Related Experiment Video
Updated: Jan 22, 2026
03:55
Computer-Aided Three-Dimensional Visualization in the Treatment of Locally Advanced Thyroid Cancer
Published on: June 9, 2023
950
Enhancement of localization in one-dimensional random potentials with long-range correlations
U Kuhl1, F M Izrailev, A A Krokhin
1Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany.
Physical Review Letters
|June 4, 2008
Summary
We studied how random potentials affect wave localization in a waveguide. Replacing white-noise scatterers with correlated ones significantly reduced the localization length, enhancing wave confinement.
Area of Science:
- Physics
- Wave phenomena
- Condensed matter physics
Background:
- Wave localization is a phenomenon where waves are confined by disorder.
- One-dimensional systems are ideal for studying fundamental localization effects.
- Understanding localization is crucial for designing wave-based devices.
Purpose of the Study:
- To experimentally investigate the impact of correlated disorder on wave localization.
- To quantify the change in localization length in a 1D waveguide.
- To explore methods for enhancing wave localization.
Main Methods:
- Utilizing a single-mode waveguide with 100 tunable scatterers.
- Periodically inserting scatterers to create controlled disorder.
- Measuring transmitted and reflected wave amplitudes between scatterers.
Main Results:
- Observed a significant decrease in localization length.
- Demonstrated that correlated scatterer arrangements enhance localization compared to white-noise.
- Quantified the effect of disorder correlation on wave confinement.
Conclusions:
- Correlated disorder provides a mechanism to enhance wave localization in 1D systems.
- Experimental results validate theoretical predictions of enhanced localization.
- Findings have implications for controlling wave propagation in disordered media.
More Related Videos
08:31Concurrent Recording of Co-localized Electroencephalography and Local Field Potential in Rodent
Published on: November 30, 2017
12.9K
08:44Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
Published on: August 22, 2017
8.1K
Related Concept Videos
02:20Correlations
35.8K
Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
35.8K
00:59Range
13.9K
The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the study of seven 16-ounce soda cans, the filled volume of soda was measured, thus producing the following amount (in ounces) of soda:
15.9; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5
Measurements of the amount of soda in a 16-ounce can vary since different subjects record these measurements or since the exact amount - 16 ounces of liquid, was not...
15.9; 16.1; 15.2; 14.8; 15.8; 15.9; 16.0; 15.5
Measurements of the amount of soda in a 16-ounce can vary since different subjects record these measurements or since the exact amount - 16 ounces of liquid, was not...
13.9K
01:27Correlation and Causation
42.2K
Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
Correlation versus Causation
If the dependent variable increases or decreases when the independent variable increases, there is a positive or negative...
42.2K
01:04Random Error
9.1K
Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
9.1K
01:09Random Variables
17.5K
A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
17.5K
01:13Randomized Experiments
8.9K
The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
Simple randomization
Simple...
8.9K