Abstract: A broadband frequency selective rasorber (FSR) with polarization and angle insensitivity is designed, which can realize a transmission window at X-band and the broadband stealth including the L-band. The FSR adopts a combination of a frequency selective surface (FSS) and an EM metamaterial absorber. The overall structure is accomplished by cascade loading of a multi-layer coupled FSS and a two-layer high resistance surface. In theory, the equivalent circuit method is used to analyze the multi-layer coupled FSS and the whole structure, while the resonance mechanism of the FSS and FSR is demonstrated. The numerical simulation results show that the FSR can achieve a broadband transmission in the frequency range of 8. 1 ~11. 7 GHz and wide band absorption in the range of 1. 18 ~4 GHz and 15 ~18 GHz, wherein the insertion loss of the transmission window is greater than -3 dB. As a planar radar radome, the proposed FSR can be combined with a microstrip antenna to analyze the radiation performance and scattering characteristics of the whole system. Numerical simulation results show that the antenna maintains good radiation performance in the working frequency band, the effective reduction of RCS is realized outside the band, and it achieves the stealth purpose of the antenna system.