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相关概念视频

Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

9.3K
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...
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Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

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The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
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Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

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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...
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Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

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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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Beams with Unsymmetric Loadings01:17

Beams with Unsymmetric Loadings

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Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
402
Gauss's Law01:07

Gauss's Law

9.4K
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.
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Updated: Jan 14, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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部分连贯的马修-高斯光束.

Atefeh Akbarpour1,2, Adad Yepiz1, Benjamin Perez-Garcia1

  • 1Escuela de Ingeniería y Ciencias, Tecnologico de Monterrey, Ave. Eugenio Garza Sada 2501 Sur, Monterrey, N.L., Mexico, 64700.

Scientific reports
|October 22, 2025
PubMed
概括
此摘要是机器生成的。

研究人员生成了具有可控制性质的部分连贯的马修-高斯束. 这些光束在传播过程中保持结构完整性,显示了光通信和成像应用的前景.

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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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科学领域:

  • 光学和光子学 在光学和光子学.
  • 量子光学是一种量子光学.

背景情况:

  • 结构光束,如马修-高斯 (MG) 束,在各种光学应用中至关重要.
  • 控制这些光束的空间连贯性和极化性质对于先进的应用是必不可少的.

研究的目的:

  • 理论上研究和实验产生马修-高斯束在部分连贯的制度.
  • 为了证明对MG光束的空间连贯性和圆性的独立控制.
  • 研究这些光束的连贯结构和传播特征.

主要方法:

  • 使用旋转的地面玻璃扩散器和空间光调节器来产生和控制光束.
  • 采用交叉相关函数,一种特定形式的交叉频谱密度,以表征连贯性.
  • 在传播过程中分析了强度配置和连贯性质.

主要成果:

  • 实现了对部分连贯的MG光束空间连贯性和圆性的独立控制.
  • 观察到部分连贯的MG光束在它们的交叉相关功能中保留了结构特征,尽管强度配置降解.
  • 在传播过程中证明了跨光谱密度的近不变性.

结论:

  • 部分连贯的马修-高斯束具有强大的结构特征,有利于通过复杂介质传播.
  • 这些光束为自由空间光学通信和通过不均质介质成像的应用提供了显著的潜力.
  • 这些发现促进了对部分连贯结构光束及其在量子光学,光学陷和光束成型中的应用的基本理解.