Optimization analysis of a Stokes polarimeter for broadband liquid crystal variable retarders under the optimal...

Area of Science:

• Optics and Photonics
• Image Processing
• Materials Science

Background:

• Liquid Crystal Variable Retarders (LVCs) are essential for high-precision, fast broadband polarization imaging.
• The noise suppression capabilities of LCVRs significantly influence polarization measurement accuracy.
• Optimizing LCVR performance is critical for achieving superior imaging quality.

Purpose of the Study:

• To analytically derive and validate an optimal objective function for LCVR optimization.
• To investigate the relationship between the number of measurements and overall performance (error propagation).
• To determine a set of optimal angles for enhanced LCVR performance in the 350-700 nm range.

Main Methods:

• Analytical derivation of the optimal objective function.
• Validation using a genetic algorithm within the 350-700 nm spectral band.
• Simulation and analysis of noise immunity for the optimized angles.

Main Results:

• A novel optimal objective function for LCVR optimization was derived and verified.
• The optimized average condition number (CN) was found to be 2.0000, a 0.32% improvement over previous results.
• The study identified a set of highly favorable angles that enhance noise immunity and overall system performance.

Conclusions:

• The derived optimal objective function enables better optimization of LCVRs.
• The optimized system demonstrates improved noise immunity and measurement accuracy.
• This research contributes to advancing wide-band liquid crystal variable retarder polarimetry.