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Related Concept Videos

Reflective Property of Parabolas01:26

Reflective Property of Parabolas

A parabola is a basic type of conic section that results from the intersection of a plane with a double-napped cone in a direction parallel to one of the cone's sides. This U-shaped curve has a distinctive reflective property: all incoming rays parallel to its axis of symmetry are directed toward a single point, known as the focus. This property is widely utilized in optical and communication technologies that require precise signal concentration.In analytic geometry, a parabola is defined as...
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

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...
Geometry of Hyperbolas01:30

Geometry of Hyperbolas

A hyperbola consists of all points where the absolute difference of distances to two fixed points, called foci, remains constant. The standard equation isEach branch extends infinitely and approaches two asymptotes, which guide the curve’s behavior. The parameters a and b define key features: a measures the distance from the center to each vertex along the transverse axis, while b influences the slopes of the asymptotes. The asymptotes have equationsA rectangle centered at the origin with...
Attenuated Total Reflectance (ATR) Infrared Spectroscopy: Overview01:13

Attenuated Total Reflectance (ATR) Infrared Spectroscopy: Overview

Attenuated total reflectance (ATR) infrared spectroscopy is a powerful analytical technique used to study the composition of materials. It is widely employed in chemistry, materials science, forensic science, and other fields where sample characterization is required. ATR has several advantages over traditional transmission IR spectroscopy, including the requirement of little to no sample preparation and the ability to analyze a wide range of samples.
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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,...
Radiation: Applications01:17

Radiation: Applications

The average temperature of Earth is the subject of much current discussion. Earth is in radiative contact with both the Sun and dark space; it receives almost all its energy from the radiation of the Sun and reflects some of it into outer space. Dark space is very cold, about 3 K, so Earth radiates energy into it. For instance, heat transfer occurs from soil and grasses, the rate of which can be so rapid that frost can occur on clear summer evenings, even in warm latitudes.
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Related Experiment Video

Updated: Jun 12, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

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Published on: August 12, 2013

Gaussian reflectivity mirror with an absorbing lens.

J S Uppal, R G Harrison

    Applied Optics
    |June 16, 2010
    PubMed
    Summary

    Researchers developed a simple method to create Gaussian reflectivity mirrors using an absorbing lens. The study analyzed the efficiency of unstable resonators employing these novel Gaussian mirrors as output couplers.

    Area of Science:

    • Optics and Photonics
    • Laser Physics

    Background:

    • Gaussian reflectivity mirrors are crucial optical components in laser resonators.
    • Unstable resonators offer advantages in high-gain laser systems but require specific output coupling strategies.

    Purpose of the Study:

    • To introduce a straightforward technique for fabricating Gaussian reflectivity mirrors.
    • To evaluate the performance and efficiency of unstable resonators utilizing these mirrors as output couplers.

    Main Methods:

    • A simple method employing an absorbing lens to generate a Gaussian reflectivity profile on a mirror surface.
    • Analysis of the efficiency of an unstable resonator configuration incorporating the fabricated Gaussian mirror as the output coupler.

    Main Results:

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  • Successful generation of a Gaussian reflectivity mirror using a cost-effective absorbing lens method.
  • Quantification of the resonator efficiency, demonstrating the viability of Gaussian mirrors in unstable resonator designs.
  • Conclusions:

    • The absorbing lens method provides a simple and effective way to produce Gaussian reflectivity mirrors.
    • Gaussian mirrors are suitable for use as output couplers in unstable resonators, impacting laser efficiency.