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Polarized electromagnetic waves
Published in José J. Gil Pérez, Razvigor Ossikovski, Polarized Light and the Mueller Matrix Approach, 2017
José J. Gil Pérez, Razvigor Ossikovski
Let us now consider the particular case where the quantities Ay(t)/Ax(t) and δ(t) remain constant in time, and consequently, the shape of the polarization ellipse remains fixed during the measurement time. The corresponding state of polarization is described by means of the Jones vector (Jones 1941), ε=(εxεy)=(axe−iδ(t)/2ayeiδ(t)/2)
Polarization
Published in Myeongkyu Lee, Optics for Materials Scientists, 2019
Thus, the Jones vector represents the amplitude and phase of the electric field in the x- and y-directions. Note that the physical electric field is the real part of this vector. When the light is linearly polarized with its E vector oscillating along the x-axis, as shown in Figure 7.6a, we have () Ea=Eox[10].
Stokes Parameters and the Poincaré Sphere
Published in Russell A. Chipman, Wai-Sze Tiffany Lam, Garam Young, Polarized Light and Optical Systems, 2018
Russell A. Chipman, Wai-Sze Tiffany Lam, Garam Young
The Jones vector has units of volts per meter while the Stokes parameters have units of watts per meter squared, Sets of Stokes parameters describing fully polarized light are readily converted into equivalent Jones vectors, and vice versa. Equivalent means both the Jones vector and Stokes parameters describe a beam with the same polarization ellipse and flux. The Stokes parameters, however, will not specify the light’s phase. For a partially polarized beam, the polarized part of the flux PP is
Investigation of a polarization-based Cr:forsterite laser resonator cavity
Published in Journal of Modern Optics, 2021
Siba Prasad Sahoo, V. S. Rawat, Jaya Mukherjee, Swarupananda Pradhan
The reflectivity value of the output coupler is governed by the polarization state of the intracavity beam at the I-PBS returning from the mirror M2/M3 of the resonator cavity as shown in Figure 1. The intracavity beam travels twice through the retardation plate in the polarization-based cavity. The intracavity beam from M1 to I-PBS is vertically polarized and the transmitted beams (forward as well as backward) through the I-PBS are horizontally polarized. The transmitted beam along the length of the crystal is the leakage beam due to polarization impurity as well as finite extinction ratio of I-PBS, whereas the transmitted beam in the orthogonal direction is the controlled (by the angle of the retardation plate) laser output beam. This output coupler reflectivity can be calculated from the angle of the retardation plate using the Jones matrix. In Jones matrix formalism, the polarized light is represented by a 2 × 1 Jones vector, and the polarizing components are described by a 2 × 2 Jones matrix. The Jones vector for a vertically polarized light is given by and the Jones matrix for a rotated retardation plate is given by [36] where Φ is the retardation of the wave plate and θ is the angle of rotation of the retardation plate. The resultant Jones matrix equation for the polarization-based resonator cavity is
Optimisation of stratified anisotropic media for security films
Published in Liquid Crystals, 2023
Aleksey Kudreyko, Fan Fan, Vladimir Chigrinov, Wanqing Song
Consider a quarter wave plate with two-domain structure, where (see Figure 1(b)) and covered by a polariser with a transmission axis oriented at angle β = 45°. Note that the switch state of the polariser and the wave plate is changed by reversing its order (see Figure 1(a) and the supplementary video). The polarisation state of the transmitted light is described by the Jones vector, where the incident light is either left- or right-handed circular polarised (see Equation (2)).
An optical channel modeling of a single mode fiber
Published in Journal of Modern Optics, 2018
Neda Nabavi, Peng Liu, Trevor James Hall
Since single mode fibre supports two orthogonal polarization modes, the electrical field of the signal can be represented using a Jones vector (8,45). The polarization of light guided by a single mode optical fibre evolves along the axis of fibre according to: