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Related Concept Videos

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,...
Gauss's Law: Spherical Symmetry01:26

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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 uniform...
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...
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Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Coherence properties of a source array derived from a Gaussian Schell-model beam.

H Yoshimura, T Iwai

    Applied Optics
    |November 10, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study analyzes spatial coherence in source arrays generated from Gaussian Schell-model (GSM) beams. Key findings show elements achieve high spatial coherence under specific GSM source and grating conditions.

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    Area of Science:

    • Optics and Photonics
    • Wave Phenomena
    • Coherence Theory

    Background:

    • Gaussian Schell-model (GSM) beams are fundamental in optical coherence research.
    • Previous work established methods for creating source arrays from GSM beams using gratings.
    • Analysis of intensity distribution was previously performed.

    Purpose of the Study:

    • To analyze the spatial coherence properties of a source array.
    • To determine conditions for achieving high spatial coherence among array elements.
    • To relate array element coherence to the original GSM source.

    Main Methods:

    • Utilizing a quasi-monochromatic Gaussian Schell-model (GSM) beam.
    • Employing a Gaussian amplitude grating to generate a source array.
    • Analyzing the spatial coherence properties of the resulting array elements.

    Main Results:

    • The degree of spatial coherence is uniform across all elements of the source array.
    • Each array element exhibits coherence properties equivalent to the original GSM source.
    • High spatial coherence between elements is achieved when specific GSM source and grating parameters are met.

    Conclusions:

    • The spatial coherence of a GSM-derived source array is controllable.
    • Specific conditions ensure array elements act as independent, highly coherent sources.
    • This research provides insights into engineering coherent optical source arrays.