Scattering by finite wires of arbitrary ∊, μ, and σ

Curved Fiber Scattering

“…permittivity µ r , and relative dielectric constant ε r lying in the x-y plane as shown in Figure 1. When a plane electromagnetic wave (with time dependent e −iωt ) impinges the fiber, assuming that the aspect ratio L/D >> 1 and kD/2 < 1, the dimensionless induced surface current u( r ) is determined by the Pocklington integro-differential equation [2][3][4][5]:…”

“…To avoid the singularity in the Green's function during the calculations of the matrix elements in the Moment method, the source point r is always assumed to be on the wire surface, while the field point r is on the wire axis, as shown in Figure 1. η is the dimensionless surface impedance which is defined in terms of the first two Bessel functions and the bulk parameters of the fiber material [5].…”

“…Straight, thin, finite conducting fibrous particles have also long been used for electromagnetic shielding, both in airborne and in solid matrices. In the last few years [2][3][4][5][6] the theory for this form of particle has been solidified and confirmed in a number of publications, from short wavelengths to the microwave. One of these theories [2] also applies when the fibers have a finite diameter (kD/2 < 1), where k is the free space wave number and D is the diameter of the fiber, although the extent of the aspect ratio L/D (for small values) is somewhat circumscribed, where L is the fiber length.…”

“…To a very good approximation, the electromagnetic scattering and absorption of finite conducting straight thin fibers are described by the Pocklington integro-differential equation. Both analytical and numerical solutions have been obtained and verified by means of measurements and theoretical comparisons [2][3][4][5][6][7][8][9][10][11]. To study the effect of fiber curvature on electromagnetic scattering, we present a numerical solution for the Pocklington integro-differential equation that describes the curved fiber scattering.…”

Electromagnetic propagation in multilayered nanomodified heavily doped Si:P systems

“…Previous works utilized mostly either the rigorous modal approach [1][2] or a simpler but approximate coupled-wave approach [3][4]. In our work we decided to use the well recognised and credible Transition Matrix Approach (TMA) [5,6,7,8,9,10], because of its speed and stability.…”