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: Positive and Negative Sign Conventions

In order for the Thin-Lens Equation and similar derivations to mathematically represent thin-lens systems, sign conventions must be assigned to the physical parameters encountered within optical systems that are modeled. In some circumstances, relationships between the height of an object ( ho ) or image ( hi ) are related to the distances ( doContinue reading “GEOMETRICAL OPTICS: Positive and Negative Sign Conventions”

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”