Stochastic electromagnetic field propagation- measurement and modelling.

Area of Science:

• Electromagnetics
• Statistical Physics
• Wave Propagation

Background:

• Early statistical electromagnetics concepts originated from Oliver Heaviside's work, drawing analogies with heat transfer.
• Understanding wave propagation in confined, irregular media requires advanced statistical approaches.

Purpose of the Study:

• To review and advance measurement and modeling techniques for stochastic electromagnetic fields.
• To extend Wigner function formalism for propagating statistical field properties, including polarization.

Main Methods:

• Utilizes Wigner functions for propagating statistical properties of electromagnetic fields.
• Applies the method of moments technique for modeling.
• Develops a Wigner tensor formulation to incorporate polarization.

Main Results:

• Demonstrates propagation methods with measurements of electromagnetic emissions from a stirred, cavity-backed aperture.
• Establishes a Wigner tensor formulation and its relation to the averaged Poynting vector.
• Extends Wigner function formalism to include polarization effects in field propagation.

Conclusions:

• Wigner functions provide a powerful framework for modeling stochastic electromagnetic fields, especially with polarization.
• The developed methods offer enhanced understanding of wave propagation in complex environments.
• This work builds upon historical foundations of statistical electromagnetics.