Related Experiment Video
Updated: Nov 10, 2025
12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
22.1K
Least-squares ray mapping method for freeform illumination optics design: erratum.
Optics Express
|April 6, 2021
Summary
This paper corrects the author list and specific equations (12 and 13) from a previous publication in Optics Express. These corrections ensure accuracy in the cited scientific work.
Area of Science:
- Optics and Photonics
- Scientific Publishing
Background:
- Accurate scientific records are crucial for research reproducibility.
- Previous publication requires author and equation corrections.
Purpose of the Study:
- To formally correct the author list.
- To rectify mathematical equations (12 and 13).
Main Methods:
- Review of the original publication.
- Identification of specific errors in author attribution and equations.
Main Results:
- Corrected author list provided.
- Corrected versions of Eq. (12) and (13) presented.
Conclusions:
- Ensured accuracy of the scientific record.
- Facilitated correct citation and understanding of the prior work.
More Related Videos
Related Concept Videos
01:16Focusing of Light in the Eye
3.8K
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...
3.8K
01:26Gauss's Law: Spherical Symmetry
8.5K
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...
8.5K
01:20Gauss's Law: Cylindrical Symmetry
8.7K
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,...
8.7K
01:21Deformations in a Transverse Cross Section
411
When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
411
01:23Design of Prismatic Beams for Bending
488
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
488
01:27Gauss's Law: Planar Symmetry
8.9K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
8.9K