• Corpus ID: 119092540

The spinorial representation of polarized light and Berry phase

@article{Banerjee2011TheSR,
  title={The spinorial representation of polarized light and Berry phase},
  author={Dipti Banerjee},
  journal={arXiv: Optics},
  year={2011}
}
From relativistic point of view it has been shown here that a polarized photon can be visualized to give an equivalent spinorial description when the two-component spinor is the eigenvector of $2\times2$ Hermitian, Polarization matrix. The Berry phase of the initial state can be calculated by matrix method as it complete one rotation over a closed path on the Poincare's sphere. 
3 Citations
The study of birefringent homogenous medium with geometric phase
The property of linear and circular birefringence at each point of the optical medium has been evaluated here from differential matrix N using the Jones calculus. This matrix lies on the OAM sphere
Quantifying phases in homogenous twisted birefringent medium.
TLDR
The representation of polarized photon, polarization matrix, and birefringent matrix are expressed in the l=1 orbital angular momentum (OAM) sphere where the corresponding GP is OAM dependent.

References

Geometric Quantization
We review the definition of geometric quantization, which begins with defining a mathematical framework for the algebra of observables that holds equally well for classical and quantum mechanics. We