Lenses exploit the refraction of light to manipulate wavefronts, utilizing convex (converging) and concave (diverging) geometries to form images. Mastery requires the construction of precise ray diagrams to determine image nature—real or virtual, upright or inverted, magnified or diminished—based on object placement relative to the principal focus. Quantitative assessment involves the application of the magnification formula and the Gaussian lens formula to predict image position and size. These principles underpin the function of optical systems, including the human eye, cameras, and corrective vision technologies.
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