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

Journals >Laser & Optoelectronics Progress >Volume 58 >Issue 7 >Page 0723002 > Article

Laser & Optoelectronics Progress
Vol. 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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DOI: 10.3788/LOP202158.0723002 Cite this Article Set citation alerts

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 Copy Citation Text

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

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

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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					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 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
0.28	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 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	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 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

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

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