Related Experiment Video
Updated: Aug 9, 2026

12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Nondiffracting beams in periodic media
Ofer Manela1, Mordechai Segev, Demetrios N Christodoulides
1Department of Physics and Solid State Institute, Technion, Haifa 32000, Israel.
Optics Letters
|October 8, 2005
Summary
Researchers found nondiffracting beams within two-dimensional periodic systems. These beams possess unique symmetry and phase structures linked to specific energy bands in the material.
Area of Science:
- Physics
- Condensed Matter Physics
- Photonics
Background:
- Periodic systems, such as photonic crystals, exhibit unique wave propagation properties governed by energy bands.
- Nondiffracting beams, like Bessel beams, maintain their shape over long distances, which is crucial for applications in imaging and communication.
Purpose of the Study:
- To investigate the existence and properties of nondiffracting beams in two-dimensional periodic systems.
- To understand the relationship between the symmetry and phase structure of these beams and the underlying energy bands.
Main Methods:
- Theoretical analysis of wave propagation in two-dimensional periodic structures.
- Numerical simulations to visualize beam behavior and analyze phase properties.
Main Results:
- Identification of specific nondiffracting beams within the studied periodic systems.
- Demonstration that these beams exhibit symmetry properties directly related to the associated energy bands.
- Characterization of the phase structure of nondiffracting beams, showing a clear correlation with band characteristics.
Conclusions:
- Nondiffracting beams can be found and controlled in two-dimensional periodic systems.
- The symmetry and phase of these beams serve as unique identifiers for specific energy bands.
- This finding opens new avenues for manipulating light in periodic structures for advanced optical applications.
Related Concept Videos
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.
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 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...
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...
Distribution of Stresses in a Narrow Rectangular Beam
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these areas.
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...
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
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...

