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  2. Thin lens - Wikipedia

    en.wikipedia.org/wiki/Thin_lens

    A lens may be considered a thin lens if its thickness is much less than the radii of curvature of its surfaces (d ≪ | R 1 | and d ≪ | R 2 |).. In optics, a thin lens is a lens with a thickness (distance along the optical axis between the two surfaces of the lens) that is negligible compared to the radii of curvature of the lens surfaces.

  3. Lens - Wikipedia

    en.wikipedia.org/wiki/Lens

    For a thin lens in air, the distance from the lens to the spot is the focal length of the lens, which is commonly represented by f in diagrams and equations. An extended hemispherical lens is a special type of plano-convex lens, in which the lens's curved surface is a full hemisphere and the lens is much thicker than the radius of curvature.

  4. Focal length - Wikipedia

    en.wikipedia.org/wiki/Focal_length

    For a thin lens in air, the focal length is the distance from the center of the lens to the principal foci (or focal points) of the lens.For a converging lens (for example a convex lens), the focal length is positive and is the distance at which a beam of collimated light will be focused to a single spot.

  5. Cardinal point (optics) - Wikipedia

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

    A diagram showing the optical center of a spherical lens. N and N' are the lens nodal points. The optical center of a spherical lens is a point such that If a ray passes through it, then its lens-exiting angle with respect to the optical axis is not deviated from the lens-entering angle.

  6. Geometrical optics - Wikipedia

    en.wikipedia.org/wiki/Geometrical_optics

    A ray tracing diagram for a simple converging lens. A device which produces converging or diverging light rays due to refraction is known as a lens. Thin lenses produce focal points on either side that can be modeled using the lensmaker's equation. [5]

  7. Gaussian beam - Wikipedia

    en.wikipedia.org/wiki/Gaussian_beam

    A diagram of a gaussian beam passing through a lens. When a gaussian beam propagates through a thin lens , the outgoing beam is also a (different) gaussian beam, provided that the beam travels along the cylindrical symmetry axis of the lens, and that the lens is larger than the width of the beam.

  8. Magnification - Wikipedia

    en.wikipedia.org/wiki/Magnification

    The linear magnification of a thin lens is M = f f − d o = − f x o {\displaystyle M={f \over f-d_{\mathrm {o} }}=-{\frac {f}{x_{o}}}} where f {\textstyle f} is the focal length , d o {\textstyle d_{\mathrm {o} }} is the distance from the lens to the object, and x 0 = d 0 − f {\textstyle x_{0}=d_{0}-f} as the distance of the object with ...

  9. Chromatic aberration - Wikipedia

    en.wikipedia.org/wiki/Chromatic_aberration

    where V 1 and V 2 are the Abbe numbers of the materials of the first and second lenses, respectively. Since Abbe numbers are positive, one of the focal lengths must be negative, i.e., a diverging lens, for the condition to be met. The overall focal length of the doublet f is given by the standard formula for thin lenses in contact:

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