Optical caustics observed in light scattered by an oblate spheroid

Optical caustics observed in light scattered by an oblate spheroid.

The electromagnetic fields scattered when a plane wave is incident on an oblate spheroid in the side-on orientation may be calculated using a generalization of Mie theory, and the results may be decomposed in a Debye series expansion. A number of optical caustics are observed in the computed scattered intensity for the one internal reflection portion of the Debye series for scattering angles in...

Solving the Dirichlet-to-Neumann map on an oblate spheroid by a mesh-free method

In this paper, we study a mesh-free method using the Galerkin method with radial basis functions (RBFs) for the exterior Neumann problem of the Laplacian with boundary condition on an oblate spheroid. This problem is reformulated as a pseudo-differential equation on the spheroid by using the Dirichlet-to-Neumann map. We show convergence of the Galerkin scheme. Our approach is particularly suita...

Oblate spheroid model of nucleus of Comet 46 P / Wirtanen

An improved forced-precession model of Comet 46P/Wirtanen is presented. The nongravitational motion of the comet has been investigated based on the forced precession model of the rotating cometary nucleus. The least squares method applied to observational equations allows us to determine six basic nongravitational parameters: A, η, I, φ, f p , and s together with six orbital elements. The solut...

A study of atom localization in an optical lattice by analysis of the scattered light

Geodesic equations and their numerical solutions in geodetic and Cartesian coordinates on an oblate spheroid

The direct geodesic problem on an oblate spheroid is described as an initial value problem and is solved numerically in geodetic and Cartesian coordinates. The geodesic equations are formulated by means of the theory of differential geometry. The initial value problem under consideration is reduced to a system of first-order ordinary differential equations, which is solved using a numerical met...