The gate-tunable terahertz (THz) absorption of graphene layers with a resonant metal back reflector (RMBF) is theoretically investigated. We demonstrate that the THz absorption of graphene with RMBF can vary from nearly negligible to nearly total by tuning the external gate voltage. This peculiar nearly total THz absorption can be attributed to the Fabry-Perot cavity effect, which enhances the absorption and reduces the reflection of graphene. The absorption spectra of the graphene-RMBF structure can also be tailored in bandwidth and center frequency by changing the thickness and dielectric constant of the spacer layer. The optical properties of graphene is attracting increased attention because of the abundant potential applications within a wide spectral range from terahertz (THz) to visible frequencies . As an ultra-thin twodimensional (2D) carbon material, graphene is widely used in the transparent electrodes and optical display materials [1][2][3][4]. In recent years, THz techniques have been used to study the electric states in graphene [25][26][27][28][29][30]. Given the ultra-high carrier mobility of graphene, it also has applications in THz optoelectronics such as transformation optics [23], tunable THz modulators [31][32][33][34][35], room-temperature THz detectors [36], THz optical antennas [37], etc. These graphene-based THz devices have important applications, such as in medical diagnostics, molecular biology, and homeland security.To promote the applications of graphene within the THz frequency range, the interaction between graphene and THz waves should be enhanced. In the recent two years, various graphene plasmonics with different microstructures have been proposed to enhance the absorption of graphene [12][13][14][15][16][17][18][19][20][21]. In particular, nearly complete absorption can be achieved in periodically patterned graphene or microcavity [12,13]. The concept of perfect absorbers has initiated a new research area and has important applications in optoelectronics [12,[38][39][40]. However, fabricating periodically patterned graphene or placing it in an optical microcavity under current technological conditions remains difficult.Recently, Liu et al. proposed that the optical absorption of graphene layers on the top of a one-dimensional photonic crystal (1DPC) can be significantly enhanced within the visible spectral range because of photon localization [41]. In a similar manner, the absorption of * Electronic address: jtliu@semi.ac.cn † Electronic address: fhsu@issp.ac.cn graphene can also be increased within the THz spectra range [42]. The proposed 1DPC structures can be implemented using existing technologies. However, the photonic band gap (PBG) of 1DPC limits the spectrum bandwidth for the absorption enhancement of graphene. In fact, highly conducting metal films such as aluminum, silver, and gold can effectively reflect the electromagnetic wave within a wide spectral range from the middleinfrared region to the microwave region the same as a 1DPC [43]. Thus, the metal film can repla...