Abstract
In this work we investigate the electromagnetic wave scattering phenomena by quasi-homogeneous obstacles, namely obstacles with wavenumber functions not exhibiting large variations from an average value $\bar k$. First, we express the field coefficients by means of a T-matrix method for the corresponding piecewise-homogeneous scatterer and then perform the best linear approximation by differentials to express these coefficients as linear combinations of the distances of the wavenumber samples from k. Moreover, the total far-field pattern of the quasi-homogeneous scatterer is decomposed into that of the respective homogeneous scatterer with wavenumber k plus the perturbation far-field pattern, depending exclusively on the wavenumber's deviations from k. Numerical results are presented concerning (i) the far-field patterns, computed by the proposed technique and the T-matrix method, (ii) the variations of the perturbation far-field pattern, and (iii) the prediction of each layer's contribution to the far-field.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering |
| Publisher | World Scientific Publishing Co. Pte Ltd |
| Pages | 169-176 |
| Number of pages | 8 |
| ISBN (Print) | 9814322024, 9789814322027 |
| Publication status | Published - 2010 |
| Externally published | Yes |
| Event | 2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering - Patras, Greece Duration: Oct 9 2009 → Oct 11 2009 |
Other
| Other | 2009 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering |
|---|---|
| Country | Greece |
| City | Patras |
| Period | 10/9/09 → 10/11/09 |
Fingerprint
ASJC Scopus subject areas
- Biomedical Engineering
- Applied Mathematics
Cite this
Electromagnetic wave scattering by quasi-homogeneous obstacles. / Tsitsas, N. L.; Valagiannopoulos, C. A.
Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering. World Scientific Publishing Co. Pte Ltd, 2010. p. 169-176.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Electromagnetic wave scattering by quasi-homogeneous obstacles
AU - Tsitsas, N. L.
AU - Valagiannopoulos, C. A.
PY - 2010
Y1 - 2010
N2 - In this work we investigate the electromagnetic wave scattering phenomena by quasi-homogeneous obstacles, namely obstacles with wavenumber functions not exhibiting large variations from an average value $\bar k$. First, we express the field coefficients by means of a T-matrix method for the corresponding piecewise-homogeneous scatterer and then perform the best linear approximation by differentials to express these coefficients as linear combinations of the distances of the wavenumber samples from k. Moreover, the total far-field pattern of the quasi-homogeneous scatterer is decomposed into that of the respective homogeneous scatterer with wavenumber k plus the perturbation far-field pattern, depending exclusively on the wavenumber's deviations from k. Numerical results are presented concerning (i) the far-field patterns, computed by the proposed technique and the T-matrix method, (ii) the variations of the perturbation far-field pattern, and (iii) the prediction of each layer's contribution to the far-field.
AB - In this work we investigate the electromagnetic wave scattering phenomena by quasi-homogeneous obstacles, namely obstacles with wavenumber functions not exhibiting large variations from an average value $\bar k$. First, we express the field coefficients by means of a T-matrix method for the corresponding piecewise-homogeneous scatterer and then perform the best linear approximation by differentials to express these coefficients as linear combinations of the distances of the wavenumber samples from k. Moreover, the total far-field pattern of the quasi-homogeneous scatterer is decomposed into that of the respective homogeneous scatterer with wavenumber k plus the perturbation far-field pattern, depending exclusively on the wavenumber's deviations from k. Numerical results are presented concerning (i) the far-field patterns, computed by the proposed technique and the T-matrix method, (ii) the variations of the perturbation far-field pattern, and (iii) the prediction of each layer's contribution to the far-field.
UR - http://www.scopus.com/inward/record.url?scp=84903823023&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84903823023&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84903823023
SN - 9814322024
SN - 9789814322027
SP - 169
EP - 176
BT - Proceedings of the 9th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering: Advanced Topics in Scattering and Biomedical Engineering
PB - World Scientific Publishing Co. Pte Ltd
ER -