Of course it does exist.
It’s a “light amplification by stimulated emission of radiation” device better known as laser.
Although it can’t be used to amplify the light field in its entirety.
I know about lasers. I meant the entire waveform. Vacuum tubes do that for electricity. It seems the only similar method is to use a lens, a smaller sensor, and hopefully the initial light is bright enough so when it's miniaturized, it does the chemical/electrical work necessary on the film or sensor. Film negatives already uses this concept - taking ordinary light and increasing its power by minifying it over a smaller surface area.
A laser can amplify only a very specific frequency and it will lose all the color information.
At that point it won’t be analog light amplification given that the output light won’t have any of the characteristics of the input.