Transmission, backscattering, and depolarization of waves in randomly distributed spherical particles

Area of Science:

• Atmospheric Optics
• Radiative Transfer Theory
• Polarization Optics

Background:

• Understanding light interaction with atmospheric particles is crucial for remote sensing and climate modeling.
• Multiple scattering effects in dense media like fog significantly alter light polarization.
• Existing models often simplify scattering phenomena, necessitating more comprehensive approaches.

Purpose of the Study:

• To develop general formulations for the multiple scattering of polarized light by randomly distributed spherical particles in a slab.
• To analyze the behavior of copolarized and cross-polarized intensities and the degree of polarization under different conditions.
• To compare advanced scattering calculations with first-order approximations for optical waves in fog.

Main Methods:

• Decomposition of the radiative transfer equation with Stokes vectors into Fourier components.
• Analysis of scattering for linearly and circularly polarized incident waves.
• Calculation of incoherent intensities and degree of polarization for various azimuthal angles, directions, and optical thicknesses.

Main Results:

• Sinusoidal variations in copolarized and cross-polarized incoherent intensities with azimuthal angle for linear polarization.
• Dependence of the degree of polarization on direction and optical thickness.
• Comparison of results for optical waves at 5, 10, and 15 micrometers in fog against first-order scattering.

Conclusions:

• The study provides a robust framework for modeling polarized light multiple scattering in atmospheric media.
• The findings highlight the significant impact of multiple scattering on light polarization, deviating from simpler models.
• The detailed analysis offers improved accuracy for applications involving light propagation through fog and other particle-laden atmospheres.