Optical encryption/decryption of 8PSK signal using FWM-based modified XOR

Min Zhang; Yue Cui; Yueying Zhan; Zhiguo Zhang; Xue Chen

doi:10.1364/AO.54.007813

Applied Optics
Vol. 54,
Issue 25,
pp. 7813-7819
(2015)
•https://doi.org/10.1364/AO.54.007813

Optical encryption/decryption of 8PSK signal using FWM-based modified XOR

Min Zhang, Yue Cui, Yueying Zhan, Zhiguo Zhang, and Xue Chen

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Min Zhang, Yue Cui, Yueying Zhan, Zhiguo Zhang, and Xue Chen, "Optical encryption/decryption of 8PSK signal using FWM-based modified XOR," Appl. Opt. 54, 7813-7819 (2015)

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Abstract

A scheme for optical encryption/decryption of an eight-phase-shift keying (8PSK) signal is proposed, and this scheme applies modified optical XOR gates based on four-wave mixing (FWM) in a semiconductor optical amplifier (SOA). Theoretical analyses and simulations are conducted. Both the performance and the parameter design of a 40-Gbit/s all-optical encryption/decryption system under various key parameters are studied. The results are useful for designing optical encryption/decryption for complex modulated signals.

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		Key $b 2$ [ $c 21$ , $c 22$ , $c 23$ ( $θ_{2}$ )]
Encrypted Signal $b 3$ [ $c 31$ , $c 32$ , $c 33$ ( $θ_{3}$ )]		000 ( $π / 8$ )	001 ( $3 π / 8$ )	011 ( $5 π / 8$ )	010 ( $7 π / 8$ )	110 ( $- 7 π / 8$ )	111 ( $- 5 π / 8$ )	101 ( $- 3 π / 8$ )	100 ( $- π / 8$ )
Data $b 1$ [ $c 11$ , $c 12$ , $c 13$ ( $θ_{1}$ )]	000 ( $π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )
	001 ( $3 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )
	011 ( $5 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )
	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )
	110 ( $- 7 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )
	111 ( $- 5 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )
	101 ( $- 3 π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )
	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )

		Key $b 2$ [ $c 1$ , $c 2$ , ( $θ_{2}$ )]
Encrypted Signal $b 3$ [ $c 1$ , $c 2$ , ( $θ_{3}$ )]		00 ( $π / 4$ )	01 ( $3 π / 4$ )	11 ( $5 π / 4$ )	10 ( $7 π / 4$ )
Data $b 1$ [ $c 1$ , $c 2$ , ( $θ_{1}$ )]	00 ( $π / 4$ )	00 ( $π / 4$ )	11 ( $5 π / 4$ )	00 ( $π / 4$ )	11 ( $5 π / 4$ )
	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )
	11 ( $5 π / 4$ )	11 ( $5 π / 4$ )	00 ( $π / 4$ )	11 ( $5 π / 4$ )	00 ( $π / 4$ )
	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )

Parameters	Values
Center Wavelengths of Input Signals	$1553.52 nm / 193.1 THz$ (for Data $b_{1}$ ) $1553.12 nm / 193.15 THz$ (for Key $b_{2}$ )
Input Optical Power	$10 dBm / 10 mW$ (for both $b_{1}$ & $b_{2}$ )
Laser Linewidth	$1 \times 10^{5} Hz$ (for both $b_{1}$ & $b_{2}$ )
SOA Injection Current	0.24 A (for SOA1) 0.26 A (for SOA2)
SOA Linewidth Enhancement Factor	5 (for SOA1) 6 (for SOA2)
SOA Length	1.0 mm (for both SOAs)
SOA Width	3.0 μm (for both SOAs)
SOA Height	80 nm (for both SOAs)
SOA Internal Loss	$40.0 \times 10^{2} / m$ (for both SOAs)
Transparency Carrier Density in SOA	$1.4 \times 10^{24} m^{3}$ (for both SOAs)
SOA Material Gain	$2.78 \times 10^{- 20} m^{2}$ (for both SOAs)
EDFA Gain	20 dB
EDFA Pump Power	$20 dBm / 100 mW$
EDFA Pump Wavelength	1480.00 nm

		Key $b 2$ [ $c 21$ , $c 22$ , $c 23$ ( $θ_{2}$ )]
Encrypted Signal $b 3$ [ $c 31$ , $c 32$ , $c 33$ ( $θ_{3}$ )]		000 ( $π / 8$ )	001 ( $3 π / 8$ )	011 ( $5 π / 8$ )	010 ( $7 π / 8$ )	110 ( $- 7 π / 8$ )	111 ( $- 5 π / 8$ )	101 ( $- 3 π / 8$ )	100 ( $- π / 8$ )
Data $b 1$ [ $c 11$ , $c 12$ , $c 13$ ( $θ_{1}$ )]	000 ( $π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )
	001 ( $3 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )
	011 ( $5 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )
	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )
	110 ( $- 7 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )
	111 ( $- 5 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )
	101 ( $- 3 π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )	011 ( $5 π / 8$ )	110 ( $- 7 π / 8$ )	101 ( $- 3 π / 8$ )	000 ( $π / 8$ )
	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )	001 ( $3 π / 8$ )	010 ( $7 π / 8$ )	111 ( $- 5 π / 8$ )	100 ( $- π / 8$ )

		Key $b 2$ [ $c 1$ , $c 2$ , ( $θ_{2}$ )]
Encrypted Signal $b 3$ [ $c 1$ , $c 2$ , ( $θ_{3}$ )]		00 ( $π / 4$ )	01 ( $3 π / 4$ )	11 ( $5 π / 4$ )	10 ( $7 π / 4$ )
Data $b 1$ [ $c 1$ , $c 2$ , ( $θ_{1}$ )]	00 ( $π / 4$ )	00 ( $π / 4$ )	11 ( $5 π / 4$ )	00 ( $π / 4$ )	11 ( $5 π / 4$ )
	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )
	11 ( $5 π / 4$ )	11 ( $5 π / 4$ )	00 ( $π / 4$ )	11 ( $5 π / 4$ )	00 ( $π / 4$ )
	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )	01 ( $3 π / 4$ )	10 ( $7 π / 4$ )

Abstract

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Applied Optics