Design of Partial Mueller-Matrix Polarimeters for Application-Specific Sensors

Area of Science:

• Optical Engineering
• Polarimetry
• Materials Science

Background:

• Materials exhibit limited-dimensionality polarization signatures (Mueller matrices) at specific frequencies.
• Existing polarimeter designs often involve redundant measurements and hardware, increasing costs and errors.
• Standard Stokes-Mueller basis is crucial for data interpretation, calibration, and troubleshooting.

Purpose of the Study:

• To develop a robust and efficient design methodology for polarization sensors.
• To adapt sensor design to specific material signatures and available modulators, minimizing measurements.
• To optimize sensor performance for target classification under hardware constraints.

Main Methods:

• Defined a vector space of reduced Mueller matrices and an instrument vector.
• Proved the reduced-Mueller vector space is identical to R15, offering a linear description.
• Applied reduced irradiance (inner product of reduced vectors) for classifier construction and modulator tuning.

Main Results:

• The pMMP design method eliminates pseudo-inverses and identifies optimal channel compositions.
• Demonstrated effective classification of targets with diattenuation and depolarization characteristics.
• Provided examples for 2-channel passive and 4-channel active polarimeters using rotating crystal modulators.

Conclusions:

• The proposed pMMP design approach enables efficient and targeted polarization measurements.
• This method optimizes hardware usage and reduces measurement complexity for specific applications.
• The framework facilitates the development of advanced polarimetric sensors for material characterization.