One type of lens that is preferred by many is called an aplanatic lens. A loupe with an aplanatic lens looks pretty much like any loupe. But an aplanatic lens is more money. The benefit with these lenses is lack of distortion of the image for the full breadth of field. Many lenses give sharp focus at the center of the lens, but less sharp around the perimeter of the image. Aplanatic lenses solve that problem. Gemologists often use aplanatic lenses in their work.
A good example of distortion created by a lens that is not aplanatic is an image earlier in this thread. Notice how the centre of the image is well focussed, while the perimeter is blurred.
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