Parallel mirrors. Forming infinite images between parallel mirrors

By handling two plane mirrors, we can obtain the formation of images through the association of mirrors. If we place two plane mirrors forming a 90º angle between them, we will obtain the formation of three images. As the angle between them decreases, the number of images formed increases.
When we put these mirrors face to face we can see infinite images being formed. But how are these images formed when the mirrors are placed in parallel?
The figure below shows us this particular case where the mirrors are arranged in parallel.

Imaging in parallel mirrors
Imaging in parallel mirrors

The image formed from F in relation to the mirrorAND is the point I1. This image becomes the object for the mirror AND, then producing the image I2, which will be the object for the mirror AND, and so on. Likewise, the image of F in relation to the mirror AND'is the point I3, which will function as an object for AND, producing the imageI4, and so on. In this way, infinite images, as we can see in the figure below.

Infinite images formed between two parallel mirrors
Iinfinite images formed between two parallel mirrors

Now let's look at a special parallel mirror situation where the object is not between the mirrors. For that, let's check out a rudimentary periscope. With it, the viewer can see the image A’B’ of an object AB which is above him. We can verify that the image is right.

Periscope
Periscope

Periscopes are used in submarines, and are a little more complex systems, consisting of several lenses and prisms instead of mirrors. As seen in the figure above, using two small mirrors and cardboard, we can build a homemade periscope.

By Domitiano Marques
Graduated in Physics
Brazil School Team

Source: Brazil School - https://brasilescola.uol.com.br/fisica/espelhos-paralelos.htm

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