We present theoretical modeling of the local surface plasmon resonance (LSPR) induced by hollow nanoshell spheres assisted with a graphene shell, aiming to examine their potential for use as efficient narrowband absorbers in the infrared wavelength region. We investigate two designs of hollow nanoparticles; namely, a hollow graphene nanosphere with a single graphene shell, and a hollow nanosphere with double shells comprising a graphene shell wrapped around a silver shell. The electric field in each region of the nanoshell is determined by solving the Laplace equation of the potential within the electrostatic approximation (the nanoshell radius $<$50$$nm). Using the calculated polarizability of nanoshells, we derive analytical expressions for the absorption and scattering cross-sections. We show that in both proposed nanocomposite models, the graphene shell affords an ultra-narrow LSPR with an absorption efficiency significantly higher than the scattering efficiency. In addition, the graphene-assisted LSPR can be tuned through the visible and infrared regions by changing the Fermi energy and thickness of the graphene layer. Another exciting finding is that the use of a silver shell in the hollow bi-shell nanoparticles provides another LSPR peak besides that induced by the graphene shell. Both LSPRs of graphene and silver shells can be overlapped by changing the optical properties of graphene and/or the geometrical parameters of the silver shell. The resulting LSPR is characterized by a dominant absorption cross-section and a significant narrowband. In both proposed nanoshell designs, the properties of LSPRs are promising for use in various optical imaging and phototherapy applications.

我们提出了由石墨烯壳辅助的空心纳米壳球体诱导的局域表面等离子体共振（LSPR）的理论模型，旨在研究它们在红外波长区域作为有效窄带吸收体的潜力。我们研究了两种中空纳米颗粒的设计；即，具有单层石墨烯壳的中空石墨烯纳米球和由石墨烯壳包裹银壳的双壳中空纳米球。纳米壳每个区域的电场是通过求解静电近似内电势的拉普拉斯方程（纳米壳半径$<$50$$纳米）。利用计算出的纳米壳的极化率，我们推导出吸收和散射截面的解析表达式。我们表明，在两种提出的纳米复合材料模型中，石墨烯壳提供了超窄的局域表面等离子体共振，其吸收效率显着高于散射效率。此外，通过改变石墨烯层的费米能量和厚度，可以在可见光和红外区域调节石墨烯辅助的局域表面等离子体共振。另一个令人兴奋的发现是，在中空双壳纳米颗粒中使用银壳提供了除石墨烯壳诱导的局域表面等离子体共振峰之外的另一个峰。通过改变石墨烯的光学性质和/或银壳的几何参数，石墨烯和银壳的局域表面等离子体共振可以重叠。由此产生的局域表面等离子体共振的特点是主要吸收截面和显着的窄带。在两种提出的纳米壳设计中，局域表面等离子体共振的特性有望用于各种光学成像和光疗应用。