Random medium model for cusping of plane waves

Area of Science:

• Optics and Photonics
• Mathematical Physics

Background:

• The Gaussian Schell-model (GSM) is a standard for describing partially coherent light.
• Developing advanced models for optical media is crucial for controlling light scattering.

Purpose of the Study:

• To introduce a novel Fractional Multi-Gaussian Schell-model (FMGSM) for 3D stationary media.
• To analyze the scattering properties of the FMGSM medium and compare it with the GSM medium.
• To explore potential applications of the FMGSM medium in focused beam generation.

Main Methods:

• Modeling a 3D Schell-type stationary medium using the Fractional Multi-Gaussian (FMG) correlation function.
• Analyzing the scattered intensity profiles produced by the FMGSM medium.
• Comparing the FMGSM's scattering characteristics, including Power In the Bucket (PIB), with the GSM medium.

Main Results:

• The FMGSM medium produces a sharp concave intensity apex in the scattered field.
• The FMGSM medium exhibits a larger Power In the Bucket (PIB) in the forward scattering direction compared to the GSM medium.
• The FMG function, a weighted superposition of Gaussian functions, offers greater mathematical tractability.

Conclusions:

• The FMGSM medium is a superior candidate for generating highly-focused, cusp-like scattered profiles in the far zone.
• The FMGSM model provides a more tractable mathematical framework for designing optical media with specific scattering properties.
• The findings have practical implications for energy countering and particle manipulation using weakly scattered fields.