As a new proposed spectrometer, the filter-based spectrometer uses a group of filters with known transmittance to modulate the spectrum of an incident light beam. After employing a post-processing algorithm, the spectrum of the beam can be reconstructed. For such spectrometers, the transmittance curve characteristics of the filters have a crucial impact on the spectrum reconstruction results. To better capture the details of the spectrum curve of the incident light beam, we propose a new nano-structure spectrometer by introducing gold nano-pillars to the photonic crystal (PC) filters. Because of the surface plasmon resonance effect of the gold nano-pillars, narrow bands will be generated on the transmittance curve of the new filters, which can improve the spectral reconstruction capability of the filters. In this paper, we first briefly introduce the principle of the filter-based spectrometer. Then, the transmittance curves of the filters are simulated by multiple random Gaussian functions according to the waveform of the transmittance curve of practical filters. And the simulated transmittance curves are used to reconstruct the spectrum of a beam to study their anti-noise capability. Next, new filters are designed by introducing gold nano-pillars to the PC filters. And their transmittance curves are calculated by the finite-difference time-domain (FDTD) approach. Finally, the spectrum reconstruction results are compared with those of the PC filters. The simulation results show that the introduction of gold nano-pillars can significantly improve the spectrum reconstruction ability of the PC filters.

作为一种新提出的光谱仪，基于滤光片的光谱仪使用一组具有已知透射率的滤光片来调制入射光束的光谱。采用后处理算法后，可以重建光束的光谱。对于此类光谱仪，滤光片的透射率曲线特性对光谱重建结果具有至关重要的影响。为了更好地捕捉入射光束光谱曲线的细节，我们通过将金纳米柱引入光子晶体 (PC) 滤波器，提出了一种新的纳米结构光谱仪。由于金纳米柱的表面等离子体共振效应，新型滤光片的透射率曲线上会产生窄带，从而提高滤光片的光谱重建能力。在本文中，我们先简单介绍一下基于滤波器的光谱仪的原理。然后，根据实际滤光片透射率曲线的波形，通过多个随机高斯函数模拟滤光片的透射率曲线。并使用模拟的透射率曲线重建光束的光谱以研究其抗噪声能力。接下来，通过将金纳米柱引入 PC 过滤器来设计新的过滤器。并且它们的透射率曲线是通过有限差分时域（FDTD）方法计算的。最后，将频谱重建结果与 PC 滤波器的结果进行比较。仿真结果表明，金纳米柱的引入可以显着提高PC滤波器的光谱重建能力。根据实际滤光片透光率曲线波形，采用多个随机高斯函数模拟滤光片透光率曲线。并使用模拟的透射率曲线重建光束的光谱以研究其抗噪声能力。接下来，通过将金纳米柱引入 PC 过滤器来设计新的过滤器。并且它们的透射率曲线是通过有限差分时域（FDTD）方法计算的。最后，将频谱重建结果与 PC 滤波器的结果进行比较。仿真结果表明，金纳米柱的引入可以显着提高PC滤波器的光谱重建能力。根据实际滤光片透光率曲线波形，采用多个随机高斯函数模拟滤光片透光率曲线。并使用模拟的透射率曲线重建光束的光谱以研究其抗噪声能力。接下来，通过将金纳米柱引入 PC 过滤器来设计新的过滤器。并且它们的透射率曲线是通过有限差分时域（FDTD）方法计算的。最后，将频谱重建结果与 PC 滤波器的结果进行比较。仿真结果表明，金纳米柱的引入可以显着提高PC滤波器的光谱重建能力。