Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
X-ray Crystallography02:18

X-ray Crystallography

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...
Determination of Crystal Structures01:29

Determination of Crystal Structures

In the late 1800s, the revelation that light extended beyond visible wavelengths led to the discovery of X-rays by Wilhelm Roentgen. Recognized as high-energy electromagnetic radiation with short wavelengths, X-rays prompted exploration into their interaction with crystals. Max von Laue proposed in 1912 that the periodic arrangement of atoms, ions, or molecules in crystals would cause them to diffract X-rays, a hypothesis confirmed through experiments with copper sulfate and zinc sulfide...
The de Broglie Wavelength02:32

The de Broglie Wavelength

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...
X-ray Diffraction of Biological Samples01:10

X-ray Diffraction of Biological Samples

X-ray diffraction or XRD is an analytical tool that utilizes X-rays to study ordered structures such as crystalline organic and inorganic samples, polycrystalline materials, proteins, carbohydrates, and drugs.
According to Bragg's law, when X-rays strike the sample positioned on a stage, the rays are  scattered by the electron clouds around the sample atoms. The  X-ray diffraction or scattering is caused by constructive interference of the X-ray waves that reflect off the internal crystal...
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed to be a...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Sensitivity of radiometric results for a Lambertian source to simple changes of geometry.

Optical engineering (Redondo Beach, Calif.)·2026
Same author

Second-order diffraction effects in practical radiometry: analytical asymptotic results.

Journal of the Optical Society of America. A, Optics, image science, and vision·2025
Same author

Debye-Waller effects in Bethe-Salpeter calculations: Bridging the gap between XANES and EXAFS.

Radiation physics and chemistry (Oxford, England : 1993)·2024
Same author

CODATA recommended values of the fundamental physical constants: 2018.

Reviews of modern physics·2023
Same author

CODATA Recommended Values of the Fundamental Physical Constants: 2018.

Journal of physical and chemical reference data·2023
Same author

Fast, efficient, and accurate dielectric screening using a local real-space approach.

Physical review. B·2023

Related Experiment Video

Updated: Jul 17, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Straight-edge diffraction of Planck radiation.

Peter J Mohr1, Eric L Shirley

  • 1National Institute of Standards and Technology, Gaithersburg, MD 20899-8420, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
PubMed
Summary

This study presents a Taylor series for monochromatic radiation diffraction at a straight edge. Integrating this over a Planck distribution provides a power series for the Planck profile, with an asymptotic series derived for broader applicability.

More Related Videos

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
10:39

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans
08:24

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

Published on: September 13, 2017

Related Experiment Videos

Last Updated: Jul 17, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
10:39

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans
08:24

Fourier-Based Diffraction Analysis of Live Caenorhabditis elegans

Published on: September 13, 2017

Area of Science:

  • Optics and Photonics
  • Mathematical Physics

Background:

  • Diffraction phenomena are fundamental in optics.
  • Understanding irradiance profiles is crucial for optical system design.

Purpose of the Study:

  • To develop a Taylor series expansion for the irradiance diffraction profile of a straight edge.
  • To derive the Planck profile from the monochromatic case using a Planck distribution.
  • To obtain an asymptotic series for the Planck profile.

Main Methods:

  • Taylor series expansion for monochromatic radiation.
  • Integration of the series over a Planck distribution.
  • Analytic continuation using a Barnes type integral representation.

Main Results:

  • Analytic expressions for Taylor series coefficients were derived.
  • A power series for the Planck profile with a finite radius of convergence was obtained.
  • An asymptotic series for the Planck profile was successfully derived.

Conclusions:

  • The study provides a robust mathematical framework for analyzing diffraction profiles.
  • The derived series offer insights into the behavior of radiation profiles under different distributions.
  • The methods are applicable to understanding complex optical phenomena.