GEOMETRICAL OPTICS: Focal Length and the Index of Refraction

Q: A thin spherical planar-convex lens is surrounded by air: The lens has a radius of curvature ( R2 ) of 50mm and a refractive index ( n1 ) of 1.50. Determine the focal length. Additionally, what will happen to the lens’ focal length if it is placed within a watery medium instead of airContinue reading “GEOMETRICAL OPTICS: Focal Length and the Index of Refraction”

GEOMETRICAL OPTICS: Thin Lens Equation Derivation

Of all the various equation derivations one may encounter as an introductory physics student, the ones regarding ray diagrams are as counterintuitive as any. Whether a system at hand consists of thin lenses or mirrors, radiant energy is diagrammed as rays for the sake of simplicity. Never, ever forget that these diagrams are grossly oversimplifiedContinue reading “GEOMETRICAL OPTICS: Thin Lens Equation Derivation”

GEOMETRICAL OPTICS: Thin Convex Lenses

Spherical wavefronts of radiation emanate from point sources of light. As the electromagnetic wavefront expands, it carries energy and momentum that become more dispersed as the wavefront gets larger. If the distance between a light source and detector ( such as the human eye ) is infinite, the light detector will intercept a small componentContinue reading “GEOMETRICAL OPTICS: Thin Convex Lenses”