Dyadic Green's function for a multilayered spherical structure with alternating graphene-dielectric shells is extracted in this paper. To this end, the unknown expansion coefficients of the scattering superposition method are obtained by considering graphene local surface currents at the interface of two adjacent layers. To validate the formulas, the procedure of Mie scattering analysis employing our formulas is clarified and the extinction efficiencies of various graphene-based nanoparticles are computed. The possibility of using the proposed structure in the design of multi-band optical absorbers is discussed in detail. Moreover, a closed-form formula for obtaining the Purcell factor of a radial dipole emitter in the presence of a graphene-based layered sphere is introduced. The analysis is followed by an example illustrating the possibility of dual-band enhancement of the Purcell factor using a graphene-based core-shell particle. Finally, the procedure of calculating the energy transfer between the donor-acceptor pairs with arbitrary locations are clarified. The research can be potentially used in the fast and efficient analysis of a wide class of novel optical devices with the arbitrary source of excitation.

本文提取了具有交替石墨烯-介电壳的多层球形结构的Dyadic Green函数。为此，通过考虑两个相邻层的界面处的石墨烯局部表面电流来获得散射叠加方法的未知膨胀系数。为了验证这些公式，阐明了使用我们的公式进行米氏散射分析的程序，并计算了各种基于石墨烯的纳米粒子的消光效率。详细讨论了在多频带光吸收器的设计中使用提出的结构的可能性。此外，介绍了一个封闭形式的公式，该公式用于在存在石墨烯的分层球体的情况下获得径向偶极子发射极的赛尔因数。分析之后是一个示例，该示例说明了使用基于石墨烯的核-壳粒子对赛尔因子进行双频增强的可能性。最后，阐明了计算具有任意位置的供体-受体对之间的能量转移的过程。该研究可潜在地用于对具有任意激发源的各种新型光学器件进行快速有效的分析。