A novel proposal based on 2D linear resonant cavity photonic crystals for all-optical NOT, XOR and XNOR logic gates

Kouddad Elhachemi; Naoum Rafah

doi:10.1515/joc-2020-0184

Article Open Access

A novel proposal based on 2D linear resonant cavity photonic crystals for all-optical NOT, XOR and XNOR logic gates

Kouddad Elhachemi and Naoum Rafah

Published/Copyright: November 5, 2020

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From the journal Journal of Optical Communications Volume 44 Issue s1

Abstract

In this paper, we are going to propose a novel structure of all-optical NOT, XOR and XNOR logic gates are presented using a two-dimensional photonic crystal (2D-PhC). This structure is optimized by varying the radius of the cavity, to obtain a quality factor Q = 1192, and also has several ports of entry and one port of output. The size of each structure is equal to 85.8 μm². The contrast ratios for the structures proposed all-optical NOT, XOR and XNOR logic gates between levels “0” and “1” are, respectively, 25.08, 25.03, and 14.47 dB. The response time for the three logical gates is 8.33 ps, and the bit rate is calculated at about 0.12 Tbit/s, all simulations are based on both numerical methods such as finite difference time domain (FDTD) and plane wave expansion (PWE). Designed logic gates are characterized by low power consumption, compactness and easy integration.

Keywords: all-optical XNOR and NOT XOR logic gate; contrast ratio; interference effect; photonic crystal; optical integrated circuits (OIC); resonant cavities

1 Introduction

In the world of communication, the speed of data transfer and bandwidth are essential parameters of modern telecommunications networks [1]. Optical communications networks have high bandwidth and acceptable speed, which can receive and send a large volume of data since they use light for information transfer [2]. On the other hand, the issue of converting an electrical signal into an optical signal and vice versa in optical telecommunications networks creates a loss of energy and time. The efficiency of these systems is greatly decreased. Therefore, the tendency to replace processors with all-optical processors has increased [3]. Logic gates are the main components of the processing unit and a lot of attention has been paid to the design of optical logic gates [4].

All-optical logic gates based on photonic crystals (PhCs) have attracted worldwide attention due to the low switching power and high speed of data transfer [5]. Photonic crystals are periodic structures that provide a photonic bandgap (PBG) specifying a frequency region where no propagating electromagnetic wave exists. Band gap-based PCs have a wide range of applications that can revolutionize the technology and industry [6], [7], [8].

Due to its specific features in controlling the propagation of optical signals, PhCs received considerable attention from researchers [9], [10]. Among the methods suggested, we can divide into four categories: self-collimated beam, nonlinear Kerr material-based gates, multi-mode interference, and interference-based defect method [11]. So far, a lot of effort has been made to design all-optical logic gates [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], while few studies focused on the development of multifunctional structures. These structures offer considerable flexibility in the design of digital systems. In the study by Hussein et al. [22], photonic crystal based on the interference effects for NOT and XOR logic gates. The structure made up of germanium dielectric rods in the air substrate, a ring resonator with two waveguide inputs and one output. To create destructive interference, the method of changing the lengths of the input waveguides was used. The dimensions of the structure are 14 μm in 11.1 μm, and the overall area is 155.4 μm², and the contrast ratio for the XOR logic gate is 11.64 dB, and for the NOT logic gate, contrast ration is 12.15 dB. Also, Hussein et al. [22] proposed a new design for the XNOR gate, with a surface area of 240.1 μm², and the contrast ratio equal to 9.38 dB. In the studies by Rani et al. [23], [24], multi-functional PhC structures were designed using a triangular lattice of air holes in a Si substrate, The waveguide interference in the proposed structures has been used to create logic operations. Different logic functions are realized in different input permutations based on the phase change of the inputs. A multi-functional PC structure is designed in the study by haq Shaik and Rangaswamy [25], based on a square lattice of Si rods in the air background. This structure was designed using a T-shaped waveguide, which creates different logic functions by changing the phase of the inputs in different inputs permutations. However, the most crucial problem with these works, studies by Rani et al. and haq Shaik and Rangaswamy [23], [24], [25], is the requirement to change the phase of the inputs at different input permutations, which makes it practically impossible to use those structures in optical integrated circuits.

