Change in the direction of the polarization vector and redshift of an incoming light ray as observed from a rotating frame

2020 ◽  
Vol 98 (5) ◽  
pp. 433-441
Author(s):  
T. Ghosh ◽  
A.K. Sen

In the present work, the change in the direction of the polarization vector of an incoming light ray is extensively calculated for a rotating observer. The change in the direction of the polarization vector calculated here is only due to the effect of the non-inertial rotating frame, considering that the light source is at a distance and it is emitting plane-polarized light. The metric tensors for a rotating observer have been collected from existing literature. Accordingly, the electric displacement and magnetic induction values as applicable for a rotating observer have been calculated. These values are used to calculate the change in the orientation of the electric vector of an incoming plane-polarized light ray. Earth has been taken as an example of a rotating frame and the calculated amount of change in the direction of the polarization vector has been found to be dependent on the azimuthal and polar coordinates of the rotating frame. The present work also discusses the redshift as observed by a rotating observer and the value of the redshift has been calculated for an observer sitting on a rotating earth.

Author(s):  
R. Alley ◽  
M. Woods ◽  
M. Browne ◽  
J. Frisch ◽  
M. Zolotorev
Keyword(s):  

Author(s):  
Robert E. Newnham

When plane-polarized light enters a crystal it divides into right- and lefthanded circularly polarized waves. If the crystal possesses handedness, the two waves travel with different speeds, and are soon out of phase. On leaving the crystal, the circularly polarized waves recombine to form a plane polarized wave, but with the plane of polarization rotated through an angle αt. The crystal thickness t is in mm, and α is the optical activity coefficient expressed in degrees/mm. The polarization vector of the combined wave can be visualized as a helix, turning α ◦/mm path length in the optically-active medium. Because of the low symmetry of a helix, optical activity is not observed in many high symmetry crystals. Point groups possessing a center of symmetry are inactive. In relating α to crystal chemistry it is convenient to divide optically-active materials into two categories: Those which retain optical activity in liquid form, and those which do not. It has long been known that optically-active solutions crystallize to give optically-active solids. This follows from the fact that molecules lacking mirror or inversion symmetry can never crystallize in a pattern containing such symmetry elements. Thus one way of obtaining optically-active materials is to begin with optically-active molecules, as in Rochelle salt, tartaric acid and cane sugar. Few of these crystals are very stable, however, and the optical activity coefficients are usually small, typically 2◦/mm. The same is true of many inorganic solids, though they are seldom optically active in the liquid state. For NaClO3 and MgSO4·7H2O, α is about 3◦/mm. Quartz and selenium, however, have coefficients an order of magnitude larger, showing the importance of helical structures to optical activity. Both compounds crystallize as right- and left-handed forms in space groups P312 and P322, with helices spiraling around the trigonal screw axes. Quartz contains nearly regular SiO4 tetrahedra with Si–O distances of 1.61 Å. Levorotatory quartz belongs to space group P312 and contains right-handed helices; enantiomorphic dextrorotatory quartz crystallizes in P322. Trigonal selenium also contains helical chains.


2020 ◽  
Vol 2 (4) ◽  
pp. 1726-1732 ◽  
Author(s):  
Chia-Jung Wu ◽  
Yi-Yun Chen ◽  
Cheng-Jie Wang ◽  
Guo-Yi Shiu ◽  
Chin-Han Huang ◽  
...  

Polarization-dependent reflectance spectra of the pipe-GaN reflector show that it can be used as a polarized light source.


Author(s):  
APC Marques ◽  
PC Oliveira ◽  
J Reis Junior ◽  
I Castro ◽  
JSC Monteiro ◽  
...  

2014 ◽  
Vol 81 (7) ◽  
Author(s):  
Yue-Ting Zhou ◽  
Zheng Zhong

An exact analysis on frictional contact between a rigid punch and anisotropic magneto-electro-elastic materials is performed, within the framework of the fully coupled theory. The indenter moves relative to magneto-electro-elastic materials, and Coulomb friction law is used. The mixed boundary value problem is reduced to singular integral equations of the second kind with analytical solution presented. For a triangular or semiparabolic indenter, explicit expression for surface physical in-plane stress, electrical displacement and magnetic induction are obtained. Influences of the friction coefficient and the volume fraction on contact behaviors are detailed under the prescribed contact loading conditions. Under either a triangular or semiparabolic indenter, the surface in-plane stress, electric displacement and magnetic induction are discontinuous and unbounded around the leading edge, and such a serious near-edge response can be relieved through adjusting the values of the friction coefficient or the volume fraction.


2009 ◽  
Author(s):  
Juliana S. D. C. Monteiro ◽  
Katia V. M. de Moura ◽  
Cibelle B. Lopes ◽  
Cristina P. Soares ◽  
Antonio L. B. Pinheiro

2018 ◽  
Vol 2 (4) ◽  
Author(s):  
Manu Mitra

Abstract: Quantum dots have interesting optical properties. They absorb incoming light of one color and emit out light of a completely different color. This research paper discloses eigen states of a simple and multilayer quantum dot in various structures for cuboid, cylinder, dome, cone, and pyramid, and its three-dimensional wave function, energy states, light and dark transitions (X-polarized), light and dark transitions (Y-polarized), light and dark transitions (Zpolarized), light and dark transitions (phi = 0 and theta= 45), absorption (phi = 0 and theta = 45), absorption sweep of angle theta, and integrated absorption are plotted and the observations of high peak values are noted and documented.


2020 ◽  
pp. 2150127
Author(s):  
Dongsheng Yang ◽  
Guanting Liu

Based on the Gurtin–Murdoch surface/interface model and complex potential theory, by constructing a new conformal mapping, the anti-plane fracture problem of three nano-cracks emanating from a magnetoelectrically permeable triangle nano-hole in magnetoelectroelastic materials with surface effect is studied. The exact solutions of the stress intensity factor, the electric displacement intensity factor, the magnetic induction intensity factor, and the energy release rate are obtained under the boundary conditions of magnetoelectrically permeable and impermeable. The numerical examples show the influence of surface effect on the stress intensity factor, the electric displacement intensity factor, the magnetic induction intensity factor, and the energy release rate under two different boundary conditions. It can be seen that the surface effect leads to the coupling of stress, electric and magnetic field, and with the increase of cavity size, the influence of surface effect begins to decrease until it tends to classical elasticity theory.


2019 ◽  
Vol 25 (2) ◽  
pp. 374-388
Author(s):  
GE Tupholme

Derivations and discussions are obtained in detail of the closed-form representations of the components of the deformation fields at a general point created by a moving row of smart magnetoelectroelastic shear cracks that are subjected to non-uniform mechanical, electric, and magnetic loadings. The creative analysis exploits a generalization of the basic dislocation layer method. Near a crack tip, their angular variations and the corresponding stress, electric displacement and magnetic induction intensity factors are deduced. Graphical displays of some illustrative numerical data are presented. As a particular case, the results for an analogous stationary row of non-constantly loaded magnetoelectroelastic cracks are derived. The correctness and validity of the results of this novel analysis are examined by the verification of their agreement with those previously presented for various limiting particular cases.


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