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Related Concept Videos

Focusing of Light in the Eye01:16

Focusing of Light in the Eye

Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
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A conic section can be defined in polar coordinates as the set of all points whose distance from a fixed point, known as the focus, bears a constant ratio to their distance from a fixed line, known as the directrix. This constant ratio is called the eccentricity. This definition unifies all types of conic sections—ellipses, parabolas, and hyperbolas—under a single framework. When the focus is positioned at the origin of the polar coordinate system, a single polar equation can describe any conic...
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
Cylinders in Three-Dimensional Space01:28

Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
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A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has a uniform...
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Related Experiment Video

Updated: Jun 22, 2026

Sequential Application of Glass Coverslips to Assess the Compressive Stiffness of the Mouse Lens: Strain and Morphometric Analyses
07:56

Sequential Application of Glass Coverslips to Assess the Compressive Stiffness of the Mouse Lens: Strain and Morphometric Analyses

Published on: May 3, 2016

Fractal conical lenses.

Juan A Monsoriu, Walter D Furlan, Pedro Andrés

    Optics Express
    |June 17, 2009
    PubMed
    Summary

    Researchers introduce the fractal conical lens (FCL), a novel optical device. This general optical element, derived from the Cantor function, creates unique fractal focal segments, expanding on traditional conical lenses.

    Area of Science:

    • Optics and Photonics
    • Fractal Geometry

    Background:

    • Traditional conical lenses create continuous focal segments along the optical axis.
    • A need exists for more generalized optical elements with complex focal properties.

    Purpose of the Study:

    • Introduce a generalized optical device: the fractal conical lens (FCL).
    • Demonstrate that classical conical lenses are a specific instance of FCLs.
    • Analyze the focal properties and axial irradiance of FCLs.

    Main Methods:

    • Utilize the Cantor function to generate the profile of the fractal conical lens.
    • Investigate the optical behavior of FCLs through theoretical analysis.
    • Examine the influence of the Fresnel number on axial irradiance.

    Main Results:

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    Last Updated: Jun 22, 2026

    Sequential Application of Glass Coverslips to Assess the Compressive Stiffness of the Mouse Lens: Strain and Morphometric Analyses
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    Published on: May 3, 2016

    Whole Mount Imaging to Visualize and Quantify Peripheral Lens Structure, Cell Morphology, and Organization
    05:45

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    Published on: January 19, 2024

    • The fractal conical lens (FCL) is presented as a generalization of the classical conical lens.
    • FCLs produce distinct fractal focal segments along the optical axis.
    • The Fresnel number significantly impacts the axial irradiance distribution of FCLs.

    Conclusions:

    • Fractal conical lenses offer a new class of optical elements with tunable focal characteristics.
    • The Cantor function provides a basis for designing complex optical surfaces.
    • Further research into FCLs could lead to advanced optical system designs.