Related Experiment Video
Updated: Apr 5, 2026

09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
12.0K
Anderson localization in a partially random Bragg grating and a conserved area theorem.
Optics Letters
|August 11, 2015
Summary
Partially disordered Bragg gratings exhibit conserved transmittance properties. Transmittance decays exponentially with layer number, revealing insights into disorder effects in optical systems.
Area of Science:
- Physics
- Optics
- Materials Science
Background:
- Bragg gratings are crucial optical components.
- Understanding disorder effects is key for device performance.
- Intermediate disorder regimes are less explored.
Purpose of the Study:
- Investigate disorder emergence in Bragg gratings.
- Identify critical properties of partially disordered gratings.
- Analyze transmittance behavior with increasing disorder.
Main Methods:
- Theoretical analysis of transmittance.
- Examination of reciprocal wavevector space.
- Modeling exponential decay with layer number.
Main Results:
- Logarithm of transmittance integral is conserved.
- Disorder redistributes transmittance across reciprocal space.
- Average transmittance shows exponential decay exp(-ηN) for large N.
Conclusions:
- Partially disordered Bragg gratings have predictable transmittance.
- Disorder's impact on transmittance is quantifiable.
- Findings have implications for optical device design.
Related Concept Videos
X-ray Crystallography
26.9K
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...
26.9K
Interference and Diffraction
54.5K
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.
54.5K
Area Computation by the Alternative Coordinate Method
792
The alternative coordinate method, also known as the Shoelace Formula, is a technique for determining the area of a traverse using Cartesian coordinates. This method relies on the sequential arrangement of x and y coordinates for each point of the shape, ensuring accuracy and ease of application.In this approach, each corner's x and y coordinates are listed as fractions, with the x-coordinate as the numerator and the y-coordinate as the denominator. These coordinates are arranged sequentially...
792
Determination of Crystal Structures
111
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...
111
Parallel-Axis Theorem for an Area
3.3K
The moment of inertia is a fundamental concept in mechanical engineering that plays a significant role in designing rotationally symmetric objects such as flywheels, gears, and other mechanical systems. In this context, we will discuss the moment of inertia of a flywheel rotating about its centroidal axis and how it relates to the moment of inertia about an axis parallel to it.
For a flywheel approximated as a solid disc, consider an infinitesimal differential element with an arbitrary distance...
For a flywheel approximated as a solid disc, consider an infinitesimal differential element with an arbitrary distance...
3.3K
First Law: Particles in Two-dimensional Equilibrium
17.0K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
17.0K

