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Maximum-likelihood estimation of Mueller matrices.

A Aiello1, G Puentes, D Voigt

  • 1Huygens Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands. aiello@molphys.leidenuniv.nl

Optics Letters
|March 21, 2006
PubMed
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Maximum-likelihood estimation, a quantum method, accurately determines optical system polarization properties via Mueller matrices. This approach ensures physically valid results despite experimental errors, outperforming linear methods.

Area of Science:

  • Optics and Photonics
  • Quantum Information Science
  • Data Analysis

Background:

  • Mueller matrices are crucial for characterizing polarization properties of optical systems.
  • Existing linear reconstruction algorithms can produce physically unacceptable Mueller matrices due to experimental errors.
  • Maximum-likelihood estimation (MLE) has shown promise in quantum process tomography.

Purpose of the Study:

  • To adapt and apply the maximum-likelihood estimation (MLE) method for determining Mueller matrices in classical optical systems.
  • To demonstrate the robustness of MLE against experimental errors in Mueller matrix reconstruction.
  • To validate the MLE approach using a known unphysical Mueller matrix from existing literature.

Main Methods:

  • Application of maximum-likelihood estimation (MLE) principles to classical optical polarization measurements.

Related Experiment Videos

  • Development of an MLE-based algorithm for Mueller matrix reconstruction.
  • Comparative analysis against traditional linear reconstruction algorithms.

    • Main Results:

    • The MLE method successfully determines Mueller matrices for classical optical systems.
    • Physically acceptable Mueller matrices were obtained even with simulated experimental errors.
    • The proposed method corrected an unphysical Mueller matrix from the literature, demonstrating its efficacy.

    Conclusions:

    • Maximum-likelihood estimation is a viable and superior method for Mueller matrix determination in classical optics.
    • MLE offers enhanced accuracy and physical realism compared to linear methods, especially under noisy experimental conditions.
    • This work bridges quantum measurement techniques with classical optical characterization.