Abstract
The translation matrix for the three dimensional Helmholtz wave equation was successfully diagonalized using an alternative and succinct method. The method reveals the relationship between the translation matrices and their representation of the translation group. A diagonalization is expected under a plane-wave basis for the representation since a plane-wave basis forms an irreducible representation for the translation group. Hence, the diagonalization of the translation matrices from the spherical harmonic representation can be viewed as a series of similarity transforms. The result can be used in the fast multimode method where multiple scattering involves interaction between multipoles.
| Original language | English |
|---|---|
| Pages (from-to) | 2072-2075 |
| Number of pages | 4 |
| Journal | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |
| Volume | 3 |
| State | Published - 1997 |
| Event | Proceedings of the 1997 IEEE Antennas and Propagation Society International Symposium. Part 1 (of 4) - Montreal, Can Duration: Jul 13 1997 → Jul 18 1997 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering