What question did this study set out to answer?

To establish rigorous mathematical criteria that ensure polarization matrices representing passive optical systems and scattering media do not violate physical conservation of energy.

December 1, 1987Journal of Modern Optics

Conditions for the Physical Realizability of Polarization Matrices Characterizing Passive Systems

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RBRichard BarakatSystems, Applications & Products in Data Processing (Canada)

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Implication

Theoretical analysis establishes physical realizability conditions for polarization matrices in passive optical media, highlighting intensity constraints on transmitted light.

Key Points

To establish rigorous mathematical criteria that ensure polarization matrices representing passive optical systems and scattering media do not violate physical conservation of energy.
Applied singular-value decomposition to general 2 × 2 complex-valued Jones matrices to constrain the intensity gain factor between 0 and 1.
Extended algebraic bounds to 4 × 4 real-valued Mueller-Jones matrices and evaluated constraints on general Mueller matrices using Stokes parameters.
Proved that a Jones matrix is physically realizable if and only if its algebraic transformation limits the output-to-input intensity ratio to at most 1.
Demonstrated that singular Jones matrices with a zero determinant completely extinguish output intensity across all input states.
Showed that general Mueller matrices cannot be validated by matrix-only criteria because realizability depends directly on the incident Stokes parameters.

Cite This Study

Richard Barakat (1987) studied this question.

synapsesocial.com/papers/6a967312ff8a6b2115f6a790 https://doi.org/10.1080/09500348714551471

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Implication

Theoretical analysis establishes physical realizability conditions for polarization matrices in passive optical media, highlighting intensity constraints on transmitted light.

Conditions for the Physical Realizability of Polarization Matrices Characterizing Passive Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

Conditions for the Physical Realizability of Polarization Matrices Characterizing Passive Systems

Discussion

Member takes

Implication

Key Points

Cite This Study

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