The classical analytical formulation of 2-D Mie scattering for coaxial cylindrical multilayers requires solving a 2N × 2N system of equations for each polarization, where N is the number of layers, which quickly becomes cumbersome as N increases. In this letter, we address this challenge by developing a compact recursive approach, based on Richmond’s 1965 method for dielectric shells, reformulated as a sequence of simple 2 × 2 systems. We extend Richmond’s formulation to the case of multilayer impedance boundaries (e.g., metasurfaces), making it particularly effective for modern scattering engineering problems, such as metasurface cloaking design. The effectiveness of the approach is demonstrated through the minimization of the scattering signature of a metallic cylinder surrounded by such multilayer impedance surfaces. The results are validated against independent full-wave electromagnetic simulations.
Labate, G., Yepes, C., Monti, A., Bilotti, F., Alù, A., Gerini, G. (2026). The recursive Richmond method for mantle cloaking with surface impedance multilayers. IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, 25(2), 811-815 [10.1109/lawp.2025.3640269].
The recursive Richmond method for mantle cloaking with surface impedance multilayers
Monti, Alessio;Bilotti, Filiberto;
2026-01-01
Abstract
The classical analytical formulation of 2-D Mie scattering for coaxial cylindrical multilayers requires solving a 2N × 2N system of equations for each polarization, where N is the number of layers, which quickly becomes cumbersome as N increases. In this letter, we address this challenge by developing a compact recursive approach, based on Richmond’s 1965 method for dielectric shells, reformulated as a sequence of simple 2 × 2 systems. We extend Richmond’s formulation to the case of multilayer impedance boundaries (e.g., metasurfaces), making it particularly effective for modern scattering engineering problems, such as metasurface cloaking design. The effectiveness of the approach is demonstrated through the minimization of the scattering signature of a metallic cylinder surrounded by such multilayer impedance surfaces. The results are validated against independent full-wave electromagnetic simulations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
