相关实验视频

Updated: May 30, 2025

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

21.7K

扭曲的旋高斯斯谢尔模型束,概括的ABCD系统和多维的赫尔米特多项式

Milo W Hyde, Benjamin C Wilson, Santasri R Bose-Pillai

    Journal of the Optical Society of America. A, Optics, image science, and vision
    |January 31, 2025
    PubMed
    概括

    这项研究引入了多维的Hermite多项式 (MDHPs),以更有效地表示扭曲状部分连贯束的交叉光谱密度 (CSD). 实验验证证证实了光学系统中这种新的理论方法的准确性.

    更多相关视频

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns13:44

    Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

    Published on: August 30, 2013

    42.7K
    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    9.7K

    相关概念视频

    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,...
    7.4K
    Gauss's Law: Planar Symmetry01:27

    Gauss's Law: Planar Symmetry

    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...
    7.8K
    Deflection of a Beam01:19

    Deflection of a Beam

    Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
    Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
    226
    Three-Dimensional Analysis of Strain01:29

    Three-Dimensional Analysis of Strain

    Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
    201
    Torsion of Noncircular Members01:16

    Torsion of Noncircular Members

    Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even distribution of stress, allowing the shaft to withstand torsion without distorting. In contrast, square bars, lacking this axial symmetry, experience significant distortion across their cross-sections when subjected to torsion, with the exception of along their diagonals and at lines connecting midpoints. A detailed examination of a cubic element...
    121
    Singularity Functions for Bending Moment01:18

    Singularity Functions for Bending Moment

    Singularity functions simplify the representation of bending moments in beams subjected to discontinuous loading, allowing the use of a single mathematical expression. For a supported beam AB, with uniform loading from its midpoint M to the right side end B, the approach involves conceptual 'cuts' at specific points to determine the bending moment in each segment. By cutting the beam at a point between A and M, the bending moment for the segment before reaching midpoint M is represented...
    199