矩孔光子晶体可见光谱段窄带偏振陷波研究

朱启凡; 付跃刚; 刘智颖

doi:doi:10.3788/AOS201838.1223001

光学学报, 2018, 38 (12): 1223001, 网络出版: 2019-05-10

矩孔光子晶体可见光谱段窄带偏振陷波研究下载： 722次

Narrow-Band Polarization Notch Filtering of Visible Light Spectra Based on Photonic Crystal with Periodic Rectangular Holes

朱启凡 ^1,2,*付跃刚 ^1,2,*刘智颖 ^1,2

作者单位

¹ 长春理工大学光电测控与光信息传输技术教育部重点实验室, 吉林长春 130022

² 长春理工大学光电工程学院, 吉林长春 130022

图 & 表

图 1. 矩孔光子晶体结构示意图。(a)三维模型; (b) x-y平面二维示意图

Fig. 1. Schematic of photonic crystal with periodic rectangular holes. (a) Three-dimensional model; (b) two-dimensional model in x-y plane

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图 2. 模型示意图。(a)单周期结构; (b)等效层结构

Fig. 2. Schematic of model. (a) Singly periodic structure; (b) equivalent layered structure

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图 3. 等效折射率随光栅层填充比f的变化曲线

Fig. 3. Equivalent refractive index versus filling ratio f of grating layer

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图 4. 可见光谱段内陷波滤波特性随光栅层填充比f和波长的变化. (a) s偏振; (b) p偏振

Fig. 4. Notch filtering features of visible light spectra versus filling ratio f of grating layer and wavelength. (a) s polarization; (b) p polarization

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图 5. 可见光谱段内陷波滤波特性随厚度d和波长的变化:(a) p偏振; (b) s偏振

Fig. 5. Notch filtering features of visible light spectra versus thickness d and wavelength. (a) p polarization; (b) s polarization

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图 6. 陷波滤波特性在不同陷波中心波长(435, 485, 535, 585, 635, 685 nm)的情况下随填充比f的变化关系

Fig. 6. Notch filtering features of visible light spectra with central wavelengths of 435, 485, 535, 585, 635, 685 nm versus filling ratio f

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图 7. 填充比分别为0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9时,中心波长处透过率与周期层数m的关系曲线。(a) p偏振; (b) s偏振

Fig. 7. Transmittance at central wavelength versus periodic layer number m when filling ratios are 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. (a) p polarization; (b) s polarization

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图 8. 不同中心波长下可见光谱段内陷波滤波特性曲线。(a) 417 nm; (b) 497 nm; (c) 582 nm; (d) 685 nm

Fig. 8. Notch filtering features of visible light spectra under different central wavelengths. (a) 417 nm; (b) 497 nm; (c) 582 nm; (d) 685 nm

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表 1不同中心波长下,p偏振与s偏振在填充比f=0.37, 0.5, 0.75时的陷波带宽

Table1. Notch filtering band widths for p polarization and s polarization when filling ratios f are 0.37, 0.5, 0.75 and central wavelengths are different nm

λ₀	f=0.37		f=0.5		f=0.75
λ₀	B_p	B_s	B_p	B_s	B_p	B_s
435	19	11	13	7	5	1
485	21	12	15	8	5	2
535	24	13	17	7	5	2
585	26	14	18	8	7	2
635	28	16	19	9	7	2
685	30	17	21	10	7	3

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表 2不同填充比下,s偏振与p偏振的透过截止的周期层数、截止带宽B以及最小透过率Tmin

Table2. Layer number, notch band width B and minimum transmittance Tmin for p polarization and s polarization under different filling ratios

f	p polarization			s polarization
f	m	B /nm	T_min	m	B /nm	T_min
0.1	29	31	0	34	28	0
0.2	34	28	0	47	20	0
0.3	41	23	0	66	14	0
0.4	51	18	0	96	10	0
0.5	66	14	0	149	6	0
0.6	94	10	0	200	3	0
0.7	150	6	0	200	1	0
0.8	200	1	0	200	-	0.3071
0.9	200	-	0.2864	200	-	0.9478

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朱启凡, 付跃刚, 刘智颖. 矩孔光子晶体可见光谱段窄带偏振陷波研究[J]. 光学学报, 2018, 38(12): 1223001. Qifan Zhu, Yuegang Fu, Zhiying Liu. Narrow-Band Polarization Notch Filtering of Visible Light Spectra Based on Photonic Crystal with Periodic Rectangular Holes[J]. Acta Optica Sinica, 2018, 38(12): 1223001.

