Optical tomography of a birefringent medium

Andrienko, Yu. A.; Dubovikov, M. S.; Gladun, A. D.

doi:10.1364/josaa.9.001761

Cited by 13 publications

(5 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Previously, this inverse problem had not been addressed in the literature. Some studies, however, have analyzed the propagation of completely polarized light through layered birefringent media 37 and layered birefringent turbid media. 38 The N matrices, which refer to the effect, on the polarization of light, of an infinitesimal path length within an optical element, were introduced in 1948 by Jones 39 in light of the Jones calculus: For completely polarized light.…”

Section: Description Of the Inverse Problemmentioning

confidence: 99%

Axially resolved complete Mueller matrix confocal microscopy

Lara

Dainty

2006

Appl. Opt.

View full text Add to dashboard Cite

We introduce a technique that is capable of obtaining complete polarization-sensitive three-dimensional images that could reveal unknown anatomical conditions of living tissue that possess polarization-dependent signatures. Previously, the 16 Mueller coefficients were measured independently only by use of two-dimensional imaging techniques. We also present the experimental combination of a depth-resolved confocal imaging system with a complete Mueller matrix polarimeter. To calibrate the system, a double-pass method had to be implemented. We also indicate, experimentally, that the confocal sectioning of the system has a degrading effect on axially resolved Mueller matrix measurements.

show abstract

Section: Description Of the Inverse Problemmentioning

confidence: 99%

Axially resolved complete Mueller matrix confocal microscopy

Lara

Dainty

2006

Appl. Opt.

View full text Add to dashboard Cite

show abstract

“…The information about the change in the state of polarization of a light beam passing through the material is encoded in a two-dimensional unitary transfer matrix. The equation satisfied by the transfer matrix along a light ray is given in most accounts on photoelastic tomography [18][19][20][21][22][23][24], but the various approximations taken in the process of neglecting higher powers of ratios λ/l 0 and λ/l p are not always stated clearly; we therefore briefly summarize the necessary steps here:…”

Section: Equations Satisfied By the Transfer Matricesmentioning

confidence: 99%

“…However, these methods do not succeed in reconstructing the stress components separately and therefore the full stress tensor, and the linearly related dielectric tensor, can be obtained in this way only for systems exhibiting a certain degree of symmetry, such as an axial symmetry. Other methods of reconstruction have been suggested, for example, a three-beam measurement scheme [22], where for axisymmetric systems an onion-peeling reconstruction algorithm was proposed [23,24]. Another method, which in principle is capable of determining a general three-dimensional permittivity tensor, is the "load incremental approach" [25].…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography

Hammer

Lionheart

2005

J. Opt. Soc. Am. A

View full text Add to dashboard Cite

A method to reconstruct weakly anisotropic inhomogeneous dielectric tensors inside a transparent medium is proposed. The mathematical theory of integral geometry is cast into a workable framework that allows the full determination of dielectric tensor fields by scalar Radon inversions of the polarization transformation data obtained from six planar tomographic scanning cycles. Furthermore, a careful derivation of the usual equations of integrated photoelasticity in terms of heuristic length scales of the material inhomogeneity and anisotropy is provided, resulting in a self-contained account about the reconstruction of arbitrary three-dimensional, weakly anisotropic dielectric tensor fields.

show abstract

“…A lot of theoretical approaches for solving the problems of integrated photoelasticity have been offered for the difficult case of asymmetrical objects. The principle idea of these approaches consists in consideration of the problem from the viewpoint of optical tensor field tomography [3][4][5]. However, these considerations too often represent no more than theoretical suggestions in need of further experimental verifications.…”

Section: Introductionmentioning

confidence: 99%

Appearance of optical singularities at the light propagation through glasses with residual stresses

Krupych¹,

Vasylkiv²,

Kvasnyuk³

et al. 2012

Ukr. J. Phys. Opt.

View full text Add to dashboard Cite

Abstract. We have shown that residual stresses existing in isotropic glass media lead to appearance of polarisation singularities of optical wave front. These singularities are characterised by the strength of topological defect equal to 1/ 2  and should lead to the appearance of optical vortices with the topological charge 1  . Annealing of the samples has led to annihilation of the polarisation singularities, homogenisation of spatial distribution of the phase difference and zeroing of the latter, thus suggesting disappearance of the residual stresses. The role of the singularities revealed in solving the known problem of 3D stress tensor field reconstruction is discussed.

show abstract

Optical tomography of a birefringent medium

Cited by 13 publications

References 5 publications

Axially resolved complete Mueller matrix confocal microscopy

Axially resolved complete Mueller matrix confocal microscopy

Reconstruction of spatially inhomogeneous dielectric tensors through optical tomography

Appearance of optical singularities at the light propagation through glasses with residual stresses

Contact Info

Product

Resources

About