Impact of structural asymmetry on the efficiency of triple-core photonic crystal fiber for all-optical logic operation

T. Uthayakumar; R. Vasantha Jayakantha Raja; K. Porsezian; Ph. Grelu

doi:10.1364/JOSAB.32.001920

Journal of the Optical Society of America B
Vol. 32,
Issue 9,
pp. 1920-1929
(2015)
•https://doi.org/10.1364/JOSAB.32.001920

Impact of structural asymmetry on the efficiency of triple-core photonic crystal fiber for all-optical logic operation

T. Uthayakumar, R. Vasantha Jayakantha Raja, K. Porsezian, and Ph. Grelu

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T. Uthayakumar, R. Vasantha Jayakantha Raja, K. Porsezian, and Ph. Grelu, "Impact of structural asymmetry on the efficiency of triple-core photonic crystal fiber for all-optical logic operation," J. Opt. Soc. Am. B 32, 1920-1929 (2015)

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Table of Contents Category
- Fiber Optics and Optical Communications
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About this Article
History
- Original Manuscript: May 21, 2015
- Revised Manuscript: July 18, 2015
- Manuscript Accepted: July 20, 2015
- Published: August 18, 2015

Abstract

We investigate the nonlinear dynamics and steering performance of structurally asymmetric triple-core photonic crystal fiber (ATPCF) for the accomplishment of efficient all-optical logic gates. We study two kinds of ATPCF, one with planar and the other with triangular core setting. The effective mode indices are obtained through the finite element method. The dynamics and steering characteristics of ATPCF are numerically explored via coupled nonlinear Schrödinger equations. The extinction ratios for the various logic gate operations are determined in the presence of suitable control signal. ATPCFs are found to demonstrate efficient logic gate operation; in addition, they highlight the practical issue of geometrical tolerance in PCF design.

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I1	I2	CS	O1	O2	CS	O1	O2	CS	O1	O2
0	0	1	5.09 dB	−5.09 dB	1	5.09 dB	−5.09 dB	0
			1	0		1	0		0	0
0	1	1	−12.09 dB	12.09 dB	1	−12.09 dB	12.09 dB	1	−12.09 dB	12.09 dB
			0	1		0	1		0	1
1	0	1	−2.15 dB	2.15 dB	1	−2.15 dB	2.15 dB	1	−2.15 dB	2.15 dB
			0	1		0	1		0	1
1	1	1	−9.16 dB	9.16 dB	0	4.30 dB	−4.30 dB	0	4.30 dB	−4.30 dB
			0	1		1	0		1	0
Logic Gates			NOR Gate, NOT Gate	OR Gate		XNOR Gate	XOR Gate		AND Gate	XOR Gate

Logic gates	0.7	0.8	0.9	1	1.1	1.2	1.3
NOT	12.1	17.1	23.1	28.5	28.2	23.8	18.1
NOR	12.1	17.1	23.1	28.5	28.2	23.8	18.1
OR	12.1	17.1	23.1	28.5	28.2	23.8	18.1
XNOR	13.4	16.7	20.7	23.6	21.4	18.2	16.2
XOR	13.4	16.7	20.7	23.6	21.4	18.2	16.2
AND	8.3	11.6	15.6	18.6	16.3	13.1	11.1
XOR	8.3	11.6	15.7	18.6	16.3	13.1	11.1

I1	I2	CS	O1	O2	CS	O1	O2	CS	O1	O2
0	0	0			0			1	−2.183 dB	2.183 dB
			0	0		0	0		0	1
0	1	0	−3.24 dB	3.24 dB	0	−3.24 dB	3.24 dB	1	19.60 dB	−19.60 dB
			0	1		0	1		1	0
1	0	1	−12.94 dB	12.94 dB	1	−12.94 dB	12.94 dB	0	1.76 dB	−1.76 dB
			0	1		0	1		1	0
1	1	1	−12.54 dB	12.54 dB	0	−0.59 dB	0.59 dB	1	−12.54 dB	12.54 dB
			0	1		0	1		0	1
Logic Gates			—	OR Gate		—	OR Gate		XOR Gate	XNOR Gate

I1	I2	CS	O1	O2	CS	O1	O2	CS	O1	O2
0	0	1	−2.18 dB	2.18 dB	0			0
			0	1		0	0		0	0
0	1	1	19.60 dB	−19.60 dB	1	19.60 dB	−19.60 dB	1	19.60 dB	−19.60 dB
			1	0		1	0		1	0
1	0	0	1.76 dB	−1.76 dB	0	1.76 dB	−1.76 dB	0	1.76 dB	−1.76 dB
			1	0		1	0		1	0
1	1	0	−0.59 dB	0.59 dB	1	−12.54 dB	12.54 dB	0	−0.59 dB	0.59 dB
			0	1		0	1		0	1
Logic Gates			XOR Gate	XNOR Gate		XOR Gate	AND Gate		XOR Gate	AND Gate

