Fig 1 - uploaded by Qing Chao Shang
Content may be subject to copyright.
Light interaction with chiral interface. (a) Achiral-chiral interface. (b) Chiral-achiral interface.
Source publication
Research on light scattering from a large chiral sphere shows that the rainbow phenomenon is different from that of an isotropic sphere. A chiral sphere with certain chirality generates three first-order rainbows. In this Letter, we present a geometric optics interpretation for the phenomenon and make a calculation of the rainbow angles. The ray tr...
Contexts in source publication
Context 1
... the ray traces in a chiral sphere, an introduction to the reflection and refraction of light at the achiral-chiral interface and the chiral-achiral interface is necessary. Much study was devoted to it several years ago [10][11][12][13] . Consider a light ray impinging on an achiralchiral interface with an incidence angle θ i , as shown in Fig. 1(a). n 0 is the refractive index of the isotropic medium and k i is the wave number of the incident light. There will be two transmitted rays in the chiral medium. One is an RCP ray with refracted angle θ R and the other is an LCP ray with refracted angle θ L . The continuity of the tangential components of the wave vectors in the two ...
Context 2
... the chiral-achiral interface, suppose that an RCP ray illuminates the interface with an incident angle θ i . There will be two reflected rays in the chiral medium and one transmitted ray in the general isotropic medium, as shown in Fig. 1(b). Similarly, the reflected angles and the refracted angle can be obtained ...
Context 3
... rainbow is formed by transmitted rays after one internal reflection of the incident light ray. Similarly, to explain first-order chiral sphere rainbows and calculate the rainbow angles, we need to determine the transmitted rays after one internal reflection. According to the illustration of the light interaction with the chiral interface in Fig. 1, it can be inferred that a linearly polarized ray incident at the surface of a chiral sphere generates a refracted RCP ray and a refracted LCP ray inside the sphere. Each refracted ray inside the sphere generates two reflected rays after one internal reflection. Thus, there are four total transmitted rays outside the sphere after one ...
Similar publications
Aiming at the problem of the network optimization of the signal base station in the urban environment, the ray tracing algorithm is used to model the urban cell and the wireless channel. By calculating the reference signal power of the receiving equipment, the received signal strength of each position in the cell radiated by different base stations...
We apply advanced ray tracing to predict the color of an encapsulated solar cell. Previous studies have predicted the color from the thickness and refractive index of the antireflection coating and encapsulants. Here, we demonstrate how other effects influence the color significantly, applying ray tracing to account for texture, for direct and diff...
Photon recollision probability p is a spectrally invariant structural parameter and a powerful tool to link canopy optical properties at any wavelengths to model reflectance, transmittance, or absorption of vegetation canopies. The concepts of the p-theory have been reported and examined at the shoot and canopy scales, but not yet for the crown lev...
This thesis introduces scalable techniques that advance the state-of-the-art in massive model creation and exploration. Concerning model creation, we present methods for improving reality-based scene acquisition and processing, introducing an efficient implementation of scalable out-of-core point clouds and a data-fusion approach for creating detai...
Citations
... Over the past few decades, the light scattering of plane waves by various chiral particles has been extensively investigated. Many methodologies have been developed to analyze this problem, for instance, analytical solutions based on the vector wave functions [22][23][24][25][26][27][28], numerical techniques including the method of moments (MoM) [29,30], the finite difference time domain method [31], the finite difference frequency domain method [32], and the high frequency method based on geometrical optics approximation [33,34]. Recently, there has been increasing interest in the study of light scattering by various chiral particles illuminated by laser beams with special amplitude, phase, and polarization distributions. ...
Laguerre–Gaussian (LG) beams with vortex phase possess a handedness, which would produce chiroptical interactions with chiral matter and may be used to probe structural chirality of matter. In this paper, we numerically investigate the light scattering of LG vortex beams by chiral particles. Using the vector potential method, the electric and magnetic field components of the incident LG vortex beams are derived. The method of moments (MoM) based on surface integral equations (SIEs) is applied to solve the scattering problems involving arbitrarily shaped chiral particles. The numerical results for the differential scattering cross sections (DSCSs) of several selected chiral particles illuminated by LG vortex beams are presented and analyzed. In particular, we show how the DSCSs depend on the chiral parameter of the particles and on the parameters describing the incident LG vortex beams, including the topological charge, the state of circular polarization, and the beam waist. This research may provide useful insights into the interaction of vortex beams with chiral particles and its further applications.
... Wu et al. [20] introduced logarithmic derivatives and ratios of Riccati-Bessel functions to calculate electromagnetic scattering of a plane wave by a large chiral sphere, which improved the stability of the algorithm. Moreover, the authors [21] successfully interpreted rainbow structures by geometrical optics. The scattering of a Gaussian beam by a chiral sphere was derived by Zhu et al. [22]. ...
Scattering of a 1D Airy beam light sheet by a chiral sphere is numerically studied within Mie theory and the plane-wave spectrum method. To testify to the validity of our code and method, the results of scattering intensity of a chiral sphere by an Airy beam light sheet reducing to a homogeneous isotropic sphere are compared with those in existing literature, which shows that these results are in good agreement. Influences of different parameters on differential scattering cross sections in the far field are investigated in detail, including the chiral parameters, sphere radius, and beam position. It is found in the scattering intensity of an Airy beam by a chiral sphere that the chiral sphere, which is compared with a homogeneous isotropic sphere, can decrease the scattering intensity in a region, and the scattering intensity distribution is sensitive to the x 0 position of the Airy beam.
The geometrical optics approximation (GOA) method is extended to the forward light scattering of a large-sized isotropic chiral medium (ICM) spherical particle illuminated by a polarized plane wave. Based on the boundary conditions, the reflection and refraction Fresnel coefficients at the surface of a chiral sphere are revisited. Expressions of the scattering fields are derived by a combination of the amplitudes of the externally reflected, the directly refracted, and the diffracted waves, where effects of polarization and the phase shift are taken into consideration. Numerical results of co-polarized and cross-polarized scattering intensity distributions of a large-sized ICM sphere are presented. Effects of the chiral parameter, permittivity, and size parameter of the sphere on the scattering patterns are investigated in detail.
