Influence of spatial coherence on scattering by a particle

Area of Science:

• Optics and Photonics
• Light Scattering
• Coherence Theory

Background:

• Understanding light scattering is crucial in various scientific fields.
• The influence of the spatial coherence of light on scattering phenomena requires detailed investigation.
• Existing models often assume fully coherent or incoherent light sources.

Purpose of the Study:

• To analyze the impact of partial spatial coherence on light scattering by arbitrary particles.
• To extend the concept of extinction cross section to partially coherent fields.
• To investigate the role of coherence in scattering phenomena using advanced mathematical frameworks.

Main Methods:

• Development of a generalized extinction cross section definition for partially coherent fields.
• Application of the Wigner transform to analyze coherence effects in scattering.
• Mathematical modeling of light-matter interaction under partial coherence conditions.

Main Results:

• The extinction cross section for rotationally invariant scatterers is shown to be independent of the incident field's coherence.
• The Wigner transform framework reveals the influence of partial coherence on the angular distribution of scattered intensity.
• Theoretical analysis provides insights into how coherence modifies scattering patterns.

Conclusions:

• Partial spatial coherence has a nuanced effect on light scattering, notably not altering the extinction cross section for symmetric particles.
• The Wigner transform is a powerful tool for dissecting coherence effects in scattering.
• Findings have implications for remote sensing, imaging, and optical communication systems.