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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

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Error propagation in polarimetric demodulation.

A Asensio Ramos¹, M Collados

¹Instituto de Astrofísica de Canarias, La Laguna, Spain. aasensio@iac.es

|May 13, 2008

Summary

This summary is machine-generated.

This study analyzes uncertainties in light polarization analysis. It provides formulas to calculate how errors in modulation optics affect polarization state measurements, revealing induced correlations in Stokes parameters.

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Area of Science:

Optical Physics
Polarimetry
Metrology

Background:

Polarization analysis of light commonly uses modulation schemes.
Measurements infer unknown polarization states by passing light through known optics.
Previous work focused on optimal demodulation processes.

Purpose of the Study:

To analyze the impact of uncertainties in modulation matrix elements on polarization analysis.
To develop analytical formulas for covariance propagation.
To investigate correlations induced in inferred Stokes parameters.

Main Methods:

Analytical derivation of covariance matrix propagation.
Analysis of uncertainty propagation through matrix inversion.
Mathematical modeling of modulation and demodulation processes.

Main Results:

Formulas are presented for covariance matrix propagation.
Uncertainties in the modulation matrix lead to a nondiagonal demodulation matrix, even with diagonal input covariance.
Correlations are induced in the inferred Stokes parameters due to nonlinear matrix inversion.

Conclusions:

Uncertainties in optical elements significantly impact polarization analysis accuracy.
The nonlinear nature of matrix inversion is a key source of error propagation.
Understanding these correlations is crucial for precise polarimetry.