Optimization and structuring of the instrument matrix for polarimetric measurements

Savenkov, Sergey N.

doi:10.1117/1.1467361

Cited by 67 publications

(50 citation statements)

References 22 publications

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“…In the successive probing method for determining the Mueller matrix elements, the studied object is probed by radiation with different states of polarization [17]. By measuring the Stokes parameters of the radiation before and after interaction with the object in each probing event, we construct the system of equations relative to the unknown elements of the Mueller matrix ...…”

Section: Determination Of Mueller Matrix Elements By the Successive Pmentioning

confidence: 99%

Error in determining Mueller matrix elements and its effect on solution of the inverse problem of polarimetry

2009

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We present an analysis of the errors in measurement of the Mueller matrix elements in polarimeters that are a combination of different types of Stokes polarimeters in the detection channel and controllable polarization converters in the probing channel. As polarization converters for the probing radiation, we consider a phase plate having four different angular positions in measuring the complete Mueller matrix and a linear polarizer having different angular positions in measuring the structural parts of an incomplete 4 × 3 Mueller matrix.We have shown that the error in determining the Mueller matrix elements is distributed nonuniformly over the matrix. The nature of the error distribution over the elements and its values are different for different combinations of detection and probing channels of the polarimeter, and depend on the anisotropy of the test object. The latter dictates the choice of the optimal layout for a Mueller polarimeter for studying media with the same or different types of anisotropy and the choice of Mueller matrix elements used to solve the inverse problem of determining the anisotropy parameters.Introduction. Study of the properties of anisotropic media is a problem which is efficiently solved using the Mueller matrix method. At this time there are a wide variety of polarimeter layouts for measuring the structural parts of complete and incomplete Mueller matrices for different types of media and objects over a broad range of probing radiation wavelengths [1][2][3]. Recently a number of matrix models have been proposed for analysis of the polarization properties of media based on the measured Mueller matrices [4-6]. As a rule, the polarimeter layout is chosen based on the experimental conditions. In particular, for scanning measurements, optimal layouts have a minimal number of polarization elements which have high uniformity for large aperture [7]. In this case, the number of necessary changes in the parameters of the polarization converters should be minimal to ensure an acceptable measurement time. For spectral polarimetric studies, it is undesirable to use polarization elements with pronounced dispersion properties (crystalline phase plates, etc.). For nonscanning polarization measurements, except perhaps in cases when the nature of the possible changes in the polarization state of the radiation after interaction with the test object is known and limited (for example, when radiation interacts with a medium which is characterized by optical activity, only the azimuth of the orientation of the polarization ellipse changes, etc.), the motivation for the choice of polarimeter layout came from the required minimum measurements for determination of the unknown polarization characteristics. Moreover, we know that the individual Stokes parameters and Mueller matrix elements in the general case are measured with different accuracies [8]. Furthermore, the error in determination of the same Stokes parameter is different for different Stokes polarimeter layouts [9,10]. This provides a basis for as...

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Section: Determination Of Mueller Matrix Elements By the Successive Pmentioning

confidence: 99%

Error in determining Mueller matrix elements and its effect on solution of the inverse problem of polarimetry

2009

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“…(13) To illustrate the developed theory we have carried out the simulation and experiment. We simulate the Mueller matrix measurement of some test objects by the TSP 14 . As input polarizations for both simulation and experiment we have chosen the following optimal set of polarization: …”

Section: Inequality In Accuracy Of Polarimetric Measurementsmentioning

confidence: 99%

“…Fig. 2 is a block scheme of apparatus for this purpose [3][4][5][6][7][8][9][10][11][12][13][14] . The polarization state generator (PSG) forms the polarization of light, which is incident on the studied object.…”

Section: Measurement Model Of Polarimetermentioning

confidence: 99%

Optimal Mueller polarimetry

Savenkov

2005

SPIE Proceedings

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“…During the measurements a Mueller polarimeter (Fig. 3) was used to determine the elements of the Mueller matrix using a direct modulation method [5].…”

Section: Introductionmentioning

confidence: 99%

Characteristics of light scattering by normal and modified areas of skin tissue

et al. 2011

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UDC (611.778+616.5):535Results from numerical calculations and experimental studies of the optical backscattering coefficients and changes in the polarization characteristics of normal and modified (birthmark, scar) skin tissue structures are presented. It is shown that determining the Mueller matrix is an effective way of detecting changes in the structure of skin tissue in vivo which reflects changes in the depolarization of light by an object for different polarization parameters of the incident (probe) radiation. The depolarization of light is found to be symmetric for normal areas of skin and antisymmetric for skin tissue with a modified structure. It is proposed that the polarization characteristics of scattered radiation be used in detecting damaged areas of skin tissue.

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Optimization and structuring of the instrument matrix for polarimetric measurements

Cited by 67 publications

References 22 publications

Error in determining Mueller matrix elements and its effect on solution of the inverse problem of polarimetry

Error in determining Mueller matrix elements and its effect on solution of the inverse problem of polarimetry

Optimal Mueller polarimetry

Characteristics of light scattering by normal and modified areas of skin tissue

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