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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.
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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:
Determination of Crystal Structures01:29

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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...
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
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The de Broglie Wavelength02:32

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Electromagnetic Waves in Matter01:30

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Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
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Related Experiment Video

Updated: Jun 2, 2026

Terahertz Microfluidic Sensing Using a Parallel-plate Waveguide Sensor
07:28

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Published on: August 30, 2012

Plane-wave diffraction by an obtuse-angled dielectric wedge.

G Gennarelli1, G Riccio

  • 1Dipartimento di Ingegneria Elettronica ed Ingegneria Informatica, University of Salerno, via Ponte Don Melillo, Fisciano (Salerno) 84084, Italy.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|April 12, 2011
PubMed
Summary

This study presents new closed-form solutions for high-frequency plane wave diffraction by penetrable wedges. The findings offer accurate and effective methods for analyzing electromagnetic scattering phenomena.

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Area of Science:

  • Electromagnetics and Wave Propagation
  • Computational Physics

Background:

  • Diffraction phenomena are crucial in understanding wave interactions with geometric structures.
  • Accurate analytical solutions for electromagnetic scattering from wedges are often limited, especially for penetrable materials.

Purpose of the Study:

  • To derive uniform high-frequency solutions in closed form for plane wave diffraction.
  • To address the specific case of a penetrable wedge with an obtuse apex angle and arbitrary dielectric permittivity.
  • To validate the proposed solutions through numerical testing and comparison.

Main Methods:

  • Utilizing a physical optics approximation for electric and magnetic equivalent surface currents.
  • Applying these approximations within scattering integrals for the wedge's interior and exterior regions.
  • Developing closed-form analytical solutions.

Main Results:

  • Derivation of uniform high-frequency solutions in closed form.
  • Demonstration of accuracy through numerical tests.
  • Effective agreement with finite-difference time-domain (FDTD) results.

Conclusions:

  • The derived closed-form solutions are accurate and effective for high-frequency diffraction by penetrable obtuse wedges.
  • The physical optics approximation provides a viable approach for this class of scattering problems.
  • These solutions can be valuable for electromagnetic analysis and design.