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: Object and Image Focal Points and Focal Lengths

When we evaluate systems that contain thin lenses, several parameters within the system may be of interest to us. At times, the distances that separate the object ( do ) and image ( di ) from a lens at hand are related to the physical dimensions of the lens itself by the Thin-Lens Equation, alsoContinue reading “GEOMETRICAL OPTICS: Object and Image Focal Points and Focal Lengths”

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”