Volume Integral Equation Methods
Bistatic RCS for an anisotropic sphere.
For highly inhomogeneous medium and for anisotropic medium, the surface integral equation method is not generally available and methods based on the volume discretization are required. One option is the volume integral equation method (VIE) based on the volume equivalence principle.
The benefits of VIE compared to FEM, for example, are that it can be used to model open-region scattering and radiation problems without special absorbing boundary conditions and it usually leads to much better conditioned matrix equation than FEM. We are developing and studying various VIE formulations and their efficient numerical implementations in the case of high-contrast anisotropic and inhomogeneous objects.
- General 3D inhomogeneous and anisotropic targets.
- Electromagnetic modeling of melting snow and other atmospheric targets.
- Applications to metamaterial research.
References
- C. C. Lu, P. Ylä-Oijala, M. Taskinen, and J. Sarvas: Comparison of two volume integral equation formulations for solving electromagnetic scattering by inhomogeneous dielectric objects, 2009 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, June 1-6, Charleston, SC USA.