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Statistics and control of waves in disordered media
This review explores wave propagation in disordered systems using the transmission matrix. It covers scaling, fluctuations, and energy density in random waveguides and wires.
Area of Science:
- Condensed matter physics
- Wave propagation in disordered media
Background:
- Introduces fundamental concepts of wave transport in quasi-one-dimensional disordered systems.
- Highlights the historical significance of scaling and the transmission matrix in this field.
Purpose of the Study:
- To review and discuss the application of the transmission matrix for analyzing wave phenomena in disordered systems.
- To explore wave control, scaling, fluctuations, delay time, and density of states.
Main Methods:
- Utilizes the transmission matrix formalism.
- Employs microwave measurements, random matrix theory calculations, and computer simulations.
- Investigates statistics of transmission and focusing in single samples and random ensembles.
Main Results:
- Examines the scaling of probability distributions for transmission and transmittance.
- Analyzes the statistics of wave transmission and focusing.
- Explores the spatial distribution of energy density within transmission eigenchannels.
Conclusions:
- The transmission matrix is a powerful tool for understanding complex wave phenomena in disordered systems.
- This work provides insights into wave control and energy localization in random media.
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