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  2. Focal length - Wikipedia

    en.wikipedia.org/wiki/Focal_length

    For a spherically-curved mirror in air, the magnitude of the focal length is equal to the radius of curvature of the mirror divided by two. The focal length is negative for a concave mirror, and positive for a convex mirror. In the sign convention used in optical design, a concave mirror has negative radius of curvature, so

  3. Radius of curvature (optics) - Wikipedia

    en.wikipedia.org/wiki/Radius_of_curvature_(optics)

    Radius of curvature sign convention for optical design. Radius of curvature (ROC) has specific meaning and sign convention in optical design. A spherical lens or mirror surface has a center of curvature located either along or decentered from the system local optical axis. The vertex of the lens surface is located on the local optical axis.

  4. Thin lens - Wikipedia

    en.wikipedia.org/wiki/Thin_lens

    The focal length, f, of a lens in air is given by the lensmaker's equation: = [+ ()], where n is the index of refraction of the lens material, and R 1 and R 2 are the radii of curvature of the two surfaces.

  5. Parabola - Wikipedia

    en.wikipedia.org/wiki/Parabola

    The radius of curvature at the origin, which is the vertex of the parabola, is twice the focal length. Corollary A concave mirror that is a small segment of a sphere behaves approximately like a parabolic mirror, focusing parallel light to a point midway between the centre and the surface of the sphere.

  6. List of optics equations - Wikipedia

    en.wikipedia.org/wiki/List_of_optics_equations

    Curvature radius of lens/mirror r, R: m [L] Focal length f: m [L] Quantity (common name/s) (Common) symbol/s Defining equation SI units Dimension

  7. Radius of curvature - Wikipedia

    en.wikipedia.org/wiki/Radius_of_curvature

    Radius of curvature and center of curvature. In differential geometry, the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or ...

  8. Lens - Wikipedia

    en.wikipedia.org/wiki/Lens

    The focal length is with respect ... The reciprocal of the radius of curvature is called the curvature. A flat surface has zero curvature, and its radius of curvature ...

  9. Curved mirror - Wikipedia

    en.wikipedia.org/wiki/Curved_mirror

    A convex mirror diagram showing the focus, focal length, centre of curvature, principal axis, etc. A convex mirror or diverging mirror is a curved mirror in which the reflective surface bulges towards the light source. [1]