Qing Chao Shang

Xidian University · School of Physics and Optoelectronic Engineering

An iterative method is proposed for dealing with scattering from a multilayered chiral sphere in Lorenz-Mie regime in the authors’ previous work. In this paper the research is extended on the internal fields and near fields. By using four intermediate variables in each region of the multilayered chiral sphere, an iterative relationship of expansion...

The average intensity of the multiple Bessel Gaussian beams (mBGBs), which comprise the summation of the Bessel function and a Gaussian function, are investigated based on the extended Huygens-Fresnel principle and the Rytov theory. The weak turbulence just leads the mBGBs diverge and has no influence on the angular distribution of both the mean fi...

Based on the generalized multi-particle Mie equation (GMM) and Electromagnetic Momentum (EM) theory, the lateral binding force (BF) exerted on multilayered spheres induced by an arbitrary polarized high-order Bessel beam (HOBB) is investigated with particular emphasis on the half-conical angle of the wave number components and the order (or topolog...

Analytical solution to the scattered field and near-surface field of a multilayered chiral sphere illuminated by a high-order Bessel vortex beam (HOBVB) are investigated. Using the vector wave theory, the expansion coefficients of a HOBVB in terms of spherical vector wave functions (SVWFs) are derived. Based on the fields expansion in each region a...

Based on the angular spectrum expansion and the $4\times 4$ transfer matrix method, an investigation into the reflection, transmission, and absorption of vortex beams in an inhomogeneous magnetized plasma slab is presented. The reflected and transmitted electric fields are expressed by the inverse Fourier transform of the product of the reflected...

Based on the generalized multi-particle Mie equation (GMM) and Electromagnetic Momentum (EM) theory, the lateral binding force (BF) exerted on bi-sphere induced by an arbitrary polarized high-order Bessel beam (HOBB) is investigated with particular emphasis on the half-conical angle of the wave number components and the order (or topological charge...

Within the framework of the generalized multi-particle Mie (GMM) theory, analytical solution to electromagnetic scattering of two interacting homogeneous uniaxial anisotropic spheres by a Laguerre–Gaussian (LG) vortex beam is investigated. The particles with different size and dielectric parameter tensor elements are arbitrarily configured. Based o...

Based on the generalized Lorentz–Mie theory (GLMT) and the localized approximation of the beam shape coefficients, we derived the expansions of incident elliptic Gaussian (EG) beams in terms of spherical vector wave functions (SVWFs). Utilizing multiple scattering (MS) equations and electromagnetic momentum (EM) theory, the lateral binding force (B...

Based on angular spectrum expansion and 4 x 4 matrix theory, the reflection and transmission characteristics of a Laguerre Gaussian (LG) beam from uniaxial anisotropic multilayered media are studied. The reflected and transmitted beam fields of an LG beam are derived. In the case where the principal coordinates of the uniaxial anisotropic media coi...

The analytical theory for the scattering of a uniaxial anisotropic illuminated by a Laguerre-Gaussian vortex beam is presented. Based on the complex source point method and the relation between Hermite polynomial and Laguerre polynomial, the expansion of Laguerre-Gaussian vortex beam expanded in terms of spherical vector wave functions is derived....

Laser sheet is of great practical importance in various fields, such as particle image velocimetry and probe detections. On the contrary to Gaussian beam, laser sheet is the beam focused by a cylindrical lens. In order to better understand the physical mechanism, the paper is devoted to the description of the interaction between a multilayered sphe...

The expression of Hermite-Gaussian beam in terms of spherical vector wave functions is given with the complex source point method. Based on the generalized Lorenz-Mie theory, the scattering coefficients are obtained by applying the continuous boundary conditions of tangential components of electromagnetic field at the interface between chiral mediu...

Since the development of the generalized Lorenz–Mie theory, electromagnetic scattering by arbitrary beams has drawn growing interest. The Laguerre–Gaussian (LG) vortex beam is well known for its orbital angular momentum. With the aim of investigating the analytical solution to the scattering of a chiral sphere by a LG vortex beam, particular attent...

Based on the generalized multiparticle Mie theory, multiple scattering of an aggregate of uniaxial anisotropic spheres illuminated by a zero-order Bessel beam (ZOBB) with arbitrary propagation direction is investigated. The particle size and configuration are arbitrary. The arbitrary incident Bessel beam is expanded in terms of spherical vector wav...

According to the electromagnetic scattering of two spheres, the incident on-axis Gaussian beam is expanded in terms of spherical vector wave functions (SVWFs), and the beam shape coefficients are obtained by applying the localized approximation method. Using the addition theorem, the interaction scattering fields of two chiral spheres and the inter...