In this paper, we have proposed a new structure for the implementation logic gates of all-optical NOT, XOR and XNOR, based on a resonant cavity and the interference effect. The fundamental structure used to design these proposed gates is ultra-compact with a surface area of (7.8 × 11 μm²) and simple to fabricate with low power consumption. The results obtained are compared to the results published previously to validate the performance of our proposed structure. The simplification of the design and the very high contrast ratio (CR) are the advantages of our structure compared to the logic gates previously provided.

2 Simulation methods

In this paper, we have used the Bandsolve simulation tool of Rsoft Photonic CAD software to simulate the efficiency of logic circuits based on the plane wave method which is adapted for the calculation of frequency bands and the FullWave simulation tool based on the 2D-FDTD method, for modeling the electromagnetic behavior of excitation in an all-optical component [26].

The most important parameter to examine the efficiency of all-optical logic gates is the contrast ratio. The contrast ratio is defined as follows [27]:

(1) C R ( dB ) = 10 log P 1 P 0

where P ₁ is the output power for logic “1” and P ₀ is the output power for logic “0.”

Another parameter for examining the efficiency of the logic circuits is the response time, which is a factor of the speed of data transmission through the logic circuits. Depending on the type of resonance used for the design, the response time will be different. Shorter response time will result in very high data transmission speeds [28].

3 Description of the initial structure

The initial structure used for the design of the proposed all-optical logic gates is (20 × 14) the square lattice of silicon rods with a refractive index of 3.43 in the air (Figure 1). The radius of the dielectric rods is r/a = 0.2, where a = 52 nm is the PhC lattice constant. TE band diagram for selected parameters includes the band structure of the initial structure shows two photonic band gaps (PBGs) situated between the normalized frequencies for TE/TM mode 0.28 < a/λ < 0.42 and 0.73 < a/λ < 0.74, or in other words 1.23 µm < λ < 1.85 µm and 0.70 µm < λ < 0.71 µm, respectively, (Figure 2). The results show that the design proposed may be used in the third communication window (λ = 1550 nm) and is useful for all-optical communications.

Figure 1:

The initial structure (dielectric rods made up of silicon in air substrate).

Figure 2:

TE band diagram for selected parameters (r/a = 0.2).

Figure 3:

Schematic block diagram of the proposed structure for the NOT logic gate.

The initial design of the all-optical logic gate consists of three ports that are coupled between them by a resonant cavity by a waveguide, which is presented in Figure 4. This structure is optimized by varying the cavity radius, to obtain a quality factor Q = 1192, the resonant cavity rod radius has been modified to achieve high performance. The output spectrum, presented in Figure 5, of the proposed linear logical gate is 87% around the central wavelength of λ = 1550 nm where (Bias = 1, Input = 0).

Figure 4:

The final design of our proposed all-optical NOT logic gate.

Figure 5:

The resonant spectrum of the resonant cavity.

4 Results and discussion

4.1 Results of the simulation of “NOT”

A schematic block diagram of the structure proposed for the NOT logic gate is shown in Figure 3. For the all-optical NOT gate, the two input ports are labeled “Bias” and “Input,” and the output port is labeled “Output,” each port is connected to the resonant cavity by a waveguide.

The proposed operating states of the logic gate “NOT” are summarized in Table 1. According to Figure 3 and Table 1, the “bias” is permanently placed at logic “1” and plays the role of signal control. If the normalized output signal intensity is higher than or equal to 50%, the logic level is considered to be “1” and if it is less than or equal 5%, it is “0,” as shown in Figure 6.

Table 1:

Truth table and optical power in output for all-optical NOT logic gate.

Bias	Input	Output logic	Contrast ratio (CR)	Response period	BIT rate
Power	Power	Power normalized	25.08 dB	8.33 ps	0.12 Tbit/s
1 (P _in)	0	1(0.87 P _in)
1 (P _in)	1 (P _in)	0 (0.0027 P _in)

Figure 6:

Transmission level ranges.

