الفهرس 
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Abstract
The aim of this study is to understand the propagation of structured light beams (SLB) at an arbitrary angle through anisotropic media (uniaxial crystals). This kind of beams have obtained huge attention in the past few decades due to their importance and various applications in many scientific and technological fields. However, it is not trivial to study their propagation at an arbitrary direction in different media. The vast majority of research focused on studying SLB propagation in uniaxial crystals either parallel or perpendicular to it’s optical axis. Only few papers have studied the propagation at an arbitrary angle and they are, in fact, insufficient to open the door for fully understanding the SLB propagation in birefringent media. The solution of the vectorial wave equation (vwe) for a propagating light at an arbitrary angle has been published, recently, for the special case of quasi-Gaussian beam.
In the current work, a theoretical model was derived to describe polarization based
Transformations of monochromatic light propagating at an arbitrary angle. The polarization states transformations have been described in terms of the well-known Stokes parameters. Moreover, we employed the given model to calculate the spin angular momenta of the propagating beam through uniaxial crystals. In addition, an experimental setup has been proposed for measuring Stokes parameters in case of a Gaussian beam propagating, arbitrarily, through quartz crystals.
The results showed that polarization is affected by many parameters, including the angle of propagation, the beam width and thickness of the propagation medium. Calculations showed, also, that the spin angular momentum of field’s transverse components have been dramatically affected by the studied parameters. Interestingly, a non-negligible longitudinal field’s component has been observed for certain propagation parameters into rutile crystal. The comparison between theoretical and experimental results has done and showed a good agreement.
The obtained results will open the door for more studies and applications. For example they can expand the range of uniaxial crystal’s applications because of the additional information obtained from the theoretical model for polarization and propagation at an arbitrary angle. This will be of great importance in many research fields like metrology, communication, information processing, super resolution imaging, building custom-made lasers...etc.