Abstract
The reversibility protocol of the logic gate is not supported by conventional logic gates. These gates disperse energy into the environment in the form of heat energy on account of loss of data and that is why these gates are titled irreversible logic gates. The concept of reversible logic gates is evolved primarily to reduce heat dissipation, employing the advantages of the reversible gate such as a reduced unit of gates, fewer garbage outputs, small quantity of constant inputs, and lower quantum cost. The all-optical hybrid new gate (HNG) is realized using silicon micro-ring resonators. The expected operation is theoretically validated through MATLAB simulation results. Two inputs all the 16-Boolean logic functions have been realized using a single HNG. The optimized performance parameters, i.e., ‘figure of merits’ of the MRR, including radius and detuning, are calculated through numerical simulation at 260 Gb/s. The optimized parameters could help to implement this design practically. The binary decision diagram (BDD) has also been used to represent the logic functions at the respective output ports.
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References
Landauer, R.: Irreversibility and heat generation in the computing process. IBM J. Res. Dev. 5(3), 183–191 (1961)
Bennett, C.H.: Logical reversibility of computation. IBM J. Res. Dev. 17(6), 525–532 (1973)
Fredkin, E.: An informational process based on reversible universal cellular automata. Physica D 45(1–3), 254–270 (1990)
Song, X., Yang, G., Perkowski, M., Wang, Y.: Algebraic characterization of reversible logic gates. Theory. Comput. Syst. 39(2), 311–319 (2006)
Fredkin, E., Toffoli, T.: Conservative logic. Int. J. Theor. Phys. 21(3), 219–253 (1982)
Feynman, R.P.: Quantum mechanical computers. Opt. News 11(2), 11–20 (1985)
Peres, A.: Reversible logic and quantum computers. Phys. Rev. A 32(6), 3266 (1985)
Kotb, A., Zoiros, K.E., Guo, C.: All-optical XOR, NOR, and NAND logic functions with parallel semiconductor optical amplifier-based Mach-Zehnder interferometer modules. Opt. Laser. Technol. 108, 426–433 (2018)
Alquliah, A., Kotb, A., Singh, S.C., Guo, C.: All-optical AND, NOR, and XNOR logic gates using semiconductor optical amplifiers-based Mach-Zehnder interferometer followed by a delayed interferometer. Optik 225, 165901 (2021)
Houbavlis, T., Zoiros, K.E.: Numerical simulation of semiconductor optical amplifier assisted Sagnac gate and investigation of its switching characteristics. Opt. Eng. 43(7), 1622–1627 (2004)
Kotb, A., Zoiros, K.E., Guo, C.: 1 Tb/s all-optical XOR and AND gates using quantum-dot semiconductor optical amplifier-based turbo-switched Mach-Zehnder interferometer. J. Comput. Electron. 18(2), 628–639 (2019)
Fouskidis, D.E., Zoiros, K.E., Hatziefremidis, A.: "Reconfigurable all-optical logic gates (AND, NOR, NOT, OR) with quantum-dot semiconductor optical amplifier and optical filter. IEEE J. Sel. Top. Quantum. Electron. 27(2), 1–15 (2020)
Maji, K., Mukherjee, K., Raja, A.: Frequency encoded all-optical universal logic gates using terahertz optical asymmetric demultiplexer. IJPOT 4(3), 1–7 (2018)
Kumari, A., Pal, A., Singh, A., Sharma, S.: All-optical binary to gray code converter using non-linear material based MIM waveguide. Optik 200, 163449 (2020)
Siarkos, T., Zoiros, K.E., Nastou, D.: On the feasibility of full pattern-operated all-optical XOR gate with single semiconductor optical amplifier-based ultrafast nonlinear interferometer. Opt. Commun. 282(14), 2729–2740 (2009)
Rakshit, J.K., Singh, M.P., Hossain, M., Roy, J.N.: Polarization rotation based all-optical ternary half-adder and full-adder: design and analysis using micro-ring resonator. Opt. Quant. Electron. 54(2), 1–29 (2022)
Bharti, G.K., Rakshit, J.K., Singh, M.P., Yupapin, P.: Design of all-optical universal logic gates using mode-conversion in single silicon microring resonator. J. Nanophotonics 13(3), 036002 (2019)
G.K. Maity and S.P. Maity, "Implementation of HNG using MZI”, In 2012 Third International Conference on Computing, Communication and Networking Technologies (ICCCNT'12), IEEE, pp. 1–6 (2012).
