What can I say about this dentist light lens?

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The discussion revolves around a dental device that utilizes a concave surface and rectangular mirrors to manage light. The user expresses concern about the device rather than their dental health, seeking clarification on its function. It is explained that the device is designed to provide uniform illumination, particularly when using small, high-intensity light sources like halogen or LED. The mirrors are oriented to minimize shadows and bright spots, effectively concentrating light to enhance visibility during dental procedures. The conversation touches on concepts from optics, including parabolic projections and the properties of hyperbolas, emphasizing that the device aims to maximize brightness while minimizing energy costs.
mcastillo356
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Hi PF

I've been twice to the dentist recently, and I've taken this picture. I don't find it in Google, and I know nothing about optics, but some words that appear at the textbook I'm now studying seem to be related: concavity, reflection, parabole...In few words, I'm more concerned about this device than about my teeth's health. What does suggest this image to you?.
I will describe it: at the center there are two lights, on both sides, hidden at the picture, that head to a concave surface; this concave surface is provided with rectangular mirrors. I've asked the dentist: does it concentrate the light at a certain point? She's kept doing her work (clean them) and told, "it helps". But let me take the picture.

What should I know? I am studying the textbook "Calculus", by Robert A. Adams. I've posted at the Lounge, because I just want to relate it with the book I´m reading, and my book is not about optics.

Regards
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mcastillo356 said:
does it concentrate the light at a certain point?
Not exactly. These are often used when the source of the light is some small, high intensity 'point' like halogen or LED sources. Any conventional mirror would create disturbing shadows and bright spots.
Those facets are oriented so that the whole area of interest will be ~ uniformly illuminated.
 
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Can I state these?
It is a parabolic projection
It is based on hiperbolas properties (hiperbola: type of curve that is made up of two curves that are not connected)
It is just a set of reflections
The concavity is fragmented (in a part that combines with other parts)
The purpose is to lead or send light to a specific distance from the two sources
The two sources of light are ment to perform more brightness whith less cost
 
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