Scattering Of Gaussian Beam Research Articles

Scattering of Gaussian beam by a spherical particle with a spheroidal inclusion

A generalized Lorenz–Mie theory framework (GLMT) is applied to the study of Gaussian beam scattering by a spherical particle with an embedded spheroid at the center. By virtue of a transformation between the spherical and spheroidal vector wave functions, a theoretical procedure is developed to deal with the boundary conditions. Numerical results of the normalized differential scattering cross section are presented.

共焦点介质镀层理想导体椭球对高斯波束的散射

共焦点介质镀层理想导体椭球对高斯波束的散射

Gaussian Beam Scattering by a Spheroidal Particle with an Embedded Conducting Sphere

A method is provided for calculating the scattering of Gaussian beam incident obliquely on a spheroidal particle with a conducting spherical inclusion within the framework of the generalized Lorenz-Mie theory (GLMT). By virtue of a transformation between the spheroidal and spherical vector wave functions, a theoretical procedure is developed to deal with the boundary conditions. Numerical results of the normalized differential scattering cross section are presented, and the scattering characteristics are discussed concisely.

Scattering of Gaussian Beam by a Conducting Spheroidal Particle with Confocal Dielectric Coating

An analytic solution to the scattering by a coated spheroidal particle, for arbitrary incidence of a Gaussian beam, is constructed by expanding the incident and scattered electromagnetic fields in terms of spheroidal vector wave functions. The unknown expansion coefficients are determined by a system of linear equations derived from the appropriate boundary conditions. Numerical results of the normalized differential scattering cross section of the conducting and coated spheroidal particle are evaluated, and the scattering characteristics are discussed concisely.

Internal and external electromagnetic fields for on-axis Gaussian beam scattering from a uniaxial anisotropic sphere

Scattering of an on-axis Gaussian beam by a uniaxial anisotropic sphere is studied. The incident on-axis Gaussian beam is expanded in terms of spherical vector wave functions, and the beam shape coefficients are obtained by applying the local approximation. The internal fields of a uniaxial anisotropic sphere are proposed in the integrating form of the spherical vector wave functions by introducing the Fourier transform. Utilizing the continuous tangential boundary conditions, both the scattered and the internal field coefficients are derived analytically. Numerical calculations are presented. The effects of the beam width, beam waist center positioning, and anisotropy on scattering properties are analyzed. The internal and near-surface field distributions are also discussed, and the two eigenmodes are characterized. The continuity on the surface of a uniaxial anisotropic sphere is well confirmed.

Internal and external electromagnetic fields for on-axis Gaussian beam scattering from a uniaxial anisotropic sphere

Scattering of an on-axis Gaussian beam by a uniaxial anisotropic sphere is studied. The incident on-axis Gaussian beam is expanded in terms of spherical vector wave functions, and the beam shape coefficients are obtained by applying the local approximation. The internal fields of a uniaxial anisotropic sphere are proposed in the integrating form of the spherical vector wave functions by introducing the Fourier transform. Utilizing the continuous tangential boundary conditions, both the scattered and the internal field coefficients are derived analytically. Numerical calculations are presented. The effects of the beam width, beam waist center positioning, and anisotropy on scattering properties are analyzed. The internal and near-surface field distributions are also discussed, and the two eigenmodes are characterized. The continuity on the surface of a uniaxial anisotropic sphere is well confirmed.

梯度折射率球对在轴高斯波束散射的几何光学近似

梯度折射率球对在轴高斯波束散射的几何光学近似

Plane Wave and Gaussian Beam Scattering by Long Dielectric Cylinders: 2.5D Simulations versus Measurements

For the development of millimeter wave imaging systems, it is important to be able to simulate some representative scattering configurations. Typically, Gaussian beams are used in active imaging systems. Since these beams only illuminate a spatially limited region, many objects can be treated as infinitely long 2D (in)homogenous cylinders. However, the incident Gaussian beams have a 3D character. Therefore, a dedicated 2.5D scattering simulator was developed. In this paper, simulation results obtained with this simulator are compared to measurements obtained from a bi-static microwave set-up and from a W-band millimeter wave set-up. Comparison of simulations and measurements proves that the 2.5D algorithm is a good simulation tool to study scattering of long inhomogeneous cylinders, illuminated by 3D plane waves or 3D Gaussian beams under different elevation angles.

