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Related Concept Videos

Gauss's Law01:07

Gauss's Law

If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
Elastic Curve from the Load Distribution01:16

Elastic Curve from the Load Distribution

The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
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Histogram01:05

Histogram

The histogram is a graphical representation in the x-y form of data distribution in a data set. The horizontal x-axis is labeled with what the data represents (for instance, distance from your home to school). The vertical y-axis is labeled either frequency or relative frequency (or percent frequency or probability).
A histogram graph consists of contiguous (adjoining) boxes. The heights of the bars correspond to frequency values. The graph will have the same shape with respective labels. The...
Bode Plots01:26

Bode Plots

Bode plots are graphical tools that use logarithmic scales for frequency on the x-axis and gain in decibels on the y-axis. This logarithmic method allows a wide range of frequencies to be compactly displayed, enabling the analysis of component effects on circuit behavior across a broad frequency spectrum.
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Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these areas.
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,...

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Related Experiment Video

Updated: Jun 17, 2026

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

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

Published on: August 12, 2013

A logarithmic Gaussian beam chart.

G Seifert1

  • 1Institut für Hochfrequenztechnik,Technische Hochschule, 33 Braunschweig, Germany.

Applied Optics
|January 12, 2010
PubMed
Summary
This summary is machine-generated.

Graphical solutions for Gaussian laser beam propagation and matching problems are simplified using Gaussian beam charts. This paper introduces a logarithmic version, expanding the chart's applicability to a wider range of scenarios.

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Last Updated: Jun 17, 2026

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Area of Science:

  • Optics and Photonics
  • Laser Physics

Background:

  • Gaussian beam charts offer graphical solutions for laser beam propagation and matching.
  • Existing charts have limitations in the range of parameters they can cover.

Purpose of the Study:

  • To introduce a logarithmic version of the Gaussian beam chart.
  • To extend the graphical analysis capabilities for Gaussian laser beams over a wider region.

Main Methods:

  • Development of a logarithmic scale for Gaussian beam chart parameters.
  • Graphical analysis of laser beam propagation and matching using the new chart.

Main Results:

  • The logarithmic Gaussian beam chart effectively covers a significantly wider parameter space.
  • Enables graphical solutions for problems previously outside the scope of standard charts.

Conclusions:

  • The logarithmic Gaussian beam chart is a valuable tool for optical engineers and researchers.
  • Provides enhanced graphical capabilities for analyzing Gaussian beam propagation and matching.