Metal-based nanoparticles are limited in their applications due to their inherent loss. Here, we propose all dielectric nanoparticles to enhance forward scattering efficiency. Firstly, all dielectric nanoparticles composed of lossless nanodisks are created. By changing the geometric size of the nanoparticles, 2$\pi$ phase coverage can be achieved. We further coded these all-dielectric nanoparticles to construct nanoparticle coded metasurface. Then, we propose a superposition principle of super-grating coding sequence, which can control the scattering angle of coding metasurface. It is clear that theoretical results were compared with results of computer simulation. Due to the limitation of the generalized Snell’s law, the forward scattering angle of the encoded nanoparticle sequence is limited to several directions. In order to obtain the multi-angle forward scattering, we introduce the addition principle of coded nanoparticle sequences. By adding and subtracting two sequences of encoded nanoparticles, a new sequence of encoded nanoparticles was obtained. Furthermore, we introduce the complex phase encoding of the coded nanoparticles sequence to construct a new multi-functional and multi-angle coded nanoparticles sequence. Based on the principle of addition of complex phase-coded sequences of nanoparticles, the continuous angle scattering and superposition of scattering beams in any direction can be expected to be obtained.

由于其固有的损耗，金属基纳米粒子在其应用中受到限制。在这里，我们建议使用所有介电纳米粒子来提高前向散射效率。首先，创建由无损纳米盘组成的所有介电纳米粒子。通过改变纳米粒子的几何尺寸，2$\pi$可以实现相位覆盖。我们进一步编码这些全介电纳米粒子以构建纳米粒子编码的超表面。然后，我们提出了一种超光栅编码序列的叠加原理，可以控制编码超表面的散射角。很明显，理论结果与计算机模拟结果进行了比较。由于广义斯涅耳定律的限制，编码的纳米粒子序列的前向散射角被限制在几个方向。为了获得多角度前向散射，我们引入了编码纳米粒子序列的相加原理。通过添加和减去两个编码的纳米粒子序列，获得了一个新的编码纳米粒子序列。此外，我们引入了编码纳米粒子序列的复杂相位编码，以构建新的多功能和多角度编码纳米粒子序列。基于纳米粒子复杂相位编码序列相加的原理，可以获得任意方向散射光束的连续角散射和叠加。