Author Affiliations
1 Key Laboratory of Opto-Electronic Measurement and Optical Information Transmission Technology of Ministry of Education, Changchun University of Science and Technology, Changchun, Jilin 130022, China2 School of Opto-Electronic, Changchun University of Science and Technology, Changchun, Jilin 130022, Chinashow less
Fig. 1. Schematic of photonic crystal with periodic rectangular holes. (a) Three-dimensional model; (b) two-dimensional model in x-y plane
Fig. 2. Schematic of model. (a) Singly periodic structure; (b) equivalent layered structure
Fig. 3. Equivalent refractive index versus filling ratio f of grating layer
Fig. 4. Notch filtering features of visible light spectra versus filling ratio f of grating layer and wavelength. (a) s polarization; (b) p polarization
Fig. 5. Notch filtering features of visible light spectra versus thickness d and wavelength. (a) p polarization; (b) s polarization
Fig. 6. Notch filtering features of visible light spectra with central wavelengths of 435, 485, 535, 585, 635, 685 nm versus filling ratio f
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
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
λ0 | f=0.37 | f=0.5 | f=0.75 |
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Bp | Bs | Bp | Bs | Bp | Bs |
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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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Table 1. 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
f | p polarization | s polarization |
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m | B /nm | Tmin | m | B /nm | Tmin |
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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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Table 2. Layer number, notch band width B and minimum transmittance Tmin for p polarization and s polarization under different filling ratios