矩孔光子晶体可见光谱段窄带偏振陷波研究下载： 722次

图 1. 矩孔光子晶体结构示意图。(a)三维模型; (b) x-y平面二维示意图

Fig. 1. Schematic of photonic crystal with periodic rectangular holes. (a) Three-dimensional model; (b) two-dimensional model in x-y plane

图 2. 模型示意图。(a)单周期结构; (b)等效层结构

Fig. 2. Schematic of model. (a) Singly periodic structure; (b) equivalent layered structure

图 3. 等效折射率随光栅层填充比f的变化曲线

Fig. 3. Equivalent refractive index versus filling ratio f of grating layer

图 4. 可见光谱段内陷波滤波特性随光栅层填充比f和波长的变化. (a) s偏振; (b) p偏振

Fig. 4. Notch filtering features of visible light spectra versus filling ratio f of grating layer and wavelength. (a) s polarization; (b) p polarization

图 5. 可见光谱段内陷波滤波特性随厚度d和波长的变化:(a) p偏振; (b) s偏振

Fig. 5. Notch filtering features of visible light spectra versus thickness d and wavelength. (a) p polarization; (b) s polarization

图 6. 陷波滤波特性在不同陷波中心波长(435, 485, 535, 585, 635, 685 nm)的情况下随填充比f的变化关系

Fig. 6. Notch filtering features of visible light spectra with central wavelengths of 435, 485, 535, 585, 635, 685 nm versus filling ratio f

图 7. 填充比分别为0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9时,中心波长处透过率与周期层数m的关系曲线。(a) p偏振; (b) s偏振

Fig. 7. Transmittance at central wavelength versus periodic layer number m when filling ratios are 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. (a) p polarization; (b) s polarization

图 8. 不同中心波长下可见光谱段内陷波滤波特性曲线。(a) 417 nm; (b) 497 nm; (c) 582 nm; (d) 685 nm

Fig. 8. Notch filtering features of visible light spectra under different central wavelengths. (a) 417 nm; (b) 497 nm; (c) 582 nm; (d) 685 nm

表 1不同中心波长下,p偏振与s偏振在填充比f=0.37, 0.5, 0.75时的陷波带宽

Table1. Notch filtering band widths for p polarization and s polarization when filling ratios f are 0.37, 0.5, 0.75 and central wavelengths are different nm

表 2不同填充比下,s偏振与p偏振的透过截止的周期层数、截止带宽B以及最小透过率Tmin

Table2. Layer number, notch band width B and minimum transmittance Tmin for p polarization and s polarization under different filling ratios

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矩孔光子晶体可见光谱段窄带偏振陷波研究 下载： 722次

图 1. 矩孔光子晶体结构示意图。(a)三维模型; (b) x-y平面二维示意图

Fig. 1. Schematic of photonic crystal with periodic rectangular holes. (a) Three-dimensional model; (b) two-dimensional model in x-y plane

图 2. 模型示意图。(a)单周期结构; (b)等效层结构

Fig. 2. Schematic of model. (a) Singly periodic structure; (b) equivalent layered structure

图 3. 等效折射率随光栅层填充比f的变化曲线

Fig. 3. Equivalent refractive index versus filling ratio f of grating layer

图 4. 可见光谱段内陷波滤波特性随光栅层填充比f和波长的变化. (a) s偏振; (b) p偏振

Fig. 4. Notch filtering features of visible light spectra versus filling ratio f of grating layer and wavelength. (a) s polarization; (b) p polarization

图 5. 可见光谱段内陷波滤波特性随厚度d和波长的变化:(a) p偏振; (b) s偏振

Fig. 5. Notch filtering features of visible light spectra versus thickness d and wavelength. (a) p polarization; (b) s polarization

图 6. 陷波滤波特性在不同陷波中心波长(435, 485, 535, 585, 635, 685 nm)的情况下随填充比f的变化关系

Fig. 6. Notch filtering features of visible light spectra with central wavelengths of 435, 485, 535, 585, 635, 685 nm versus filling ratio f

图 7. 填充比分别为0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9时,中心波长处透过率与周期层数m的关系曲线。(a) p偏振; (b) s偏振

Fig. 7. Transmittance at central wavelength versus periodic layer number m when filling ratios are 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. (a) p polarization; (b) s polarization

图 8. 不同中心波长下可见光谱段内陷波滤波特性曲线。(a) 417 nm; (b) 497 nm; (c) 582 nm; (d) 685 nm

Fig. 8. Notch filtering features of visible light spectra under different central wavelengths. (a) 417 nm; (b) 497 nm; (c) 582 nm; (d) 685 nm

表 1不同中心波长下,p偏振与s偏振在填充比f=0.37, 0.5, 0.75时的陷波带宽

Table1. Notch filtering band widths for p polarization and s polarization when filling ratios f are 0.37, 0.5, 0.75 and central wavelengths are different nm

表 2不同填充比下,s偏振与p偏振的透过截止的周期层数、截止带宽B以及最小透过率Tmin

Table2. Layer number, notch band width B and minimum transmittance Tmin for p polarization and s polarization under different filling ratios

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