Case 1:

When “Bias” = 1, “Input” = 0. The optical signal “P _in” at the input of “Bias” couples to the resonant cavity using light-trapping phenomenon and transmitted to the output port “Output = 1” with an efficiency of 87% at a wavelength of λ = 1550 nm, as shown in Figures 7(a) and 8(a).

Figure 7:

Optical field distribution for different states for proposed NOT gate for:

(a) Bias = 1, Input = 0. (b) Bias = 1, Input = 1.

Figure 8:

Time-evolving curve of proposed “NOT gate” for:

(a) Bias = 1, Input = 0. (b) Bias = 1, Input = 1.

Case 2:

At “Bias” = 1, “Input” = 1. If the two inputs “Bias” and “Input” are equal to “1,” the signal inputs have a destructive interference which gives an output signal “Output = 0.” In this case, the output monitor receives a very low power up to 0.0027% of the “P _in” signal input power, as shown in Figures 7(b) and 8(b).

This “NOT” gate is compared by several logic gates as presented in previous studies [20], [29], [30], [31], [32]. Table 2 shows that the proposed “NOT” logic gate is smaller in size than the other motioned gates and has a very high contrast ratio.

Table 2:

Comparison table “NOT gate.”

	The operating wavelength, nm	Size of structure, μm²	CR	Response time, ps
Our work	1550	85.8	25.08	8.33
Bahabady-Olyaee [20]	1550	252	20.53	0.466
Singh and Rawal [29]	1550	122	5	–
Ghadrdan and Mansouri-Birjandi [30]	1550	144	10.79	0.84
Fu et al. [31]	1550	558	20	–
Jianga et al. [32]		729	9.33	–

4.2 Results of the simulation of “XOR”

One of the interests of all-optical logic gates based on photonic crystals is to be able to use one structure for multiple gates. Not only does the proposed structure serve as an all-optical logic gate “NOT,” but it can also be used as an all-optical logic gate “XOR.” A schematic block diagram of the proposed structure for the XOR logic gate is shown in Figure 9. According to Figure 10 and Table 3, this “XOR” gate is made up of two inputs (Input 1 and Input 2) and the output (Output). To test and simulate the operation of the proposed structure, the following cases can be examined:

Figure 9:

Schematic block diagram of the proposed structure for the XOR logic gate.

Figure 10:

The final design of our proposed all-optical XOR logic gate.

Table 3:

Truth table and optical power in output for all-optical XOR logic gate.

Bias	Input	Output logic	Contrast ratio	Response time, ps	BIT rate
Power (W/µm²)	Power (W/µm²)	Power normalized	25.03 dB	8.33 ps	0.12 Tbit/s
0	0	0
0	1 (P _in)	1(0.86 P _in)
1 (P _in)	0	1 (0.87 P _in)
1 (P _in)	1 (P _in)	0 (0.0027 P _in)

Case 1:

“Input 1” = “Input 2” = 0. When both inputs are equal to “0,” there is no transmission within the structure, so the output port is equal to “0,” as shown in Figures 11(a) and 12(a).

Figure 11:

Optical field distribution for different states for proposed “XOR” gate for:

(a) Input 1 = Input 2 = 0. (b) Input 1 = 0, Input 2 = 1. (c) Input 1 = 1, Input 2 = 0. (d) Input 1 = Input 2 = 1.

Figure 12:

Time evolving curve of proposed “XOR gate” for:

(a) Input 1 = Input 2 = 0. (b) Input 1 = 0, Input 2 = 1. (c) Input 1 = 1, Input 2 = 0. (d) Input 1 = Input 2 = 1.

Cases 2 and 3:

When “Input 1” = 0, “Input 2” = 1, and “Input 1” = 1, “Input 2” = 0, respectively, one of the “Input 1” or “Input 2” inputs is equal to “1” and the other is equal to “0,” the signal passes from the resonant cavity and reaches the output. In both cases (cases 2 and 3), the monitor receives up to 86% and 87% of the “P _in” input intensity at a wavelength of λ = 1550 nm. As shown in Figures 11(b–c) and 12(b–c).

