Based on angular spectrum expansion and 4x4 matrix theory, our works have combined the traditional vortex optical theory with the latest Topological insulator (TI) to present the reflection and transmission characteristics of an Laguerre Gaussian (LG) beam from a multilayered topological insulator slab. The reflected and transmissed beam intensities from three-layered TI slab are numerically simulated. It is shown that the distortion of intensity distribution is greatly affected by the topological magneto-electric polarizability of TI. The method presented in this article not only colud be extended to different TI-layers but could reveal unusual photonic band structures and band gaps in TI photonic crystals in further research.
Cirrus scattering is not only related to the angle of incidence, the angle of scattering, the wavelength, and the polarization state of the light, but also closely related to the roughness of the subsurface of the ice crystal. In this paper, we study different hexagonal plate-shaped ice crystals that are subject to standard gamma distribution with smooth, moderately rough and severe roughness.Scattering characteristics such as extinction coefficient, absorption coefficient and phase matrix of the cirrus cloud are compared to compare the effects of ice crystallites on the scattering characteristics under different surface roughness. The results show that under the same conditions, the rougher the surface of the ice crystals, the smaller the extinction coefficient and the single scattering albedo of the cirrus, the larger the absorption coefficient of the cirrus; the smoother the curve of the six elements of the phase function, the phase matrix The impact is also greater. Therefore, the surface roughness of the ice crystal grains has a great influence on the bulk scattering characteristics of the cirrus clouds. The work done in this paper will further study the influence of the surface roughness of ice crystals on the radiation transmission characteristics of cirrus clouds and the bulk scattering and radiation transmission characteristics of cirrus clouds. It is of great significance for target detection, tactical applications and free-space optical communication.
In this paper, we simulate cylindrical and conical aircraft’s Doppler spectra caused by its spin. The characteristics of Doppler shift spectra and backscattered power are analyzed when the reflectance of aircraft surface material is Lambert and exponential terms. The results show that the Doppler frequency shift is doubled as well as the radius is doubled with the same height. When the radius remains unchanged and the height increases, the backscattered power increases. Compared with the Lambertian case, the backscattered power in the exponential case decreases faster with the Doppler shift from the peak and increases faster with time. These findings results can be used to detect flying targets in space.
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