The analytical theory for the electromagnetic (EM) scattering of plasma anisotropic sphere illuminated by a high-order Bessel beam (HOBB) is investigated in this paper. The HOBB is presented using vector wave theory in which electric and magnetic field vectors satisfy Maxwell's equations. The fields inside the plasma sphere are expressed using eige...

Rayleigh model has been proposed to deal with scattering from a small sized chiral sphere. A chiral sphere in Rayleigh size illuminated by electromagnetic waves can be substituted by four Hertzian dipoles. Thus the scattering problem is converted to a radiation problem. The four equivalent dipole moments are solved by applying the boundary conditio...

The scattering characteristics of a uniaxial anisotropic sphere illuminated by two Gaussian beams with arbitrary propagation and polarization directions are investigated. On the basis of spherical vector wave functions and coordinate rotation theory, the fields of any incident Gaussian beam with arbitrary propagation and polarization directions are...

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...

An analytic theory for the scattering of an off-axis Hermite-Gaussian (HG) beam obliquely incident on an anisotropic sphere is developed. Based on the complex-source-point method and coordinate rotation theory, a general expansion expression for an arbitrarily incident HG beam in terms of Spherical Vector Wave Functions (SVWFs) is derived, and its...

Based on the expansion of Hermite Gaussian (HG) beam in terms of spherical vector wave functions (SVWFs) utilizing Complex Source Point Method (CSPM) and the relation between HG beam and Laguerre Gaussian (LG) mode, we derived the expansion of LG vortex beam in terms of SVWFs. Using Generalized Lorenz Mie Theory (GLMT), the radiation force (RF) exe...

Light scattering from a chiral cylinder is reconsidered based on Lorenz–Mie regime. The incident, internal, and scattered fields are expressed in terms of cylindrical vector wave functions. The scattering coefficients at an oblique incidence are obtained according to the boundary conditions and expressed in forms of ratios and logarithmic derivativ...

Based on the scattering theory of a chiral sphere, rainbow phenomenon of a chiral sphere is numerically analyzed in this paper. For chiral spheres illuminated by a linearly polarized wave, there are three first-order rainbows, with whose rainbow angles varying with the chirality parameter. The spectrum of each rainbow structure is presented and the...

Electromagnetic scattering of a zero-order Bessel beam by an anisotropic spherical particle in the off-axis configuration is investigated. Based on the spherical vector wave functions, the expansion expression of the zero-order Bessel beam is derived, and its convergence is numerically discussed in detail. Utilizing the tangential continuity of the...

Under the framework of generalized Lorenz-Mie theory, we calculate the radiation force and torque exerted on a chiral sphere by a Gaussian beam. The theory and codes for axial radiation force are verified when the chiral sphere degenerates into an isotropic sphere. We discuss the influence of a chirality parameter on the radiation force and torque....

Expressions of scattering coefficients for calculating scattering by large chiral spheres are derived by using logarithmic derivatives and ratios of Riccati–Bessel functions. The improved expressions can be easily applied to the case of an arbitrarily shaped beam incidence. A simplified expression of the scattered field in the far field is obtained...

On the basis of spherical vector wave functions and coordinate rotation theory, the expansion of the fields of an incident Gaussian beam with arbitrary propagation and polarization directions in terms of spherical vector wave functions is investigated, and beam shape coefficients are derived. Using the results of electromagnetic scattering by a uni...

Using the theory of electromagnetic scattering of a uniaxial anisotropic sphere, we derive the analytical expressions of the radiation forces exerted on a uniaxial anisotropic sphere by an off-axis incident Gaussian beam. The beam’s propagation direction is parallel to the primary optical axis of the anisotropic sphere. The effects of the permittiv...

Based on the spherical vector wave functions, we research the internal and near-surface fields of a homogeneous chiral dielectric sphere to a plane wave. The expansion coefficients of scattered fields and internal fields are obtained through the boundary condition at the sphere interface. The logarithmic derivatives of Ricatti-Bessel functions are...

The theoretical results of the first rainbow of chiral dielectric sphere are presented. On the basis of the spherical vector wave functions, the rainbow of a homogeneous chiral sphere to a plane wave is investigate d. The intensity distribution of the first or second rainbow of isotropic sphere is very obvious using ray tracing theory, but the char...

Based on the spherical vector wave functions, we research the scattering of a homogeneous chiral sphere to a plane wave. The expansion coefficients of scattered fields and internal fields are obtained through the boundary condition at the sphere interface. The logarithmic derivatives of Ricatti-Bessel functions are introduced in order to avoid the...

Based on the generalized Lorenz-Mie theory (GLMT), the incident Gaussian beam and scattered fields of the chiral sphere are expressed in terms of the spherical vector wave functions. An expression of the radiation force on the chiral sphere in a Gaussian beam is derived from the theory of electromagnetic momentum. The influence of the chiral parame...