Case 4:

At “Input 1” = “Input 2” = 1. If the two inputs “Input 1” and “Input 2” are equal to “1,” the signal inputs have destructive interference which in this case gives an output signal “Output = 0,” and the output monitor receives up to 0.0027% of the input power of the P _in signal, as shown in Figures 11(d) and 12(d). The truth table for this optical XOR logic gate is shown in Table 3, and the contrast ratio is equal to 25.03 dB.

Our “XOR” structure is compared by several structures as presented in previous studies [20], [31], [32], [33]. Table 4 shows that the proposed “XOR” logic gate has a very high contrast ratio and a smaller size than other structures.

Table 4:

Comparison table “XOR gate.”

	The operating wavelength, nm	Size of structure, μm²	CR	Response time, ps
Our work	1550	85.8	25.03	8.33
Ghadrdan and Mansouri-Birjandi [33]	1550	265	5.67	0.85
Fu et al. [31]	1550	558	20.48	–
Bahabady and Olyaee [20]	1550	252	19.95	0.466
Jianga et al. [32]	–	729	9.33	–

4.3 Results of the simulation of “XNOR”

This part describes the results obtained and the optical performance for the XNOR structure proposed. This optical gate is a very important gate for designing logic comparators, full adders, optical half adders, lattice parity checks and other logic circuits based on two-dimensional photonic crystals. The basic idea of operation for optical XNOR is based on the use of the resonant cavity with photonic crystals with a resonant wavelength of 1550 nm. This “XNOR” gate is composed of three inputs (Bias, Input 1 and Input 2) and the output (Output), as shown in the schematic block diagram of the structure proposed for the XNOR logical gate in Figures 13 and 14. To describe and realize the operation of this gate, the following scenarios can be examined:

Figure 13:

Schematic block diagram of the proposed structure for the XNOR logic gate.

Figure 14:

The final design of our proposed all-optical XNOR logic gate.

Case 1:

When “Bias” = 1, “Input 1” = “Input 2” = 0. The optical signal “P _in” at the input of “Bias” couples to the resonant cavity and flows directly to the output port “Output = 1” with an efficiency of 56% at a wavelength of λ = 1550 nm. As shown in Figures 15(a) and 16(a).

Figure 15:

Optical field distribution for different states for the proposed “XNOR” gate for:

(a) Bias = 1, Input 1 = Input 2 = 0. (b) Bias = 1, Input 1 = 0, Input 2 = 1. (c) Bias = 1, Input 1 = 1, Input 2 = 0. (d) Bias = 1, Input 1 = Input 2 = 1.

Figure 16:

Time-evolving curve of proposed “XNOR” gate for:

(a) Bias = 1, Input 1 = Input 2 = 0. (b) Bias = 1, Input 1 = 0, Input 2 = 1. (c) Bias = 1, Input 1 = 1, Input 2 = 0. (d) Bias = 1, Input 1 = Input 2 = 1.

Case 2:

At “Bias” = 1, “Input 1” = 0, “Input 2” = 1. If the two inputs “Bias” and “Input 2” are equal to “1,” the signal inputs have destructive interference resulting in an output signal “Output = 0.” In this case, the output monitor receives up to 0.003% of the signal input power, as shown in Figures 15(b) and 16(b).

Case 3:

When “Bias” = 1, “Input 1” = 1, “Input 2” = 0. The signal inputs have a destructive interference, which gives an output signal “Output = 0.” In this case, the output of the gate “Output = 0” with almost zero efficiency is about 0.002%, as shown in Figures 15(c) and 16(c).

Case 4:

At “Bias” = 1, “Input 1” = “Input 2” = 1. As shown in Figures 15(d) and 16(d), the two inputs “Input 1” and “Input 2” are coupled together and flow directly to the output by coupling with the resonant cavity with 71% efficiency and prevent destructive interference with the signal input of “Bias” (Table 5).

