中文摘要：

对金属光栅进行严格耦合波理论计算，得到了780和1500nm波长入射光条件下不同光栅调制深度（20—80nm）对应的反射谱．根据Fano理论推导了描述反射谱线的经验公式，最后应用有限元法计算光栅表面近场电场分布，验证了公式的正确性．反射谱线公式反映出光栅耦合表面等离子体的各个物理效应，其中最重要的是反映出光栅在某一调制深度下对表面等离子体反耦合的抑制作用，这一发现为设计光栅能量约束器件提供了物理依据．

英文摘要：

Surface plasmon polaritons （SPP） are widely investigated in many fields because of the surface confinement of their electromagnetic field. Grating coupling is one of the methods to achieve the momentum match between light in free space and the surface plasmon to excite SPP. Because of the nature of the grating coupling, its parameters will greatly affect the coupling efficiency. Varying the grating modulation depth but keeping other parameters unchanged, we investigate the reflection spectra of one dimensional rectangle metallic grating by rigorous coupled-wave theory under the irradiation of incident light of 780 and 1500 nm in wavelength, respectively. According to Fano theory, the reflectance of metallic grating is the result of interference of two components, i.e., a directly reflected mode from the metal surface and a resonance radiation mode coupled out by the SPP propagating along the grating surface. We derive the Fano-type expression to describe the reflection spectra, and explain the contributions of directly reflected mode, SPP resonance radiation mode and the interference between these two effects. Near-filed electromagnetic distribution on metallic grating surface proves that the Fano-type expression is accurate enough to reflect the nature of the interference between the direct and radiation modes. Most importantly, our results from the expressions suggest that in some special grating condition, the metallic grating almost completely suppresses the SPP radiation propagating from grating to free space, which means that the energy of light can be completely trapped inside the grating. The phenomenon can be employed in designing light trapping device.