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Error analysis for Mueller matrix measurement.

Soe-Mie F Nee1

  • 1Naval Air Warfare Center, Research Department, China Lake, California 93555-6100, USA. soemie.nee@navy.mil

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|August 27, 2003
PubMed
Summary

Linear errors in Mueller matrix measurements are analyzed, considering component imperfections. These errors depend on both system flaws and the Mueller matrix itself, impacting polarimetric measurements.

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Area of Science:

  • Optical metrology
  • Polarimetry
  • Matrix optics

Background:

  • Mueller matrix measurements are crucial for characterizing optical properties.
  • Imperfections in polarimetric components (e.g., misalignment, depolarization, incorrect retardation) introduce measurement errors.
  • Understanding these errors is vital for accurate optical system analysis.

Purpose of the Study:

  • To formulate linear errors in Mueller matrix measurements.
  • To derive and evaluate error matrices for various polarimetric systems.
  • To apply the general error matrix to null ellipsometry and compare results.

Main Methods:

  • Formulation of linear errors based on polarimetric component imperfections.
  • Derivation of error matrices for different system configurations.
  • Evaluation of error matrices for straight-through and polarizer-sample-analyzer systems.
  • Application of the general error matrix to null ellipsometry.

Main Results:

  • Measured Mueller matrix errors are influenced by both system imperfections and the Mueller matrix itself.
  • The error matrix for a polarizer-sample-analyzer system is simpler than for more complex systems.
  • Errors in ellipsometric parameters (psi and delta) obtained through the general error matrix match those derived specifically for null ellipsometry with depolarization.

Conclusions:

  • The study provides a comprehensive framework for understanding linear errors in Mueller matrix measurements.
  • The derived error matrices offer insights into system-specific error propagation.
  • The findings are applicable to refining accuracy in polarimetry and ellipsometry, particularly in systems with depolarization.

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