Table 5:

Truth table and optical power in output for all-optical “XNOR” logic gate.

Bias	Input 1	Input 2	Output logic	Contrast ratio (CR)	Response period	BIT rate
Power (W/µm²)	Power (W/µm²)	Power (W/µm²)	Power normalized	14.47 dB	8.33 ps	0.12 Tbit/s
1 (P _in)	0	0	1 (0.56 P _in)
1 (P _in)	0	1 (P _in)	0 (0.02 P _in)
1 (P _in)	1 (P _in)	0	0(0.003 P _in)
1 (P _in)	1 (P _in)	1 (P _in)	1 (0.71 P _in)

As shown in Table 6, this structure is compared by several logic gates, as presented in the studies by Moniem and Sun et al. [34], [35]. The logic gate proposed is smaller in size than the other gates and has a very high contrast ratio.

Table 6:

Comparison table “XNOR gate.”

	The operating wavelength, nm	Size of structure, μm²	CR	Response time, ps
Our work	1550	85.8	14.47	8.33
Tamer-Moniem [34]	1550	735	–	–
Sun Xiao-Wen et al. [35]	1550	625	–	–

5 Conclusions

In this paper, a novel all-optical NOT, XOR and XNOR gates based on the interference effect was proposed and demonstrated by simulation in the telecom wavelength range.

The proposed structure is ultra-compact with a surface area of 85.8 μm², characterized by low energy consumption, ease of design and simplicity of operation compared with other logic gates with complex structures and suitable for integrated all-optical circuits. For the proposed all-optical NOT, XOR and XNOR logic gates the contrast ratios are 25.08, 25.03 and 14.47 dB, respectively. The logic gates have a response time and a bit rate of, respectively, 8.33 ps and 0.12 Tbit/s. The two-dimensional finite difference time domain (2D-FDTD) method demonstrates the optical behavior of the intended structure and the dispersion diagram is extracted using the PWE method.

Corresponding author: Naoum Rafah, Telecommunication and Digital Signal Processing Laboratory, Faculty of Electrical Engineering, Department of Telecommunications, University Djillali Liabes, Sidi-Bel-Abbes 22000, Algeria, E-mail: rafah.naoum@yahoo.fr

Funding source: Direction Générale de la Recherche Scientifique et du Développement Technologique

Acknowledgment

This work was supported by the Directorate General for Scientific Research and Technological Development (DGRSDT).

Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: This work was supported by the Directorate General for Scientific Research and Technological Development (DGRSDT)
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

References

1. Haq Shaik, E, Rangaswamy, N. High contrast all-optical XOR gate with T-shaped photonic crystal waveguide using phase-based Interference. 2017 fourteenth international conference on wireless and optical communications networks (WOCN). Mumbai, India; IEEE; 2017, 1–3 p. https://doi.org/10.1109/WOCN.2017.8065849.Search in Google Scholar

2. Wabnitz, S, Eggleton, BJ. All-optical signal processing: data communication and storage applications. Cham: Springer; 2015.10.1007/978-3-319-14992-9Search in Google Scholar

3. Goodarzi, A, Ghanaatshoar, M. Coherent all-optical transistor based on frustrated total internal reflection. Sci Rep 2018;8:1–8. https://doi.org/10.1038/s41598-018-23367-6.Search in Google Scholar PubMed PubMed Central

4. Matsumoto, T, Komatsu, K, Hosoya, G, Yashima, H. Performance of all-optical AND gate using photonic-crystal QDSOA at 160 Gb/s. Electron Lett 2018;54:580–2. https://doi.org/10.1049/el.2018.0371.Search in Google Scholar

5. Almeida, LC, de Sousa, FM, de Sousa, FB, de Oliveira, JE, Kumar, S, Paschoal, W, et al. Design and performance analysis of all-optical NAND logic gate using 2-D photonic crystal. Adv Sci Eng Med 2019;11:251–4. https://doi.org/10.1166/asem.2019.2352.Search in Google Scholar