Scattering of fundamental Gaussian beam from on-axis cluster spheres

Based on the generalized Lorenz_Mie theory(GLMT),the incident fundamental Gaussi an beam is expanded in terms of the vector spherical harmonics. The interaction of Gaussian beam with a cluster composed of spheres located on the propagation a xis is analyzed. The numerical results are discussed and compared with those obt ained in the plane wave incident case.

Scattering of Gaussian Beam From a Hemispherical Boss on a Conducting Plane

A new expression of a Gaussian beam derived by using a spectral domain method is applied to the scattering problem from a hemispherical boss on a conducting plane. On the method of images, the original problem is reduced to that of the scattering of two Gaussian beams by a full sphere. The scattered fields are expressed in simple closed forms which are valid when the diameter of the boss is comparable to or less than the Gaussian beamwidth. The difference between the bistatic radar cross section of a Gaussian beam and that of a plane wave is discussed.

Gaussian Beam Scattering From a Semicircular Channel in a Conducting Plane - Summary

A dual series solution to the problem of Gaussian beam scattering from a semicircular channel in a conducting plane is presented. The problem is solved by the boundary value method together with the Kozaki's Gaussian beam approximate expression. Some numerical results are shown. Differences between Gaussian beam and plane wave scattering behaviors are discussed.

Gaussian Beam Scattering from a Semicircular Channel in a Conducting Plane

Gaussian Beam Scattering from a Semicircular Channel in a Conducting Plane

Scattering of a Gaussian beam by an anisotropic material coated conducting circular cylinder

An analytical solution of Gaussian beam scattering by a conducting circular cylinder coated with an anisotropic material is formulated in terms of the wave functions for anisotropic media. This solution is formally similar to the solution of Gaussian beam scattering by a conducting elliptical cylinder with an isotropic dielectric coating. In the anisotropic dielectric coating and in the exterior free space region, the fields are expanded by the newly developed wave functions for anisotropic media and the well‐known wave functions for isotropic media, respectively. Numerical results are presented for the reference purpose. The effects of the spot size and the location of the waist of the beam, and the electrical size of the anisotropic‐coated conducting circular cylinder on the scattered field are discussed.

Improved Gaussian beam-scattering algorithm

The localized model of the beam-shape coefficients for Gaussian beam-scattering theory by a spherical particle provides a great simplification in the numerical implementation of the theory. We derive an alternative form for the localized coefficients that is more convenient for computer computations and that provides physical insight into the details of the scattering process. We construct a FORTRAN program for Gaussian beam scattering with the localized model and compare its computer run time on a personal computer with that of a traditional Mie scattering program and with three other published methods for computing Gaussian beam scattering. We show that the analytical form of the beam-shape coefficients makes evident the fact that the excitation rate of morphology-dependent resonances is greatly enhanced for far off-axis incidence of the Gaussian beam.

Scattering of gaussian beam by a ferrite cylinder

The scattering of a Gaussian beam by a ferrite cylinder is analyzed using two methods. The spatial pictures in the amplitude of the total Gaussian beam near the cylinder resulting from the two methods are both clarified and compared. The scattering by a ferrite cylinder coating a dielectric sleeve is also presented.

Scattering of a Gaussian Beam by a Sphere Using a Bromwich Formulation: Case of an arbitrary location

AbstractA complete theory of Gaussian beam scattering by a sphere is exposed. It is a generalization of the Lorenz‐Mie Theory to the case of Gaussian beam illumination. The spherical, isotropic and homogeneous scatterer may be located anywhere with respect to the beam. The Bromwich Scalar Potentials are used to solve the scattering problem and expressions are obtained for the scattered field (both in the near field and far field regions), the scattered intensities and the phase angle. In the limit of special cases the expressions agree with previous works restricted to more particular problems.