Logic gates	1.1	1.2	1.3	1.4	1.5	1.6	1.7	1.8	1.9	2
OR	2.40	8.71	13.76	21.37	28.72	21.32	13.75	8.70	2.40	8.71
OR	1.86	7.20	10.40	14.22	16.77	14.21	10.39	7.20	1.86	7.20
XOR		8.42	14.03	23.46	36.07	23.40	14.01	8.41		8.42
XOR		6.23	11.85	21.28	33.89	21.22	11.82	6.23		6.23
XOR		4.72	8.48	14.13	21.94	14.10	8.47	4.72		4.72
XOR		6.90	10.66	16.31	24.13	16.28	10.65	6.90		6.90
XNOR		8.42	14.03	23.46	36.07	23.40	14.01	8.41		8.42
XNOR		6.91	10.66	16.31	24.13	16.29	10.65	6.90		6.91
AND		6.23	11.85	21.28	33.89	21.22	11.82	6.23		6.23
AND		4.72	8.48	14.13	21.94	14.10	8.47	4.72		4.72

I1	I2	CS	O1	O2	CS	O1	O2	CS	O1	O2
0	0	1	−7.28 dB	7.28 dB	0			0
			0	1		0	0		0	0
0	1	0	−1.35 dB	1.35 dB	0	−1.32 dB	1.32 dB	1	−1.35 dB	1.35 dB
			0	1		0	1		0	1
1	0	0	−8.75 dB	8.75 dB	0	−8.75 dB	8.75 dB	0	−8.75 dB	8.75 dB
			0	1		0	1		0	1
1	1	1	23.80 dB	−23.80 dB	0	−4.90 dB	4.90 dB	0	−4.90 dB	4.90 dB
			1	0		0	1		0	1
Logic Gates			AND Gate	NAND Gate NOT Gate		—	OR Gate		—	OR Gate

Logic gates	0.6	0.7	0.8	0.9	1.0	1.1	1.2	1.3	1.4	1.5
AND	18.52	20.04	21.89	24.33	28	35.41	41.48	28.38	22.84	19.06
AND	11.26	12.78	14.62	17.06	20.72	28.12	33.87	21.04	15.45	11.63
OR	14.97	14.97	14.97	14.97	14.97	14.97	14.97	14.97	14.97	14.97
OR	14.95	14.95	14.96	14.96	14.97	14.98	15	15.03	15.08	15.12
XOR	11.26	12.78	14.62	17.06	20.72	28.12	33.87	21.04	15.45	11.63
NAND	18.52	20.04	21.89	24.33	28	35.41	41.48	28.38	22.84	19.06
NOT	18.52	20.04	21.89	24.33	28	35.41	41.48	28.38	22.84	19.06

I1	I2	CS	O1	O2
0	0	1	−0.03 dB	−0.03 dB
			0	1
0	1	1	−28.19 dB	28.19 dB
			0	1
1	0	1	27.08 dB	−27.08 dB
			1	0
1	1	0	0.01 dB	−0.01 dB
			1	0
Logic Gates			—	NOT Gate

I1	I2	CS	O1	O2
0	0	1	0.30 dB	−0.30 dB
			1	0
0	1	1	6.93 dB	−6.93 dB
			1	0
1	0	1	−11.83 dB	11.83 dB
			0	1
1	1	0	−0.27 dB	0.27 dB
			0	1
Logic Gates			NOT Gate	—

Logic gate	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
NOT (TC1)	22.66	24.10	25.86	27.99	30.80	33.93	38.37	44.84	55.31	38.93
Logic gate	1.1	1.2	1.3	1.4	1.5	1.6	1.7	1.8	1.9	2
NOT (TC1)	47.57	37.92	31.44	26.87	23.71	21.71	20.68	20.42	20.75	21.53
Logic gate	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
NOT (TC2)	16.73	14.98	13.24	11.61	10.11	8.73	7.48	6.4	5.53	4.96
Logic gate	1.1	1.2	1.3	1.4	1.5	1.6	1.7	1.8	1.9	2
NOT (TC2)	4.81	5.29	6.53	8.61	11.39	14.54	17.42	19.15	19.33	18.32

Abstract

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Figures (8)

Tables (11)

Equations (11)

Journal of the Optical Society of America B