| 1. |
|
|
| 2. |
- Bernland, Anders, et al.
(författare)
-
Summation rules and physical bounds for partial wave scattering in electromagnetics
- 2009
-
Ingår i: [Host publication title missing]. ; , s. 206-207
-
Konferensbidrag (refereegranskat)abstract
- A general approach to derive summation rules in electromagnetics using Herglotz functions is presented in this paper. This approach is then used to obtain summation rules and bounds on partial wave scattering, which are illustrated numerically by the scattering of a Drude sphere.
|
|
| 3. |
|
|
| 4. |
- Gustafsson, Mats, et al.
(författare)
-
An overview of some recent physical bounds in scattering and antenna theory
- 2009
-
Ingår i: ; , s. 1715-1718
-
Konferensbidrag (refereegranskat)abstract
- The objective of this paper is to give an overview of some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on integral identities for Herglotz functions that relate the quantity of interest with its low and high-frequency behavior. The sum rules are transformed to bounds by estimating the integrals and applying variational results to the parameters that appear in the asymptotic expansions. The theoretical findings are exemplified by numerical results for various scattering and antenna configurations.
|
|
| 5. |
- Gustafsson, Mats, et al.
(författare)
-
Physical bounds and sum rules in scattering and antenna theory
- 2009
-
Ingår i: Electromagnetics in Advanced Applications, 2009. ICEAA '09. International Conference on. ; , s. 600-603, s. 600-603
-
Konferensbidrag (refereegranskat)abstract
- The objective of this paper is to review some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on identities for Herglotz functions that relate the quantity of interest integrated over all wavelengths with its static polarizability dyadics. They are transformed to physical bounds by applying variational principles for the polarizability dyadics together with various estimates of the integrals. The theoretical findings are exemplified by numerical results for several configurations.
|
|
| 6. |
|
|
| 7. |
- Sohl, Christian, et al.
(författare)
-
Some paradoxes associated with a recent sum rule in scattering theory
- 2008
-
Ingår i: ; , s. 1-4
-
Konferensbidrag (refereegranskat)abstract
- This paper reports on some peculiarities associated with a recently published summation rule for scattering of electromagnetic waves. The summation rule states that the extinction cross section integrated over all frequencies is equal to the low-frequency response of the target. Although the summation rule is intriguing by itself, it becomes even more paradoxical when a static conductivity model or the PEC boundary condition is introduced. The paradoxical character lies in the fact that the extinction cross section integrated over all frequencies is independent of the static conductivity as long as it is non-zero. This puzzling result is explained by rejecting the static conductivity model at zero frequency as suggested by numerical simulations of a homogeneous and isotropic sphere. In addition, the low-frequency behavior of diamagnetic materials is investigated using Herglotz functions and arguments from the theory of special relativity.
|
|
