China
Africa
Explore chapters and articles related to this topic
Optical properties of relevance to nanomaterials
Published in Nils O. Petersen, Foundations for Nanoscience and Nanotechnology, 2017
Second, there is an angle at which the parallel polarization is not reflected 96% at all (r|| = 0) . This angle is called the Brewster’s Angle and depends on the arctangent of the ratio of the refractive index of the two materials. θB=arctannt/ni=tan-1nt/ni $$ {\theta _B}~ = ~arctan\left( {{n_t}/{n_i}} \right)~ = ~ta{n^{ - 1}}\left( {{n_t}/{n_i}} \right) $$
Propagation of Light
Published in Toru Yoshizawa, Handbook of Optical Metrology, 2015
The zero value of the curve for the parallel component in Figure 5.4 corresponds to the Brewster angle for glass θB = 56.60°. If light is incident at Brewster angle θB, the reflected wave contains only the electric field component perpendicular to the plane of incidence, since R║ = 0. Thus, the reflected light is completely polarized in the plane of incidence. Figure 5.4 shows that if the electric vector of the incident wave lies in the plane of incidence, all the energy of the wave incident at Brewster angle will be transferred into the transmitted wave, since there is no reflected wave with parallel polarization. Reflection at the Brewster angle is one of the ways of obtaining linearly polarized light.
Fresnel Equations
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
In the Fresnel equations, only the ratio of the refractive indices matters; the coefficients only depend on the ratio. Figure 8.17 shows the effect of the refractive index ratio, n = nt /ni on the Fresnel intensity transmission coefficients. As the refractive index ratio increases, the normal incidence transmission decreases and Brewster’s angle increases. The separation between the s- and p-coefficients occurs more rapidly at higher index. Again, no retardance is present with these purely real refractive indices.
Transfer of the spin of an electromagnetic wave to an ideal conductor
Published in Journal of Modern Optics, 2022
When a circularly polarized wave is normally incident on a reflector, the helicity of the reflected wave is opposite to that of the incident wave, regardless of whether the dielectric or conductor serves as a reflector. A difference arises as the angle of incidence increases. At the Brewster angle of the dielectric, the electric field in the plane of incidence is not reflected at all. Therefore, the reflected wave is linearly polarized. With a further increase in the angle of incidence, the circular (elliptical) polarization of the reflected wave is restored, but now its helicity coincides with the helicity of the incident wave. Therefore, interference fringes are consistently observed in Lloyd's usual experiment.
Optical broadband angular filters based on staggered photonic structures
Published in Journal of Modern Optics, 2018
Jiayang Guo, Shaofei Chen, Shaoji Jiang
It can be easily proved that θBH and θBL follow Snell’s law, which means that if the angle of incidence in either material is the Brewster angle, the p-polarized light will propagate in both materials with their Brewster angles. This means that p-polarized light that is incident at the Brewster angle will be transmitted through these structures regardless of the light’s wavelength (17,25). However, if the structure is placed in air (ni = 1), the mode in the air is coupled to the Brewster mode with the following angle:
Lateral shifts and angular deviations of Gaussian optical beams reflected by and transmitted through dielectric blocks: a tutorial review
Published in Journal of Modern Optics, 2019
Stefano De Leo, Gabriel G. Maia
This symmetry breaking effect of the beam was the subject analysed in Section 6, where we showed it to be responsible for angular shifts. We calculated analytical expressions for such shifts in the region between the Brewster and the critical regions. An optical beam is a packet of plane waves, each with an incidence angle following the beam's angular distribution. The propagation direction of the beam is given by the incidence angle of the distribution's centre, which is the main contribution to the packet. When light interacts with a dielectric interface the Fresnel's coefficients break the symmetry of this distribution, favouring the transmission (reflection) of plane waves other than the one originally at the centre of the beam. This shifts the mean intensity point of the beam, which now propagates in a slight different direction than the incident angle would have it propagate, according to Geometrical Optics. This is the trigger behind angular deviations. All the effects we have discussed are dependent on polarization states because the Fresnel coefficients discriminate between such states. For angular deviations, in particular, an important result arises from this fact. The Brewster angle does not reflect TM-polarized light and, consequently, since beams have an angular aperture around their centre, a TM-polarized beam has its symmetry more strongly broken at this point, yielding a greater angular deviation. How to interpret such deviations in the Brewster region, however, is still an open topic. Incidence at the Brewster angle turns a Gaussian distribution into a double-peaked structure, which makes the concept of angular deviations hazy. In the literature on the subject, it is possible to find analyses of the deviations underwent by each peak separately as well as by the mean intensity of the whole structure, which, similarly to the centre of mass of a boomerang, is outside the portion of space that contains the bulk of the electric field.