Slow Light Transmission of Photonic Crystal Waveguide with Wide Bandwidth and Large Normalized Delay Bandwidth Product

Rong Wu; Yanyan Ma; Longfei Li

doi:10.3788/LOP202158.0723002

Laser & Optoelectronics Progress, Volume. 58, Issue 7, 0723002(2021)

Slow Light Transmission of Photonic Crystal Waveguide with Wide Bandwidth and Large Normalized Delay Bandwidth Product

Rong Wu, Yanyan Ma^*, and Longfei Li

Author Affiliations

School of Electronics and Information Engineering, Lanzhou Jiaotong University, Lanzhou , Gansu 730030, China

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Abstract Get PDF(in Chinese)

Figures & Tables(11)

Fig. 1. Schematic of perfect photonic crystal structure. (a) Schematic of perfect lattice; (b) schematic of PCW structure

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Fig. 2. Comparison of slow light properties of PCW without and with extrinsic defect rods. (a) GVD versus normalized frequency; (b) group index versus normalized frequency

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Fig. 3. Slow light properties affected by the radius $r_{1}$ in the range of $0.11 a \leq r_{1} \leq 0.16 a$ with $r_{2}$ and $r_{3}$ fixed at 0.20a. (a) Dispersion curves of guided modes; (b) group index versus normalized frequency; (c) GVD versus normalized frequency

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Fig. 4. Slow light properties affected by the radius $r_{3}$ changing from 0.28a to 0.34a with $r_{1}$ fixed at 0.14a and $r_{2}$ fixed at 0.20a. (a) Group velocity versus normalized frequency; (b) group index versus normalized frequency; (c) GVD versus normalized frequency

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Fig. 5. Slow light properties affected by the radius $r_{2}$ changing from 0.24a to 0.28a with $r_{1}$ fixed at 0.14a and $r_{3}$ fixed at 0.31a. (a) Dispersion curves of guided modes; (b) group velocity versus normalized frequency; (c) GVD versus normalized frequency

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Fig. 6. When $0.25 a \leq r_{2} \leq 0.28 a$ , the bandwidth comparison of each radius value. (a) $r_{2} = 0.25 a$ ; (b) $r_{2} = 0.26 a$ ; (c) $r_{2} = 0.27 a$ ; (d) $r_{2} = 0.28 a$

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Table 1. Slow light properties affected by the radius $r_{1}$ for $0.11 a \leq r_{1} \leq 0.16 a$ and $r_{2} = r_{3} = r = 0.20 a$
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Table 1. Slow light properties affected by the radius $r_{1}$ for $0.11 a \leq r_{1} \leq 0.16 a$ and $r_{2} = r_{3} = r = 0.20 a$
NDBP
0.11 22.4 68.2 10.57 28.46 0.1941
0.12 35.9 112.0 17.35 19.73 0.2209
0.13 47.7 152.3 23.61 14.85 0.2262
0.14 60.4 197.3 30.59 11.73 0.2314
0.15 67.5 225.4 34.95 9.44 0.2129
0.16 80.5 274.2 42.51 7.92 0.2173

Table 2. Slow light properties affected by the radius $r_{3}$ for $0.28 a \leq r_{3} \leq 0.34 a$ and $r_{1} = 0.14 a$ , $r_{2} = r = 0.20 a$

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Table 2. Slow light properties affected by the radius $r_{3}$ for $0.28 a \leq r_{3} \leq 0.34 a$ and $r_{1} = 0.14 a$ , $r_{2} = r = 0.20 a$

					NDBP
0.28	73.7	243.4	37.73	12.49	0.3041
0.29	74.7	246.9	38.28	12.33	0.3044
0.30	80.9	267.7	41.49	12.25	0.3281
0.31	82.0	271.6	42.09	12.09	0.3284
0.32	83.0	275.2	42.65	11.94	0.3052
0.33	84.3	279.8	43.38	10.92	0.3056
0.34	85.7	284.9	44.16	10.74	0.3061

Table 3. Slow light properties affected by the radius $r_{2}$ for $0.24 a \leq r_{2} \leq 0.28 a$ and $r_{1} = 0.14 a$ , $r_{3} = 0.31 a$

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Table 3. Slow light properties affected by the radius $r_{2}$ for $0.24 a \leq r_{2} \leq 0.28 a$ and $r_{1} = 0.14 a$ , $r_{3} = 0.31 a$

