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Optimal configuration of static polarization imagers for target detection
Summary
This study identifies optimal analysis states for static Stokes imagers to maximize target detection. Four states forming a tetrahedron offer a robust solution with a slight performance trade-off compared to adaptive imagers.
Area of Science:
- Polarimetry
- Optical Imaging
- Signal Processing
Background:
- Static Stokes imagers are used for target detection.
- Polarimetric configurations significantly impact detection performance.
- Optimizing analysis states is crucial for maximizing performance in challenging scenarios.
Purpose of the Study:
- To determine the optimal set of analysis states for a static Stokes imager.
- To maximize target detection performance under the least favorable polarimetric conditions.
- To evaluate the performance trade-off compared to fully adaptive systems.
Main Methods:
- Utilized a minimax approach to identify optimal analysis states.
- Investigated the Poincaré sphere to define the geometric arrangement of states.
- Quantified detection performance based on polarimetric contrast.
Main Results:
- The optimal set comprises four analysis states forming a regular tetrahedron on the Poincaré sphere.
- In the worst-case scenario, the contrast in the best Stokes channel is one-third of that from a fully adaptive imager.
- This configuration balances performance and system complexity.
Conclusions:
- Static Stokes imagers with four specific analysis states offer a practical solution for target detection.
- These imagers are suitable for applications where a minor reduction in discrimination ability is acceptable.
- The minimax approach provides a robust method for optimizing polarimetric sensing.

