The two-dimensional problem of diffraction of a plane electromagnetic wave is considered as a TM-type on a cylindrical nanoshell (structure) of silver, the outer and inner contours of the cross section of which are symmetrical convex-concave curves. In the wavelength range \(320\,{\text{nm}} < \lambda < 1500\,{\text{nm}}\) (\(\lambda \) is the wavelength), the spectra of the scattering cross section, scattering diagrams, and the structure of the near field for resonant wavelengths are calculated by a rigorous numerical method. The influence of the geometric dimensions of the structure, the angle of incidence of a plane wave, and the relative permittivity of the shell core on the scattering cross section and the scattering diagram is studied. It is shown that such shells exhibit pronounced multipole resonances, the effect of near field degeneration, and the possibility of shifting the dipole resonance to the region of λ ≈ 1500–1700 nm and a significant difference in resonant wavelengths between dipole and multipole resonances.

平面电磁波的二维衍射问题被认为是银的圆柱形纳米壳（结构）上的TM型，其横截面的外轮廓和​​内轮廓是对称的凸凹曲线。在波长范围内\(320\,{\text{nm}} < \lambda < 1500\,{\text{nm}}\) ( \(\lambda \)是波长），散射截面的光谱、散射图和共振波长的近场结构是通过严格的数值方法计算的。研究了结构几何尺寸、平面波入射角、壳核相对介电常数对散射截面和散射图的影响。结果表明，这种壳表现出明显的多极共振，近场退化的影响，以及将偶极共振转移到 λ ≈ 1500-1700 nm 区域的可能性以及偶极和多极共振之间共振波长的显着差异。