Reconfigurable Optoelectronic Chaotic Logic Gates in Vertical Cavity Surface Emitting Laser with Optical Feedback

Fig. 8. Stability of dynamic logic gates at different k_f. (a) k_fΙ=1.2ns^-1, k_fΙΙ=1.4ns^-1, k_fΙΙΙ=1.6ns^-1; (b) k_fΙ=1.4ns^-1, k_fΙΙ=1.5ns^-1, k_fΙΙΙ=1.6ns^-1; (c) k_fΙ=1.4ns^-1, k_fΙΙ=1.7ns^-1, k_fΙΙΙ=2ns^-1; (d) k_fΙ=1.8ns

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Table 1. Main parameters of system

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Table 1. Main parameters of system

Parameter and symbol	Value	Parameter and symbol	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	0
Nonradiative carrier relaxation γ_e/ns^-1	1	Crystal temperature F/ K	293
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
Effective refractive index of active layer n_g	3.6	Refractive index of e-light n₂	2.17
Effective area of light spot S_A/μm²	38.485	Differential material gain g/(m³·s^-1)	2.9×10^-12
Length of the laser cavity L_v/μm	10	Field confinement factor to the active region Γ	0.05
Normalized injection current μ	1.5	Volume of the active layer V/μm³	384.85

Table 2. σ_x_max and σ_x_min obtained from different logical operation relationships

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Table 2. σ_x_max and σ_x_min obtained from different logical operation relationships

Logic operation	(I₁, I₂) = (0, 0)		(I₁, I₂) = (0, 1) / (1, 0)		(I₁, I₂) = (1, 1)
Logic operation	G	σ_x	G	σ_x	G	σ_x
$G = I_{1} \cdot I_{2}$	0	σ_x_max=1.12×10^-4	0	σ_x_max=1.13×10^-4	1	σ_x_min=0.041
$G = \overset{\cdot}{I_{1}}$	1	σ_x_min=0.040	1	σ_x_min=0.041	0	σ_x_max=1.14×10^-4
$G = I_{1} + I_{2}$	0	σ_x_max=1.12×10^-4	1	σ_x_min=0.043	1	σ_x_min=0.041
$G = \overset{+}{I_{1}}$	1	σ_x_min=0.044	0	σ_x_max=1.11×10^-4	0	σ_x_max=1.17×10^-4
$G = I_{1} \oplus I_{2}$	0	σ_x_max=1.16×10^-4	1	σ_x_min=0.046	0	σ_x_max=1.15×10^-4
$G = I_{1} ☉ I_{2}$	1	σ_x_min=0.045	0	σ_x_max=1.14×10^-4	1	σ_x_min=0.047

Table 3. Truth table of AND gate
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Table 3. Truth table of AND gate
(I₁, I₂) G Output judgment Logic output X
(0,0) 0 σ_x≤ $σ_{x}^{*}$ 0
(0,1) 0 σ_x ≤ $σ_{x}^{*}$ 0
(1,0) 0 σ_x ≤ $σ_{x}^{*}$ 0
(1,1) 1 σ_x > $σ_{x}^{*}$ 1

Table 4. Truth table of NAND gate
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Table 4. Truth table of NAND gate
(I₁, I₂) G Output judgment Logic output X
(0,0) 1 σ_x> $σ_{x}^{*}$ 1
(0,1) 1 σ_x> $σ_{x}^{*}$ 1
(1,0) 1 σ_x> $σ_{x}^{*}$ 1
(1,1) 0 σ_x≤ $σ_{x}^{*}$ 0

Table 5. Truth table of OR gate
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Table 5. Truth table of OR gate
(I₁, I₂) G Output judgment Logic output X
(0,0) 0 σ_x≤ $σ_{x}^{*}$ 0
(0,1) 1 σ_x > $σ_{x}^{*}$ 1
(1,0) 1 σ_x > $σ_{x}^{*}$ 1
(1,1) 1 σ_x > $σ_{x}^{*}$ 1

Table 6. Truth table of NOR gate
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Table 6. Truth table of NOR gate
(I₁, I₂) G Output judgment Logic output X
(0,0) 1 σ_x> $σ_{x}^{*}$ 1
(0,1) 0 σ_x≤ $σ_{x}^{*}$ 0
(1,0) 0 σ_x≤ $σ_{x}^{*}$ 0
(1,1) 0 σ_x≤ $σ_{x}^{*}$ 0

Table 7. Truth table of XOR gate
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Table 7. Truth table of XOR gate
(I₁, I₂) G Output judgment Logic output X
(0, 0) 0 σ_x≤ $σ_{x}^{*}$ 0
(0, 1) 1 σ_x> $σ_{x}^{*}$ 1
(1, 0) 1 σ_x> $σ_{x}^{*}$ 1
(1, 1) 0 σ_x≤ $σ_{x}^{*}$ 0

Table 8. Truth table of XNOR gate
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Table 8. Truth table of XNOR gate
(I₁, I₂) G Output judgment Logic output X
(0, 0) 1 σ_x> $σ_{x}^{*}$ 1
(0, 1) 0 σ_x≤ $σ_{x}^{*}$ 0
(1, 0) 0 σ_x≤ $σ_{x}^{*}$ 0
(1, 1) 1 σ_x> $σ_{x}^{*}$ 1

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Xu Geliang, Da Cheng, Ni Qianlong, Zhou Shanpo, Cheng Feng. Reconfigurable Optoelectronic Chaotic Logic Gates in Vertical Cavity Surface Emitting Laser with Optical Feedback[J]. Chinese Journal of Lasers, 2020, 47(12): 1206003

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