6. Haq Shaik, E, Rangaswamy, N. Multi-mode interference-based photonic crystal logic gates with simple structure and improved contrast ratio. Photonic Netw Commun 2017;34:140–8. https://doi.org/10.1007/s11107-016-0683-7.Search in Google Scholar

7. Salmanpour, A, Mohammadnejad, S, Bahrami, A. Photonic crystal logic gates: an overview. Opt Quant Electron 2015;47:2249–75. https://doi.org/10.1007/s11082-014-0102-1.Search in Google Scholar

8. Sasikala, V, Chitra, K. All-optical switching and associated technologies: a review. J Optic 2018;47:307–17. https://doi.org/10.1007/s12596-018-0452-3.Search in Google Scholar

9. Yablonovitch, E. Inhibited spontaneous emission in solid-state physics and electronics. Phys Rev Lett 1987;58:2059. https://doi.org/10.1103/physrevlett.58.2059.Search in Google Scholar PubMed

10. John, S. Strong localization of photons in certain disordered dielectric superlattices. Phys Rev Lett 1987;58:2486‏. https://doi.org/10.1103/physrevlett.58.2486.Search in Google Scholar

11. Hussein, HM, Ali, TA, Rafat, NH. A review on the techniques for building all-optical photonic crystal logic gates. Optic Laser Technol 2018;106:385–97. https://doi.org/10.1016/j.optlastec.2018.04.018.Search in Google Scholar

12. Kotb, A, Zoiros, KE, Guo, C. Ultrafast performance of all-optical AND and OR logic operations at 160 Gb/s using photonic crystal semiconductor optical amplifier. Optic Laser Technol 2019;119:105611. https://doi.org/10.1016/j.optlastec.2019.105611.Search in Google Scholar

13. Parandin, F, Karkhanehchi, MM. Low size all-optical XOR and NOT logic gates based on two-dimensional photonic crystals. Majlesi J Electr Eng 2019;13:1–5.Search in Google Scholar

14. Kumar, A, Medhekar, S. All-optical NOR and NAND gates using four circular cavities created in 2D nonlinear photonic crystal. Optic Laser Technol 2020;123:105910. https://doi.org/10.1016/j.optlastec.2019.105910.Search in Google Scholar

15. Kumar, A, Kumar, S, Raghuwanshi, SK. Implementation of XOR/XNOR and AND logic gates by using Mach–Zehnder interferometers. Optik 2014;125:5764–7. https://doi.org/10.1016/j.ijleo.2014.07.037.Search in Google Scholar

16. Swarnakar, S, Rathi, S, Kumar, S. Design of all optical XOR gate based on photonic crystal ring resonator. J Opt Commun 2019;41:51–6. https://doi.org/10.1515/joc-2017-0142.Search in Google Scholar

17. Dekkiche, L, Naoum, R, Hamam, H. A novel all optical and logic gate based on nonlinear photonic crystal. Sens Lett 2011;9:2162–4. https://doi.org/10.1166/sl.2011.1775.Search in Google Scholar

18. Kouddad, E, Naoum, R. Optimization of an all-optical photonic crystal NOT logic gate using switch based on nonlinear Kerr effect and ring resonator. Sens Lett 2020;18:89–94. https://doi.org/10.1166/sl.2020.4200.Search in Google Scholar

19. Rao, DGS, Swarnakar, S, Kumar, S. Performance analysis of all-optical NAND, NOR, and XNOR logic gates using photonic crystal waveguide for optical computing applications. Opt Eng 2020;59:057101. https://doi.org/10.1117/1.OE.59.5.057101.Search in Google Scholar

20. Mohebzadeh-Bahabady, A, Olyaee, S. All-optical NOT and XOR logic gates using photonic crystal nano-resonator and based on an interference effect. IET Optoelectron 2018;12:191–5. https://doi.org/10.1049/iet-opt.2017.0174 Search in Google Scholar

21. Parandin, F, Malmir, MR. Reconfigurable all optical half adder and optical XOR and AND logic gates based on 2D photonic crystals. Opt Quant Electron 2020;52:56. https://doi.org/10.1007/s11082-019-2167-3.Search in Google Scholar

