Mueller Matrix Polarimetry with Invariant Polarization Pattern Beams

Sande, Juan Carlos González de; Piquero, Gemma; Suárez, José Félix Restrepo; Santarsiero, Massimo

doi:10.3390/photonics8110491

Cited by 8 publications

(3 citation statements)

References 58 publications

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“…When a non-uniformly polarised paraxial beam of light travels in free space, its polarisation pattern typically changes during propagation, although the concurrence and the degree of polarisation do remain constant (see, e.g., [59] and references therein). Of particular interest are those peculiar beams whose polarisation pattern splits upon propagation into two disjoint parts with uniform orthogonal polarisation, as outlined in Fig.…”

Section: B Polarisation-pattern Splitting and Degree Of Polarisationmentioning

confidence: 99%

Measuring the non-separability of spatially disjoint vectorial fields

Aiello¹,

Rodríguez-Fajardo²,

Hernández-Aranda³

et al. 2022

Preprint

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Vectorial forms of structured light that are non-separable in their spatial and polarisation degrees of freedom have become topical of late, with an extensive toolkit for their creation and control. In contrast, the toolkit for quantifying their non-separability, the inhomogeneity of the polarisation structure, is far less developed, and in some cases fails altogether. To overcome this, here we introduce a new measure for vectorial light, which we demonstrate both theoretically and experimentally. We consider the general case where the local polarisation homogeneity can vary spatially across the field, from scalar to vector, a condition that can arise naturally if the composite scalar fields are path separable during propagation, leading to spatially disjoint vectorial light. We show how the new measure correctly accounts for the local path-like separability of the individual scalar beams, which can have varying degrees of disjointness, even though the global vectorial field remains intact. Our work attempts to address a pressing issue in the analysis of such complex light fields, and raises important questions on spatial coherence in the context of vectorially polarised light.

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Section: B Polarisation-pattern Splitting and Degree Of Polarisationmentioning

confidence: 99%

Measuring the non-separability of spatially disjoint vectorial fields

Aiello¹,

Rodríguez-Fajardo²,

Hernández-Aranda³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, the study of the propagation and focusing of nonuniformly totally polarized beams has been of great interest [29][30][31][32][33][34]. Of particular interest is the study of the invariance on propagation of the characteristics of vector beams, such as the state and degree of polarization [35][36][37][38]. In [27,36,37], the conditions under which the polarization invariance is observed in the propagation of partially coherent electromagnetic beams are analyzed.…”

Section: Introductionmentioning

confidence: 99%

Depolarization of Vector Light Beams on Propagation in Free Space

Petrov¹

2022

Photonics

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Nonparaxial propagation of the vector vortex light beams in free space was investigated theoretically. Propagation-induced polarization changes in vector light beams with different spatial intensity distributions were analyzed. It is shown that the hybrid vector Bessel modes with polarization-OAM (orbital angular momentum) entanglement are the exact solutions of the vector Helmholtz equation. Decomposition of arbitrary vector beams in the initial plane z = 0 into these polarization-invariant beams with phase and polarization singularities was used to analyze the evolution of the polarization of light within the framework of the 2 × 2 coherency matrix formalism. It is shown that the 2D degree of polarization decreases with distance if the incident vector beam is not the modal solution. The close relationship of the degree of polarization with the quantum-mechanical purity parameter is emphasized.

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“…In this way, the polarization maps of the whole beam cross section (before and after the sample) can be measured. Since a full Poincaré beam is used as the input, all possible polarization states are tested at once [37,38]. Every pixel of the CCD camera potentially gives information about the polarization changes induced by the sample and can be used to reduce the uncertainty on the reconstructed Mueller matrix.…”

Section: Introductionmentioning

confidence: 99%

Full Poincaré Mueller Polarimetry Using a CCD Camera

Suárez

Sande²,

Piquero³

et al. 2022

Photonics

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A new method is proposed to perform Mueller matrix polarimetry using a Full Poincaré beam (i.e., a non-uniformly polarized beam presenting all polarization states across its section) as a parallel polarization state generator and a charge-coupled device (CCD) camera as a detector of the polarization state analyzer. In this way, the polarization change is measured for all possible input states simultaneously. To obtain the Mueller matrix of the sample, the overdetermined system of equations that relates the input and output states of polarization is solved by means of the Moore–Penrose pseudo-inverse. Preliminary numerical simulations are performed to identify and exhaustively analyze the main sources of error. In order to test the method, experimental measurements are presented for several known samples, showing an excellent agreement between the experimentally obtained Mueller matrices and the theoretically expected ones.

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Mueller Matrix Polarimetry with Invariant Polarization Pattern Beams

Cited by 8 publications

References 58 publications

Measuring the non-separability of spatially disjoint vectorial fields

Measuring the non-separability of spatially disjoint vectorial fields

Depolarization of Vector Light Beams on Propagation in Free Space

Full Poincaré Mueller Polarimetry Using a CCD Camera

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