Slow light in ellipse-hole photonic crystal line-defect waveguide with high normalized delay bandwidth product

Vali Varmazyari; Hamidreza Habibiyan; Hassan Ghafoorifard

doi:10.1364/JOSAB.31.000771

Journal of the Optical Society of America B
Vol. 31,
Issue 4,
pp. 771-779
(2014)
•https://doi.org/10.1364/JOSAB.31.000771

Slow light in ellipse-hole photonic crystal line-defect waveguide with high normalized delay bandwidth product

Vali Varmazyari, Hamidreza Habibiyan, and Hassan Ghafoorifard

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Vali Varmazyari, Hamidreza Habibiyan, and Hassan Ghafoorifard, "Slow light in ellipse-hole photonic crystal line-defect waveguide with high normalized delay bandwidth product," J. Opt. Soc. Am. B 31, 771-779 (2014)

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- Integrated Optics
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About this Article
History
- Original Manuscript: December 9, 2013
- Revised Manuscript: January 29, 2014
- Manuscript Accepted: January 29, 2014
- Published: March 12, 2014

Abstract

In this paper, a novel flatband slow light device with low group velocity dispersion (GVD) is presented in an ellipse-hole photonic crystal (PC) line-defect waveguide. Utilizing dispersion engineering in the proposed structure, normalized delay-bandwidth product (NDBP) under a constant group index criterion is significantly improved. A step-by-step optimization process is done on the adjacent rows to the waveguide, which are filled by silica. For optimum case a high NDBP of 0.461 with a group index of 41.86 and a bandwidth of 17.06 nm is obtained by three-dimensional plane-wave expansion method. To the best of our knowledge, this NDBP is one of the highest values in PC waveguides reported to date, in which the group index value is relatively high. The numerical results show that GVD is negligible over a broad wavelength range. Also, optical pulse propagation through the waveguide is performed based on the finite-difference time-domain method. The results indicate that the shape of output pulse experiences a broadening of 2.1% compared with the incoming pulse after traveling a distance of $30 a$ .

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$r_{a} (a)$	$n_{g}$	Bandwidth Centered at 1550 nm (nm)	NDBP
0.36	186.3	1.64	0.198
0.37	110.3	3.35	0.239
0.38	71.4	6.01	0.277
0.39	51.5	9.93	0.33
0.40	38.2	14.56	0.359
0.41	29.1	18.69	0.351

$r_{b} (a)$	$n_{g}$	Bandwidth Centered at 1550 nm (nm)	NDBP
0.45	39.09	14.74	0.397
0.46	38.43	16.21	0.402
0.47	38.26	16.48	0.407
0.48	38.1	16.68	0.410
0.49	37.71	16.77	0.408
0.50	37.46	16.75	0.405

$D_{x} (a)$	$n_{g}$	Bandwidth Centered at 1550 nm (nm)	NDBP
0.01	37.8	16.48	0.402
0.02	36.1	16.78	0.391
0.03	34.2	16.89	0.375
0.04	32.6	17.21	0.362
0.05	30.5	18.14	0.357
0.06	26.7	20.26	0.349

$D_{y} (a)$	$n_{g}$	Bandwidth Centered at 1550 nm (nm)	NDBP
0.075	39.2	17.12	0.433
0.10	39.95	17.07	0.440
0.125	40.92	16.85	0.445
0.15	41.86	17.06	0.461
0.175	38.5	17.79	0.442
0.20	31.7	19.90	0.407

Reference	$n_{g}$	$Δ λ$ (nm)	NDBP	Published Year
[34]	34	11	0.22	2006
[27]^a	37	8	0.19	2007
[18]	44	11	0.312	2008
[35]^a	42	6.7	0.181	2010
[36]	17.78	44	0.511	2012
[23]^a	31	18.54	0.37	2012
[37]	35	10	0.225	2013
[22]^a	42	16.4	0.446	2013
The present work	41.86	17.06	0.461	—

No.	$r_{a}$ (nm)	$r_{b}$ (nm)	$n_{g}$	$Δ λ$ (nm)	NDBP
1	140	165	42.1	16.6	0.451
2	140	171	38.83	18.08	0.453
3	137	168	47.7	14.94	0.46
4	143	168	38.4	17.92	0.444
5	137	165	43.2	16.03	0.447
6	143	171	37.2	19.08	0.458
7	137	171	45.4	15.5	0.454
8	143	165	39.6	17.57	0.449

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