					NDBP	GVD()
0.24	50.0	169.6	26.29	18.41	0.3123	-2089.9-2454.8
0.25	45.1	154.0	23.86	21.98	0.3384	-2096.4-4596.7
0.26	44.7	153.6	23.80	22.17	0.3405	-2220.4-3988.7
0.27	43.6	150.8	23.38	24.35	0.3671	-2520.9-4550.5
0.28	43.3	150.8	23.37	26.16	0.3944	-2174.5-3712.3

Table 4. Comparison of slow light characteristics when introducing InP extrinsic defects and Si intrinsic defects
View table
Table 4. Comparison of slow light characteristics when introducing InP extrinsic defects and Si intrinsic defects
Type of defect NDBP
With InP defect 43.3 150.8 23.37 26.16 0.3944
With Si defect 27.3 100.5 15.57 18.14 0.1823

Table 5. $n_{g}$ , $Δ λ$ at 1550 nm, and NDBP in different literatures

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Table 5. $n_{g}$ , $Δ λ$ at 1550 nm, and NDBP in different literatures

Structure			NDBP
Proposed structure	26.16	23.37	0.3944
Structurein Ref.[19]	23.0		0.385
Structurein Ref.[20]	24.01		0.2728
Structurein Ref.[21]	850	0.6689	0.378
Structurein Ref.[22]	21	20.3
Structurein Ref.[23]	20.1	23.04	0.3083
Structurein Ref.[24]	373.4	0.068
Structurein Ref.[10]	48	12.21	0.378
Structurein Ref.[9]			0.245
Structurein Ref.[25]	54.55	9.13	0.32

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Rong Wu, Yanyan Ma, Longfei Li. Slow Light Transmission of Photonic Crystal Waveguide with Wide Bandwidth and Large Normalized Delay Bandwidth Product[J]. Laser & Optoelectronics Progress, 2021, 58(7): 0723002

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Paper Information

Category: Optical Devices

Received: Aug. 3, 2020

Accepted: Sep. 8, 2020

Published Online: Apr. 25, 2021

The Author Email: Yanyan Ma (mayanyanlll@outlook.com)

DOI:10.3788/LOP202158.0723002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Slow light properties affected by the radius r1 for 0.11a≤r1≤0.16a and r2=r3=r=0.20a

Table 1. Slow light properties affected by the radius r1 for 0.11a≤r1≤0.16a and r2=r3=r=0.20a

Table 2. Slow light properties affected by the radius r3 for 0.28a≤r3≤0.34a and r1=0.14a, r2=r=0.20a

Table 2. Slow light properties affected by the radius r3 for 0.28a≤r3≤0.34a and r1=0.14a, r2=r=0.20a

Table 3. Slow light properties affected by the radius r2 for 0.24a≤r2≤0.28a and r1=0.14a, r3=0.31a

Table 3. Slow light properties affected by the radius r2 for 0.24a≤r2≤0.28a and r1=0.14a, r3=0.31a

Table 4. Comparison of slow light characteristics when introducing InP extrinsic defects and Si intrinsic defects

Table 4. Comparison of slow light characteristics when introducing InP extrinsic defects and Si intrinsic defects

Table 5. ng,Δλ at 1550 nm, and NDBP in different literatures

Table 5. ng,Δλ at 1550 nm, and NDBP in different literatures

Table 1. Slow light properties affected by the radius $r_{1}$ for $0.11 a \leq r_{1} \leq 0.16 a$ and $r_{2} = r_{3} = r = 0.20 a$

Table 1. Slow light properties affected by the radius $r_{1}$ for $0.11 a \leq r_{1} \leq 0.16 a$ and $r_{2} = r_{3} = r = 0.20 a$

Table 2. Slow light properties affected by the radius $r_{3}$ for $0.28 a \leq r_{3} \leq 0.34 a$ and $r_{1} = 0.14 a$ , $r_{2} = r = 0.20 a$

Table 2. Slow light properties affected by the radius $r_{3}$ for $0.28 a \leq r_{3} \leq 0.34 a$ and $r_{1} = 0.14 a$ , $r_{2} = r = 0.20 a$

Table 3. Slow light properties affected by the radius $r_{2}$ for $0.24 a \leq r_{2} \leq 0.28 a$ and $r_{1} = 0.14 a$ , $r_{3} = 0.31 a$

Table 3. Slow light properties affected by the radius $r_{2}$ for $0.24 a \leq r_{2} \leq 0.28 a$ and $r_{1} = 0.14 a$ , $r_{3} = 0.31 a$

Table 5. $n_{g}$ , $Δ λ$ at 1550 nm, and NDBP in different literatures

Table 5. $n_{g}$ , $Δ λ$ at 1550 nm, and NDBP in different literatures