General boundary conditions for the wave equation around non-homogeneous scatterers
Abstract
To solve the wave equation inside a region that contains an inhomogeneous dielectric material of arbitrary shape under the influence of an incoming wave, a generalized boundary condition is established. The solutions inside a finite region resulting from a given incoming wave from the outside, are determined by a linear relation between the normal gradient and the function values on the boundary. This boundary condition is non-local and it is shown how it can be used in conjunction with the variational principle applied to an open system.
- Publication:
-
Applied Scientific Research
- Pub Date:
- 1983
- Bibcode:
- 1983ApScR..40...97M
- Keywords:
-
- Boundary Conditions;
- Boundary Value Problems;
- Dielectrics;
- Finite Element Method;
- Wave Equations;
- Wave Scattering;
- Cylinders;
- Incident Radiation;
- Inhomogeneity;
- Spheres;
- Variational Principles;
- Physics (General)