The Jones Matrix Formalism

2010 ◽  
pp. 201-231
Keyword(s):  
Jones Matrix ◽  
Matrix Formalism

scholarly journals Jones-matrix formalism as a representation of the Lorentz group

1997 ◽  
Vol 14 (9) ◽  
pp. 2290 ◽  
Author(s):  
D. Han ◽  
Y. S. Kim ◽  
Marilyn E. Noz
Keyword(s):  
Lorentz Group ◽  
Jones Matrix ◽  
Matrix Formalism

scholarly journals A Jones matrix formalism for simulating three-dimensional polarized light imaging of brain tissue

2015 ◽  
Vol 12 (111) ◽  
pp. 20150734 ◽  
Author(s):  
M. Menzel ◽  
K. Michielsen ◽  
H. De Raedt ◽  
J. Reckfort ◽  
K. Amunts ◽  
...  
Keyword(s):  
Myelin Sheath ◽  
Experimental Studies ◽  
Three Dimensional ◽  
Polarized Light ◽  
Microscopic Model ◽  
Macroscopic Model ◽  
Jones Matrix ◽  
Matrix Formalism ◽  
Nerve Fibres ◽  
Polarized Light Imaging

The neuroimaging technique three-dimensional polarized light imaging (3D-PLI) provides a high-resolution reconstruction of nerve fibres in human post-mortem brains. The orientations of the fibres are derived from birefringence measurements of histological brain sections assuming that the nerve fibres—consisting of an axon and a surrounding myelin sheath—are uniaxial birefringent and that the measured optic axis is oriented in the direction of the nerve fibres (macroscopic model). Although experimental studies support this assumption, the molecular structure of the myelin sheath suggests that the birefringence of a nerve fibre can be described more precisely by multiple optic axes oriented radially around the fibre axis (microscopic model). In this paper, we compare the use of the macroscopic and the microscopic model for simulating 3D-PLI by means of the Jones matrix formalism. The simulations show that the macroscopic model ensures a reliable estimation of the fibre orientations as long as the polarimeter does not resolve structures smaller than the diameter of single fibres. In the case of fibre bundles, polarimeters with even higher resolutions can be used without losing reliability. When taking the myelin density into account, the derived fibre orientations are considerably improved.

scholarly journals Mapping of polycrystalline films of biological fluids utilizing the Jones-matrix formalism

Laser Physics ◽  
2018 ◽  
Vol 28 (2) ◽  
pp. 025602 ◽  
Author(s):  
Vladimir A Ushenko ◽  
Alexander V Dubolazov ◽  
Leonid Y Pidkamin ◽  
Michael Yu Sakchnovsky ◽  
Anna B Bodnar ◽  
...  
Keyword(s):  
Biological Fluids ◽  
Jones Matrix ◽  
Matrix Formalism ◽  
Polycrystalline Films

A treatment of the equatorial magnetic Kerr effect using the 4 × 4 matrix formalism

1994 ◽  
Vol 72 (3-4) ◽  
pp. 134-140
Author(s):  
D. J. De Smet
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Kerr Effect ◽  
Polarized Light ◽  
Jones Matrix ◽  
Matrix Formalism

Expressions for the elements of the Jones matrix describing the reflection of polarized light from a material with an applied static magnetic field directed parallel to the intersection of the plane of incidence and the plane of the surface are derived using the 4 × 4 matrix formalism.

Extension of the Jones matrix formalism to higher-order transverse modes

2006 ◽  
Vol 32 (1) ◽  
pp. 83 ◽  
Author(s):  
Andreas Voss ◽  
Marwan Abdou Ahmed ◽  
Thomas Graf
Keyword(s):  
Higher Order ◽  
Jones Matrix ◽  
Matrix Formalism ◽  
Transverse Modes

scholarly journals Optimization of magneto-optical Kerr setup: Analyzing experimental assemblies using Jones matrix formalism

2008 ◽  
Vol 79 (5) ◽  
pp. 055107 ◽  
Author(s):  
S. Polisetty ◽  
J. Scheffler ◽  
S. Sahoo ◽  
Yi Wang ◽  
T. Mukherjee ◽  
...  
Keyword(s):  
Jones Matrix ◽  
Matrix Formalism
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