In order to possess narrow passband and high transmittance at the center wavelengths of three primary colors, a three-cavity Fabry–Perot (FP) color filter is proposed whose center wavelengths are 700 nm (red), 546.1 nm (green) and 435.8 nm (blue) respectively. Through simulation, it is found that when the green color filter is in the middle, the transmission peaks only appear at the wavelength of three primary colors in the visible light range. And the structure of green color filter in the middle is designed as $$\left( {LH} \right)^{6} 2L\left( {HL} \right)^{6}$$ while the structure of red and blue color filters on both sides is $$\left( {HL} \right)^{6} 2H\left( {LH} \right)^{6}$$ to avoid high transmission peaks other than the center wavelengths of three primary colors caused by the 2H half-wavelength layer at the junction after combination. On this basis, the film thickness has been optimized to improve the transmittance at the wavelengths of the three primary colors and suppress the transmittance at other wavelengths. Through simulation analysis, it can be seen that the transmittance of the improved filter with optimized film thickness reach 99.64%, 96.77% and 92.94% at the wavelengths of 700.6 nm, 545.8 nm and 434.8 nm, and the full width at half maximum (FWHM) are 2.1 nm, 4.5 nm and 3.1 nm respectively. Compared with a three-primary-color filter based on grating structure, photonic crystal and metal film plasmonic, the three-cavity FP color filter proposed in this paper has not only higher transmittance at the center wavelengths of three primary color but also very narrow FWHM, which is 1–2 orders of magnitude lower than the former. Due to its superior performance, simple structure and convenient design, the filters of this structure are expected to be widely applied in display technology, color synthesis and modulation.

中文翻译：

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基于三腔法布里-珀罗滤色片结构的三基色滤色片设计

为了在三基色中心波长处具有窄通带和高透射率，提出了一种中心波长为700 nm（红色）、546.1 nm（绿色）和435.8 nm的三腔法布里-珀罗（FP）彩色滤光片。 （蓝色）分别。通过仿真发现，当绿色滤色片位于中间时，透射峰只出现在可见光范围内的三基色波长处。中间绿色滤色片的结构设计为$$\left( {LH} \right)^{6} 2L\left( {HL} \right)^{6}$$ 而红色和两侧的蓝色滤色片为 $$\left( {HL} \right)^{6} 2H\left( {LH} \right)^{6}$$ 以避免三个中心波长以外的高透射峰组合后由结处的 2H 半波长层引起的原色。在此基础上，对膜厚进行了优化，提高了三基色波长的透射率，抑制了其他波长的透射率。通过仿真分析可以看出，优化膜厚的改进滤光片在700.6 nm、545.8 nm和434.8 nm波长处的透光率分别达到99.64%、96.77%和92.94%，半峰全宽（FWHM） ) 分别为 2.1 nm、4.5 nm 和 3.1 nm。与基于光栅结构、光子晶体和金属膜等离子体的三基色滤光片相比，本文提出的三腔FP彩色滤光片不仅在三基色中心波长处具有更高的透射率，而且半高宽非常窄。 ，比前者低1-2个数量级。由于其卓越的性能，