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The behavior of light that enables optical lenses to magnify images is called refraction. refraction is the bending of light. This happens when light enters a medium with a different "index of refraction." Index of refraction is a property of a material that measures how much the material's electric and magnetic fields interfere with light (which is an electromagnetic wave). This interference slows light down. The way I understand it, the front of the way slows down before the back of the wave, causing it to change trajectory like a bullet in water. The change in trajectory is a property of the geometry of the system of lenses which include the magnifying lens, lenses in your eye, and the object being magnified. You can find diagrams online of how this works.

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