Statistics of the mesoscopic field.

Area of Science:

• Condensed matter physics
• Wave phenomena in disordered systems
• Quantum chaos

Background:

• The microwave field distribution in strongly scattering media deviates significantly from Gaussian statistics.
• Understanding these deviations is crucial for characterizing wave propagation in complex systems.

Purpose of the Study:

• To investigate the statistical properties of the microwave field in strongly scattering samples.
• To verify the central hypothesis of random matrix theory regarding perfect mode mixing.
• To establish the statistical independence of field, intensity, and transmission.

Main Methods:

• Analysis of the measured probability distribution of the microwave field.
• Focusing on subensem analysis with specified total transmission.
• Application of random matrix theory principles.

Main Results:

• The microwave field within a subensemble of specified total transmission follows a Gaussian distribution.
• Demonstrated statistical independence between normalized field/intensity and total transmission.
• Derived a universal form for the intensity correlation function.

Conclusions:

• The findings confirm the random matrix theory's prediction of perfect mode mixing.
• The statistical independence provides a universal explanation for transmission measurements in various scattering regimes.
• This work offers a unified framework for understanding wave transport in disordered systems.