Maity, G.K., Samanta, S., Mandal, A.K.: All-optical reversible hybrid new gate using TOAD. Int. J. Adv. Comput. Res 4(1), 1 (2014)
Hossain, M., Singh, M.P., Rakshit, J.K.: Modelling of silicon micro-ring resonator based all-optical precoder circuit for differential quadrature Phase-Shift Keying. SILICON 10, 5601–5615 (2021)
Singh, M.P., Rakshit, J.K., Hossain, M.: Design of polarization conversion and rotation based ternary logic AND/NAND, OR/NOR, Ex-OR/Ex-NOR gates using ring resonator. Opt. Quant. Electron. 53(12), 1–22 (2021)
Biswas, U., Rakshit, J.K., Das, J., Bharti, G.K., Suthar, B., Amphawan, A., Najjar, M.: Design of an ultra-compact and highly-sensitive temperature sensor using photonic crystal based single micro-ring resonator and cascaded micro-ring resonator. SILICON 13, 885–892 (2021)
Jadhav, N.B., et al.: Micro-ring resonator based all-optical arithmetic and logical unit. Optik 244, 167622 (2021)
Hossain, M., Zoiros, K.E., Chattopadhyay, T., Rakshit, J.K.: Speed enhancement of all-optical pseudo random binary sequence (PRBS) generator using microring resonator. Opt. Quant. Electron. 53(12), 1–31 (2021)
Bharti, G.K., Singh, M.P., Rakshit, J.K.: Design and modeling of polarization-conversion based all-optical basic logic gates in a single silicon ring resonator. SILICON 12, 1279–1288 (2020)
Bharti, G.K., Biswas, U., Rakshit, J.K.: Design of micro-ring resonator based all optical universal reconfigurable logic circuit. Optoelectron. Adv. Mater. Rapid. Commun. 13, 407–414 (2019)
Rakshit, J.K., Chattopadhyay, T., Roy, J.N.: Design of ring resonator based all optical switch for logic and arithmetic operations–a theoretical study. Optik 124(23), 6048–6057 (2013)
Bharti, G.K., Rakshit, J.K.: Micro-ring resonator based all optical reversible logic gates and its applications. Optoelectron. Adv Mater. Rapid. Commun. 13, 10–19 (2019)
Chun-Fei, L., Na, D.: Optical switching in silicon nanowaveguide ring resonators based on Kerr effect and TPA effect. Chin. Phys. Lett. 26(5), 054203 (2009)
Rakshit, J.K., Roy, J.N.: Design of all-optical universal shift register using nonlinear microring resonators. J. Comput. Electron. 15(4), 1450–1461 (2016)
Rakshit, J.K., Zoiros, K.E., Bharti, G.K.: Proposal for ultrafast all-optical pseudo random binary sequence generator using microring resonator-based switches. J. Comput. Electron. 20(1), 353–367 (2021)
Abdalhaq, B.K., Awad, A., Hawash, A.: Reversible logic synthesis using binary decision diagrams with exploiting efficient reordering operators. IEEE Access 8, 156001–156016 (2020)
K. Zoiros, K. Vlachos, T. Stathopoulos, C. Bintjas and H. Avramopoulos, 40 GHz mode-locked SOA fiber ring laser with 20 nm tuning range, In: Optical Fiber Communication Conference, Optical Society of America, p. TuR3 (2000).
Zoiros, K., Stathopoulos, T., Vlachos, K., Hatziefremidis, A., Houbavlis, T., Papakyriakopoulos, T., Avramopoulos, H.: Experimental and theoretical studies of a high repetition rate fiber laser, mode-locked by external optical modulation. Opt. Commun. 180(4–6), 301–315 (2000)
R. Cunha, H. Boudinov and L. Carro, "Quaternary look-up tables using voltage-mode CMOS logic design", In: 37th International Symposium on Multiple-Valued Logic (ISMVL'07), IEEE, pp. 56–56 (2007).
Bharti, G.K., Rakshit, J.K.: Design of all-optical JK, SR and T flip-flops using micro-ring resonator-based optical switch. Photon. Netw. Commun. 35(3), 381–391 (2018)
Taraphdar, C., Chattopadhyay, T., Roy, J.N.: Mach–Zehnder interferometer-based all-optical reversible logic gate. Opt. Laser. Technol. 42(2), 249–259 (2010)
Zoiros, K.E., Papadopoulos, G., Houbavlis, T., Kanellos, G.T.: Theoretical analysis and performance investigation of ultrafast all-optical Boolean XOR gate with semiconductor optical amplifier-assisted Sagnac interferometer. Opt. Commun. 258(2), 114–134 (2006)
Saeung, P., Yupapin, P.P.: Generalized analysis of multiple ring resonator filters: modeling by using graphical approach. Opt 119(10), 465–472 (2008)
Kurtz, F., Ropers, C., Herink, G.: Resonant excitation and all-optical switching of femtosecond soliton molecules. Nat. Photon. 14(1), 9–13 (2020)
Lin, Y.C., Mao, M.H., Lin, Y.R., Lin, H.H., Lin, C.A., Wang, L.A.: All-optical switching in GaAs microdisk resonators by a femtosecond pump–probe technique through tapered-fiber coupling. Opt. Lett. 39(17), 4998–5001 (2014)
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Rakshit, J.K., Hossain, M. Design and analysis of an efficient reversible hybrid new gate using silicon micro-ring resonator-based all-optical switch. Photon Netw Commun 44, 116–132 (2022). https://doi.org/10.1007/s11107-022-00985-9
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DOI: https://doi.org/10.1007/s11107-022-00985-9