22. Hussein, HM, Ali, TA, Rafat, NH. New designs of a complete set of photonic crystals logic gates. Optic Commun 2018;411:175–81. https://doi.org/10.1016/j.optcom.2017.11.043.Search in Google Scholar

23. Rani, P, Kalra, Y, Sinha, RK. Design of all optical logic gates in photonic crystal waveguides. Optik 2015;126:950–5. https://doi.org/10.1016/j.ijleo.2015.03.003.Search in Google Scholar

24. Rani, P, Fatima, S, Kalra, Y, Sinha, RK. Realization of all optical logic gates using universal NAND gates on photonic crystal platform. Superlattice Microst 2017;109:619–25. https://doi.org/10.1016/j.spmi.2017.05.046.Search in Google Scholar

25. Haq Shaik, E, Rangaswamy, N. Improved design of all-optical photonic crystal logic gates using T-shaped waveguide. Opt Quant Electron 2016;48:33. https://doi.org/10.1007/s11082-015-0279-y.Search in Google Scholar

26. In this paper, Fullwave commercial software developed by Rsoft Design Group (http://www.rsoftdesign.com) is used for linear and nonlinear FDTD simulations, v.2014;09, license 16849450.Search in Google Scholar

27. Singh, B, Rawal, S. Photonic-crystal-based all-optical NOT logic gate. J Opt Soc Am A 2015;32:2260. https://doi.org/10.1364/josaa.32.002260.Search in Google Scholar

28. Shaik, EH, Rangaswamy, N. Single photonic crystal structure for realization of NAND and NOR logic functions by cascading basic gates. J Comput Electron 2018;17:337–48. https://doi.org/10.1007/s10825-017-1081-9.Search in Google Scholar

29. Singh, BR, Rawal, S. Photonic-crystal-based all-optical NOT logic gate. J Opt Soc Am A 2015;32:2260–3.10.1364/JOSAA.32.002260Search in Google Scholar

30. Ghadrdan, M, Mansouri-Birjandi, MA. All-optical NOT logic gate based on photonic crystals. Int J Electr Comput Eng 2013;3:478. https://doi.org/10.11591/ijece.v3i4.2909.Search in Google Scholar

31. Fu, Y, Hu, X, Gong, Q. Silicon photonic crystal all-optical logic gates. Phys Lett A 2013;377:329–33. https://doi.org/10.1016/j.physleta.2012.11.034.Search in Google Scholar

32. Jiang, YC, Liu, SB, Zhang, HF, Kong, XK. Reconfigurable design of logic gates based on a two-dimensional photonic crystals waveguide structure. Optic Commun 2014;332:359–65. https://doi.org/10.1016/j.optcom.2014.07.038.Search in Google Scholar

33. Ghadrdan, M, Mansouri-Birjandi, MA. Concurrent implementation of all-optical half-adder and AND & XOR logic gates based on nonlinear photonic crystal. Opt Quant Electron 2013;45:1027–36. https://doi.org/10.1007/s11082-013-9713-1.Search in Google Scholar

34. Moniem, TA. All-optical XNOR gate based on 2D photonic-crystal ring resonators. Quant Electron 2017;47:169. https://doi.org/10.1070/QEL16279 Search in Google Scholar

35. Sun, X-W, Xiu-Lun, Y, Xiang-Feng, M, Zhu, J-N, Wang, Y-R, Yin, Y-K, et al. Design and analysis of logic NOR, NAND, and XNOR gates based on interference-effect. Quant Electron 2018;48:178–83. https://doi.org/10.1070/qel16452.Search in Google Scholar

Received: 2020-05-14

Accepted: 2020-09-07

Published Online: 2020-11-05

This work is licensed under the Creative Commons Attribution 4.0 International License.

Articles in the same Issue

https://doi.org/10.1515/joc-2020-0184

Keywords for this article

all-optical XNOR and NOT XOR logic gate; contrast ratio; interference effect; photonic crystal; optical integrated circuits (OIC); resonant cavities

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