Physically Realizable Space for the Purity-Depolarization Plane for Polarized Light Scattering Media

Area of Science:

• Optics and Photonics
• Light Scattering
• Polarimetry

Background:

• The Stokes-Mueller formalism is crucial for characterizing polarized light interactions.
• Understanding light scattering media requires quantifying their polarimetric properties.
• Existing methods for analyzing depolarization can be complex.

Purpose of the Study:

• To propose a physically realizable space for polarized light scattering measurements using a purity-index-depolarization-index (PI-PΔ) plane.
• To provide a simplified geometric representation for analyzing depolarization in scattering media.
• To offer deeper perceptivity into the behavior of light scattering media.

Main Methods:

• Utilizing the Stokes-Mueller formalism for polarized light scattering measurements.
• Defining a purity index (PI) from indices of polarimetric purity (IPP).
• Introducing a depolarization index (PΔ) to quantify polarimetric purity and depolarization power.
• Imposing constraints on IPP to define subregions and curves within the PI-PΔ plane.
• Decomposing the Mueller matrix into components via convex sum.

Main Results:

• The PI-PΔ plane offers a novel geometric representation for light scattering analysis.
• Specific subregions and curves within the plane provide detailed information about polarimetric randomness and depolarization.
• Any point on the plane relates to Mueller matrix decomposition into components.
• Complete information on the depolarization index versus entropy diagram is recoverable.

Conclusions:

• The PI-PΔ plane provides a simplified and insightful geometric framework for studying polarized light scattering.
• This approach enhances the understanding of depolarization phenomena in various media.
• The method facilitates a deeper perceptivity of light scattering media comprising depolarization.