Coherence for vectorial waves and majorization.

@article{Luis2016CoherenceFV,
  title={Coherence for vectorial waves and majorization.},
  author={Alfredo Luis},
  journal={Optics letters},
  year={2016},
  volume={41 22},
  pages={
          5190-5193
        }
}
  • A. Luis
  • Published 4 March 2016
  • Physics
  • Optics letters
We show that comparison via majorization provides a powerful tool to examine the coherence of partially polarized electromagnetic waves, including the idea that two field states may or may not be comparable. Through two relevant scenarios, we show that when superimposing comparable unpolarized fields majorization agrees with interferometric visibility, while when combining fields of different degrees of polarization the situation turns out to be richer. 
View on PubMed
arxiv.org
1 Citations

Figures from this paper

One Citation

Resource-theoretic approach to vectorial coherence.
TLDR
A formal resource-theoretic approach to assess the coherence between partially polarized electromagnetic fields, identifying two resource theories for the vectorial coherence: polarization-sensitive coherence and polarization-insensitive coherence.

References

SHOWING 1-10 OF 34 REFERENCES
Coherence and visibility for vectorial light.
  • A. Luis
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2010
TLDR
Two- path interference of transversal vectorial waves is embedded within a larger scheme: this is four-path interference between four scalar waves that restores the equivalence between correlation-based coherence and visibility.
Overall degree of coherence for vectorial electromagnetic fields and the Wigner function.
  • A. Luis
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2007
We elaborate the overall degree of coherence for vectorial electromagnetic waves within paraxial approximation, expressing it in terms of a polarization Wigner function and the spatial-angular Stokes…
Degree of coherence for vectorial electromagnetic fields as the distance between correlation matrices.
  • A. Luis
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2007
We assess the degree of coherence of vectorial electromagnetic fields in the space-frequency domain as the distance between the cross-spectral density matrix and the identity matrix representing…
Unified theory of coherence and polarization of random electromagnetic beams
Maximum visibility in interferometers illuminated by vectorial waves.
The maximum visibility achievable in arbitrary lossless linear interferometers illuminated with two vectorial transversal electromagnetic beams is determined.
Degree of coherence of the electromagnetic field
Fisher information as a generalized measure of coherence in classical and quantum optics.
We show that metrological resolution in the detection of small phase shifts provides a suitable generalization of the degrees of coherence and polarization. Resolution is estimated via Fisher…
Coherence, polarization, and entanglement for classical light fields
Entropy and degree of polarization for nonlinear optical waves.
I show that the usual definitions of entropy and degree of polarization are not relevant for nonlinear optical waves, because they would lead to the erroneous conclusion that a genuine process of…
Quantum-classical correspondence for visibility, coherence, and relative phase for multidimensional systems
We develop a thorough connection between visibility, coherence, and phase statistics for N-dimensional quantum systems and N classical waves.
...
...