Study on the validity of 3 × 3 Mueller matrix decomposition

Area of Science:

• * Optics and photonics
• * Biophysics and biomedical optics
• * Materials science

Background:

• * Mueller matrix decomposition is crucial for analyzing light polarization changes due to scattering.
• * Comparing 3x3 and 4x4 decomposition methods is essential for understanding their applicability in different scattering scenarios.

Purpose of the Study:

• * To compare polarization parameters obtained from 3x3 and 4x4 Mueller matrix decomposition.
• * To evaluate the sensitivity of these parameters to microstructural variations in scattering media.

Main Methods:

• * Monte Carlo simulations using scattering models with spherical and cylindrical scatterers in a birefringent medium.
• * Analysis of polarization parameters in forward and backward scattering directions.

Main Results:

• * Parameters from 3x3 and 4x4 decomposition methods are generally not identical.
• * Both methods qualitatively correlate with changes in scatterer density, size, orientation, and medium birefringence.
• * Simulations are validated by experimental data where available.

Conclusions:

• * While quantitative differences exist, both 3x3 and 4x4 Mueller matrix decomposition methods offer valuable insights into sample microstructures.
• * The choice of decomposition method may depend on the specific application and desired level of detail.