Even though the core–shell nanomaterials were reported as the most efficient up-conversion materials to achieve the energy migration, the light transmission mechanism in core-shell heterostructure and the energy loss induced by multilayer shells have not been studied. In this work, we report the admittance recursive method to simulate the transmission process of TE and TM waves and calculate the light transmission efficiency in core-shell heterostructure. The effects of multilayer shell thickness, wavelength of transmitted light, and critical angle on the light transmittance of core-shell nanoparticles (NPs) are studied. It is found that the TE wave transmission efficiency from NaYF₄@SiO₂ core-shell heterostructure can reach more than 96.4%, while the values of transmission efficiency of TE and TM waves are less than 40% in NaYF₄@SiO₂@Ag core-shell-shell heterostructure. Only 1540 nm and 980 nm infrared lights transmit from the NaYF₄@Ag@SiO₂@Ag multilayer shell heterostructure.

尽管已报道了核-壳纳米材料是实现能量迁移的最有效的上转换材料，但尚未研究核-壳异质结构中的光透射机制以及多层壳引起的能量损失。在这项工作中，我们报告了导纳递归方法来模拟TE和TM波的传输过程，并计算核-壳异质结构中的光传输效率。研究了多层壳厚度，透射光波长和临界角对核壳纳米粒子（NPs）透光率的影响。发现NaYF ₄ @SiO ₂对TE波的传输效率NaYF ₄ @SiO ₂ @Ag核-壳-壳异质结构中，核-壳异质结构可达到96.4％以上，而TE波和TM波的传输效率值小于40％。NaYF ₄ @ Ag @ SiO ₂ @Ag多层壳异质结构仅透射1540 nm和980 nm红外光。