# The study of birefringent homogenous medium with geometric phase

@article{Banerjee2011TheSO, title={The study of birefringent homogenous medium with geometric phase}, author={Dipti Banerjee}, journal={Journal of Optics}, year={2011}, volume={45}, pages={99-105} }

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 for l = 1 orbital angular momentum. The geometric phase is developed by twisting the medium uniformly about the direction of propagation of the light ray. The circular birefringence of the medium, is visualized through the solid angle and the angular twist per unit thickness of the medium, k, that is…

## One Citation

## References

SHOWING 1-10 OF 21 REFERENCES

### Geometric phase from a dielectric matrix

- Physics
- 2006

The dielectric property of the anisotropic optical medium is ascertained by considering the polarized photon as a two-component spinor of spherical harmonics. The geometric phase of a…

### Light propagation in a birefringent plate with topological charge.

- PhysicsOptics letters
- 2009

The Fresnel paraxial propagator in a birefringent plate having topological charge q at its center, named "q-plate" is calculated and it is found that if small losses due to reflection, absorption, and scattering are neglected, the plate can convert the photon spin into orbital angular momentum with up to 100% efficiency provided the thickness of the plate is less than the Rayleigh range of the incident beam.

### Geometric phase in optics and angular momentum of light

- Physics
- 2004

Abstract The Physical mechanism of the geometric phase in terms of angular momentum exchange is elucidated. It is argued that the geometric phase arising out of the cyclic changes in the transverse…

### Propagation of partially polarized light through anisotropic media with or without depolarization: A differential 4 × 4 matrix calculus

- Physics
- 1978

We extend the scope of the Mueller calculus to parallel that established by Jones for his calculus. We find that the Stokes vector S of a light beam that propagates through a linear depolarizing…

### Mechanical Detection and Measurement of the Angular Momentum of Light

- Physics
- 1936

The electromagnetic theory of the torque exerted by a beam of polarized light on a doubly refracting plate which alters its state of polarization is summarized. The same quantitative result is…

### Geometric phase associated with mode transformations of optical beams bearing orbital angular momentum.

- PhysicsPhysical review letters
- 2003

These measurements were done via the interference of two copropagating optical beams that pass through the same interferometer parts but acquire different geometric phases, and the method is insensitive to dynamical phases.

### A New Calculus for the Treatment of Optical Systems. IV.

- Physics
- 1942

Part IV is divided into two sections. The first is devoted to some additions to the general theory developed in Part I, and the second section to the derivation of the matrices representing two…

### Generalized theory of interference and its applications

- Physics
- 1956

SummaryThe superposition of two partially coherent but completely polarised beams is discussed. The formula for the intensity of the resultant beam is obtained from the interference formula for…

### The spinorial representation of polarized light and Berry phase

- Physics
- 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…

### A New Calculus for the Treatment of Optical Systems. VII. Properties of the N-Matrices

- Mathematics
- 1948

The preceding papers of this series have examined the properties of an optical calculus which represented each of the separate elements of an optical system by means of a single matrix M. This paper…