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Doppler Optical Coherence Tomography of Retinal Circulation
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Two-point optical coherency matrix tomography.

Ayman F Abouraddy, Kumel H Kagalwala, Bahaa E A Saleh

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    Summary
    This summary is machine-generated.

    We present a method to fully reconstruct the electromagnetic field coherency matrix using projective measurements. This technique enables a complete characterization of field correlations, overcoming limitations of traditional methods.

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    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Classical Electrodynamics

    Background:

    • The two-point coherence of electromagnetic fields is crucial for understanding their behavior.
    • Characterizing complex fields often relies on scalar descriptors, which can be insufficient for correlated or entangled degrees of freedom.

    Purpose of the Study:

    • To develop a method for the complete tomographic reconstruction of the 4x4 electromagnetic field coherency matrix (G).
    • To establish a link between classical optical coherence and quantum state tomography.

    Main Methods:

    • A systematic sequence of cascaded spatial and polarization projective measurements.
    • Utilizing the analogy with quantum state tomography for two-photon states.

    Main Results:

    • Successfully demonstrated a method for the tomographic reconstruction of the coherency matrix G.
    • Showcased that G completely encodes joint polarization-spatial-field correlations.

    Conclusions:

    • The developed method allows for a unique determination of all measurable correlation characteristics of an electromagnetic field.
    • This approach resolves ambiguities inherent in scalar descriptors, particularly for fields with correlated or classically entangled properties.