Generalization of the optical theorem for a multipole based on integral transforms
| Autor: | Yu. A. Eremin |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
General Mathematics
Fast multipole method Mathematical analysis Line integral Optical theorem Integral transform 01 natural sciences 010309 optics symbols.namesake Kelvin–Stokes theorem 0103 physical sciences symbols Multipole radiation Green's theorem 010306 general physics Multipole expansion Analysis Mathematics |
| Zdroj: | Differential Equations. 53:1121-1126 |
| ISSN: | 1608-3083 0012-2661 |
| Popis: | Based on integral transforms for wave fields, we obtain a generalization of the optical theorem for the case in which a local inhomogeneity is excited by a multipole source of arbitrary order. This generalization permits determining the total scattered and absorbed energy analytically by computing the derivatives of the scattered field at a single point. This relation can be used to compute the absorption cross-section in problems related to plasmonic structures and also to test computer modules when multipole radiation is scattered by transparent bodies. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|