Reconfigurable and Storable Chaotic Logic Operations with the Performance of Error Detection and Correction

Geliang XU; Shiliang XING; Song YE; Jiaqi DENG; Man ZHANG

doi:10.3788/gzxb20235211.1106004

Acta Photonica Sinica, Volume. 52, Issue 11, 1106004(2023)

Reconfigurable and Storable Chaotic Logic Operations with the Performance of Error Detection and Correction

Geliang XU1,*... Shiliang XING2, Song YE1, Jiaqi DENG1 and Man ZHANG1 |Show fewer author(s)

Author Affiliations

¹School of Electronic Engineering，Chaohu University，Hefei 238000，China

²School of Machinery and Electronics Engineering，Jingdezhen University，Jingdezhen 333000，China

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Figures & Tables(13)

Fig. 1. The setup for chaotic system of drive-response VCSELs

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Fig. 2. Dynamic state evolutions of polarized light x-PC_D1，y-PC_D1，x-PC_R and y-PC_R in the parameter space E_D and μ_D

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Fig. 3. Dynamic evolutions of the correlation function within the parameter space of the applied electric field and the normalized injection current

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Fig. 4. The evolution curves of the correlation function with the change of the normalized injection current when the applied electric field is 0.434 3 kV/mm，0.583 kV/mm，0.73 kV/mm and 1 kV/mm

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Fig. 5. Reconfigurable and storable chaotic logic OR，NAND，AND，XNOR，XOR and NOR operations

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Fig. 6. Effect of noise strength D=1×10⁹ on logic outputs Z₁，Z₂，Z₃ and Z₄

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Fig. 7. Effect of noise strength D=1.77×10⁹ on logic outputs Z₁，Z₂，Z₃and Z₄

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Fig. 8. Effect of noise strength D=1.84×10⁹ on logic outputs Z₁，Z₂，Z₃ and Z₄

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Fig. 9. Effect of noise strength D=1.89×10⁹ on logic outputs Z₁，Z₂，Z₃ and Z₄

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Fig. 10. The evolution of the success probability P with the time delay τ_c

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Table 1. Main system parameters

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Table 1. Main system parameters

Parameters	Value	Parameters	Value
Line-width enhancement factor a	3	Duty ratio R	0.5
field decay rate k	300	Polar angle θ/π	1/2
Spin relaxation rate γ_s/ns^-1	50	Azimuth φ/（^o）	0
Nonradiative carrier relaxation γ_e/ns^-1	1	The noise strength D	10⁸
Dichroism γ_a /ns^-1	-0.1	Poled period of crystal Λ/m^-1	5.8×10⁵
Birefringence γ_p /ns^-1	2	Crystal length L/mm	15
Delay time τ/ns	2	Refractive index of o-light n₁	2.24
Delay time τ_c/ns	5	Refractive index of e-light n₂	2.17
Bit duration time/ns	10	Differential material gain g/（s·m^-3）	2.9×10^-12
Effective area of light spot S_A/μm²	38.485	wave length λ₀/nm	1 550
Length of the laser cavity L_V/μm	10	Field confinement factor to the active region Г	0.05
Effective refractive index of active layer n_g	3.6	Optical feedback strength k_f/ns^-1	1.13
Volume of the active layer V/μm³	384.85	Optical injection strength k_inj/ns^-1	1.13

Table 2. Maximum of the mean values of I_D_x（t）and I_R_x（t）for C_f=0 and minimum of the mean values of I_D_x（t）and I_R_x（t）for C_f=1 for different logic operations that C_f and the logic inputs satisfy

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Table 2. Maximum of the mean values of I_D_x（t）and I_R_x（t）for C_f=0 and minimum of the mean values of I_D_x（t）and I_R_x（t）for C_f=1 for different logic operations that C_f and the logic inputs satisfy

Logic operations	（I₁，I₂）=（0，0）		（I₁，I₂）=（0，1）/（1，0）		（I₁，I₂）=（1，1）
Logic operations	C_f	A_D_x，A_R_x	C_f	A_D_x，A_R_x	C_f	A_D_x，A_R_x
C_f=I₁·I₂	0	A_D_x_max=1.1×10^-4 A_R_x_max=1.0×10^-4	0	A_D_x_max=0.002 A_R_x_max=0.002	1	A_Dxmin=0.028 A_Rxmin=0.025
$C_{f} = \bar{I_{1} \cdot I_{2}}$	1	A_D_x_min=0.029 A_R_x_min=0.038	1	A_D_x_min=0.027 A_R_x_min=0.024	0	A_D_x_max=7.5×10^-4 A_R_x_max=0.003
C_f=I₁+I₂	0	A_D_x_max=2.5×10^-4 A_R_x_max=0.003 3	1	A_D_x_min=0.027 A_R_x_min=0.022	1	A_D_x_min=0.028 A_R_x_min=0.033
$C_{f} = \bar{I_{1} + I_{2}}$	1	A_D_x_min=0.029 A_R_x_min=0.028	0	A_D_x_max=1.07×10^-4 A_R_x_max=0.006 4	0	A_D_x_max=1.1×10^-4 A_R_x_max=1.0×10^-4
C_f=I₁⊕I₂	0	A_D_x_max=5.3×10^-4 A_R_x_max=0.003	1	A_D_x_min=0.029 A_R_x_min=0.024	0	A_D_x_max=6.2×10^-4 A_R_x_max=0.004
C_f=I₁⊙I₂	1	A_D_x_min=0.029 A_R_x_min=0.028	0	A_D_x_max=0.002 A_R_x_max=0.005	1	A_D_x_min=0.029 A_R_x_min=0.028

