approximately parallel and the reflection from the raindrop is not the result of total internal reflection.

The important things to note is that a rainbow as a result of the reflection and refraction due to many raindrops and only the light rays entering the eye produce an image of a rainbow on the retina.

enter image description here

Note the cones of rays which do not enter the eye.

This last image is to emphasise the points about many raindrops producing a rainbow and only the light entering the eye is detected by the eye.

enter image description here

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