A Recursive Eigenfunction Expansion Approach for TE Scattering by Arbitrary-Shaped Multilayer Cylinders
International Marmara Science and Social Sciences Congress (IMASCON-2026), Kocaeli, Türkiye, 8 - 09 Mayıs 2026, ss.54, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Basıldığı Şehir: Kocaeli
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.54
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
We adapt the previously developed recursive eigenfunction expansion approach to the TE illumination case
for electromagnetic scattering by arbitrary-shaped multilayer cylinders. In contrast to the TM formulation,
where the boundary conditions can be simplified by reducing the normal-derivative continuity to a radialderivative
form, the TE case involves a more general and relatively more complicated normal-derivative
condition. Despite this difference, the magnetic field in each layer is represented as a series of cylindrical
functions, leading to a linear system similar to that obtained in the TM case. Instead of solving this system
using conventional linear solvers, it is transformed into a set of recursive relations based on a Thomas-type
elimination scheme, following the approach previously introduced for the TM case. This recursive
formulation enables efficient computation of the expansion coefficients without explicitly solving the full
system. The numerical behavior of the proposed approach for TE polarization is analyzed through
representative simulations.