Table 3. Maximum of the mean square errors of SE_x and SE_ywhen C_f=0 and minimum of the mean square errors of SE_x and SE_y when C_f=1 for different logic operations that C_f and the logic inputs satisfy

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Table 3. Maximum of the mean square errors of SE_x and SE_ywhen C_f=0 and minimum of the mean square errors of SE_x and SE_y when C_f=1 for different logic operations that C_f and the logic inputs satisfy

Logic operations	（I₁，I₂）=（0，0）		（I₁，I₂）=（0，1）/（1，0）		（I₁，I₂）=（1，1）
Logic operations	C_f	M_x，M_y	C_f	M_x，M_y	C_f	M_x，M_y
C_f=I₁·I₂	0	M_x_max=2.67×10^-5 M_y_max=3.75×10^-4	0	M_x_max=2.15×10^-4 M_y_max=1.46×10^-4	1	M_x_min=0.001 7 M_y_min=0.001 4
$C_{f} = \bar{I_{1} \cdot I_{2}}$	1	M_x_min=0.002 5 M_y_min=0.001 3	1	M_x_min=0.001 7 M_y_min=0.003	0	M_x_max=4.13×10^-5 M_y_max=5.38×10^-4
C_f=I₁+I₂	0	M_x_max=1.35×10^-4 M_y_max=1.01×10^-4	1	M_x_min=0.002 5 M_y_min=0.002 6	1	M_x_min=7.75×10^-4 M_y_min=0.002 1
$C_{f} = \bar{I_{1} + I_{2}}$	1	M_x_min=0.001 3 M_y_min=0.001 9	0	M_x_max=1.58×10^-4 M_y_max=5.91×10^-5	0	M_x_max=7.26×10^-5 M_y_max=1.48×10^-5
C_f=I₁⊕I₂	0	M_x_max=1.36×10^-5 M_y_max=2.08×10^-5	1	M_x_min=0.002 9 M_y_min=0.002 6	0	M_x_max=1.4×10^-5 M_y_max=1.77×10^-5
C_f=I₁⊙I₂	1	M_x_min=9.99×10^-4 M_y_min=0.002	0	M_x_max=4.34×10^-5 M_y_max=1.01×10^-4	1	M_x_min=9.92×10^-4 M_y_min=0.001 6

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Geliang XU, Shiliang XING, Song YE, Jiaqi DENG, Man ZHANG. Reconfigurable and Storable Chaotic Logic Operations with the Performance of Error Detection and Correction[J]. Acta Photonica Sinica, 2023, 52(11): 1106004

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Paper Information

Category: Fiber Optics and Optical Communications

Received: Apr. 23, 2023

Accepted: May. 30, 2023

Published Online: Dec. 22, 2023

The Author Email: XU Geliang (xugeliang1027@163.com)

DOI:10.3788/gzxb20235211.1106004

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Main system parameters

Table 1. Main system parameters

Table 2. Maximum of the mean values of IDx（t）and IRx（t）for Cf=0 and minimum of the mean values of IDx（t）and IRx（t）for Cf=1 for different logic operations that Cf and the logic inputs satisfy

Table 2. Maximum of the mean values of IDx（t）and IRx（t）for Cf=0 and minimum of the mean values of IDx（t）and IRx（t）for Cf=1 for different logic operations that Cf and the logic inputs satisfy

Table 3. Maximum of the mean square errors of SEx and SEywhen Cf=0 and minimum of the mean square errors of SEx and SEy when Cf=1 for different logic operations that Cf and the logic inputs satisfy

Table 3. Maximum of the mean square errors of SEx and SEywhen Cf=0 and minimum of the mean square errors of SEx and SEy when Cf=1 for different logic operations that Cf and the logic inputs satisfy

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Table 2. Maximum of the mean values of I_D_x（t）and I_R_x（t）for C_f=0 and minimum of the mean values of I_D_x（t）and I_R_x（t）for C_f=1 for different logic operations that C_f and the logic inputs satisfy

Table 2. Maximum of the mean values of I_D_x（t）and I_R_x（t）for C_f=0 and minimum of the mean values of I_D_x（t）and I_R_x（t）for C_f=1 for different logic operations that C_f and the logic inputs satisfy

Table 3. Maximum of the mean square errors of SE_x and SE_ywhen C_f=0 and minimum of the mean square errors of SE_x and SE_y when C_f=1 for different logic operations that C_f and the logic inputs satisfy

Table 3. Maximum of the mean square errors of SE_x and SE_ywhen C_f=0 and minimum of the mean square errors of SE_x and SE_y when C_f=1 for different logic operations that C_f and the logic inputs satisfy