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X-ray Crystallography02:18

X-ray Crystallography

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The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
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Standing Waves in a Cavity01:28

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Modes of Standing Waves: II01:04

Modes of Standing Waves: II

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The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Modes of Standing Waves - I01:03

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A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
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Related Experiment Video

Updated: Jan 14, 2026

Writing Bragg Gratings in Multicore Fibers
08:48

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

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Coupled-mode equations for periodic superstructure Bragg gratings.

C M de Sterke, N G Broderick

    Optics Letters
    |October 29, 2009
    PubMed
    Summary

    Periodic superstructure Bragg gratings can be simplified by analyzing super envelopes. This approach reveals they behave like uniform gratings within specific frequency ranges, aiding optical device analysis.

    Area of Science:

    • Optics
    • Photonics
    • Materials Science

    Background:

    • Periodic superstructure Bragg gratings feature periodically varying parameters.
    • Standard analysis uses coupled-mode equations for electric field envelopes.

    Purpose of the Study:

    • To simplify the analysis of periodic superstructure Bragg gratings.
    • To demonstrate an alternative analytical approach using super envelopes.

    Main Methods:

    • Analyzing the envelopes of the usual envelope functions (super envelopes).
    • Deriving and examining the (super) coupled-mode equations for these super envelopes.

    Main Results:

    • The super envelopes satisfy equations formally identical to those for uniform gratings.

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    Related Experiment Videos

    Last Updated: Jan 14, 2026

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    Stimulated Stokes and Antistokes Raman Scattering in Microspherical Whispering Gallery Mode Resonators
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    Fabrication And Characterization Of Photonic Crystal Slow Light Waveguides And Cavities
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  • Periodic superstructure Bragg gratings approximate uniform grating behavior within certain frequency ranges.
  • Conclusions:

    • The super envelope analysis offers a simplified method for understanding superstructure Bragg gratings.
    • This simplification aids in the design and application of these gratings in optical systems.