Physical-density integral equation methods for scattering from multi-dielectric cylinders

TL;DR

This paper introduces a novel integral equation method for accurately simulating electromagnetic scattering from multi-dielectric cylinders, combining local and global representations for efficiency and flexibility.

Contribution

It presents a new integral equation approach using physical densities and null-field representations for scattering from multi-dielectric cylinders, enhancing modeling flexibility and accuracy.

Findings

Proven unique solvability for homogeneous cylinders.

Achieved high accuracy in numerical examples.

Efficient evaluation methods for near and far fields.

Abstract

An integral equation-based numerical method for scattering from multi-dielectric cylinders is presented. Electromagnetic fields are represented via layer potentials in terms of surface densities with physical interpretations. The existence of null-field representations then adds superior flexibility to the modeling. Local representations are used for fast field evaluation at points away from their sources. Partially global representations, constructed as to reduce the strength of kernel singularities, are used for near-evaluations. A mix of local- and partially global representations is also used to derive the system of integral equations from which the physical densities are solved. Unique solvability is proven for the special case of scattering from a homogeneous cylinder under rather general conditions. High achievable accuracy is demonstrated for several examples found in the literature.