Stochastic geometrical diffraction theory in a random medium with inhomogeneous background

Area of Science:

• Physics
• Wave Propagation
• Electromagnetics

Background:

• High-frequency wave phenomena are crucial in various scientific fields.
• Previous models often assumed homogeneous background media, limiting applicability.
• Understanding wave interactions with interfaces and scatterers in complex environments is challenging.

Purpose of the Study:

• To apply the stochastic geometrical theory of diffraction (SGTD) to analyze wave propagation.
• To investigate the reflection, transmission, and diffraction of the high-frequency two-point coherence function.
• To extend existing solutions to randomly fluctuating and inhomogeneous background media.

Main Methods:

• Application of the stochastic geometrical theory of diffraction (SGTD).
• Analysis of the high-frequency two-point coherence function.
• Modeling of wave interactions with embedded interfaces or scatterers within inhomogeneous random media.

Main Results:

• The SGTD successfully models wave coherence phenomena in complex media.
• Extended solutions are provided for reflection, transmission, and diffraction in inhomogeneous backgrounds.
• The study demonstrates the theory's capability to handle random fluctuations.

Conclusions:

• The stochastic geometrical theory of diffraction provides a robust framework for analyzing wave propagation in random, inhomogeneous media.
• This work significantly advances the understanding of high-frequency wave coherence in complex environments.
• The developed methods offer improved predictive capabilities for realistic scenarios.