Mueller matrix interpolation in polarization optics

Devlaminck, Vincent

doi:10.1364/josaa.27.001529

Cited by 8 publications

(7 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is the way used by Arsigny [14] to define the LE distance on Symmetric Positive Definite matrices. Proving that this distance can easily be extended to HPD(4) matrices and is well adapted to coherency matrix interpolation was done in [11].…”

Section: Log-euclidean Distance On Coherency Matrix Spacementioning

confidence: 99%

“…Following the definition of the LE distance, interpolating from H 1 =H(0) to H 2 =H(1) consists in changing the proportion of both the elements D 1 =log(H 1 ) and D 2 =log(H 2 ) constituting the thin laminae (see [11] for more details). This medium is thus characterized by an infinitesimal generator D = (1-t).D 1 + t.D 2 .…”

Section: Log-euclidean Distance On Coherency Matrix Spacementioning

confidence: 99%

“…In a recent paper [11], we addressed the question of interpolation of the coherency matrix. For the denoted Log-Euclidean (LE) process, we demonstrated the physical meaning of this interpolation process is founded on a very similar approach to the layered-medium interpretation proposed by Jones.…”

Section: -Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Characterization of a medium by estimating the constituent components of its coherency matrix in polarization optics

Devlaminck¹,

Terrier²,

Charbois³

2011

Opt. Express

Self Cite

View full text Add to dashboard Cite

Section: Log-euclidean Distance On Coherency Matrix Spacementioning

confidence: 99%

Section: Log-euclidean Distance On Coherency Matrix Spacementioning

confidence: 99%

See 1 more Smart Citation

Characterization of a medium by estimating the constituent components of its coherency matrix in polarization optics

Devlaminck¹,

Terrier²,

Charbois³

2011

Opt. Express

Self Cite

View full text Add to dashboard Cite

“…The implementation of the Mueller matrix introduces to each pixel in an image is named Mueller imaging [8,9]. ]Another representation of interaction of polarized light with media, named Jones matrix does not permit for changes such as degree of polarization, depolarization of beam incident on sample or emerging from it [10].…”

Section: Introductionmentioning

confidence: 99%

Mueller imaging of blood cells

et al. 2015

View full text Add to dashboard Cite

The polarization parameters of light transmitted through biological cells contain morphological and functional information for biomedical purposes. As more imaging became available to research applications, Mueller imaging's importance has increased regularly in biomedical approach over the years. This paper summarizes the context of Mueller imaging and polarization optical analysis on blood cells for medical applications. Basically this method is related to Mueller Matrix Imaging Polarimetry. Knowing all 16-element Mueller matrix using 36 independent polarization states completely describes the blood cells in terms of birefringence properties.

show abstract

“…Several recent studies have demonstrated that the relevant information of turbid media can be derived by analyzing the backscattered polarization patterns of the sample [5][6][7][8][9][10][11][12][13][14] . All these studies are aiming at analyzing sample's properties using polarization patterns.…”

mentioning

confidence: 99%

Discriminating optical parameters in double-layer turbid media by backscattered polarization patterns

Yang

2011

Optoelectron. Lett.

View full text Add to dashboard Cite

In this letter a Monte Carlo (MC) algorithm is used to simulate the propagation of polarized light in double-layer turbid media and the 2-dimentional backscattered Stokes vectors and Mueller matrices are obtained. Relationships between backscattered Mueller matrix and optical properties, such as scattering, absorption and layered structure, are discussed in detail. Integrating the 2-dimentional Mueller matrix elements along radial and azimuthal directions, we obtain a reverse trend with respect to the optical parameters for upper and lower layers, which suggests possibilities for discriminating subtle optical properties in a double-layer structure using backscattered polarization patterns such as Mueller matrix.The researches on light propagation in turbid media have attracted significant interest because of its practical applications, especially in noninvasive optical diagnosis and imaging through biological tissues [1][2][3][4] . Several recent studies have demonstrated that the relevant information of turbid media can be derived by analyzing the backscattered polarization patterns of the sample [5][6][7][8][9][10][11][12][13][14] . All these studies are aiming at analyzing sample's properties using polarization patterns. In this paper we extend the existing approaches and induce integration functions to discuss the influence of optical properties, such as absorption and scattering, on backscattered polarization patterns, and the results show that it is feasible to discriminate the optical parameters in doublelayer turbid media.Light transport behavior in turbid media can be well described by Boltzmann transport equation (BTE), but the analytical solution to the BTE is difficult to obtain in the strongly scattered bio-tissue applications. Monte Carlo (MC) method offers a versatile platform for solving such equations by numerical computation. In this letter the MC method is applied under following assumptions: elastic scattering, steady state, independent scattering events, and no coherent effects. Changes in polarization, when photons are scattered, are conducted in the far-field approximation. The polarized patterns of the media are calculated by tracing a large number of phonons and averaging their corresponding Stokes vectors and Mueller matrix. The standard Wang-Jacques MC model and polarized MC computation method have been discussed in detail [15][16][17][18] , and the differences between the present study and those reports are as follows.Refractive index mismatch is considered when a phonon walks across the boundary. The reflective and refractive instants are incorporated by reflective matrix M r and refractive-matrix M t , which are derived from Fresnel's law and Snell's law respectively:

show abstract

Mueller matrix interpolation in polarization optics

Cited by 8 publications

References 16 publications

Characterization of a medium by estimating the constituent components of its coherency matrix in polarization optics

Characterization of a medium by estimating the constituent components of its coherency matrix in polarization optics

Mueller imaging of blood cells

Discriminating optical parameters in double-layer turbid media by backscattered polarization patterns

Contact Info

Product

Resources

About