Abstract
The present work describes the polarization conversion and rotation based all-optical ternary logic AND/NAND, OR/NOR and Ex-OR/Ex-NOR gates using pump-probe configuration in a single micro-ring resonator. The ternary logic (0, 1, 2) states of the proposed model are represented by three different polarization states of light such as horizontal polarization, linear polarization at 45° and vertical polarization states of light. We develop a new polarization conversion and rotation technique using micro-ring resonator based all-optical switch that produces desired output states such as logic high, low and intermediate state according to the truth table of the respective gates. The performances of the different logic gates are analyzed by Jones matrix in terms of the Azimuth angle and Ellipticity angle and by Stokes parameter in terms of S1, S2, S3 using INTERCONNECT simulation software. These ternary logic gates emerge as a promising paradigm with the applications in low power photonics, quantum computing, optical computing and nanotechnology.
Similar content being viewed by others
References
Alam, M.S.: Parallel optical computing using recoded trinary signed-digit numbers. Appl. Opt. 33(20), 4392–4397 (1994)
Awwal, A.A.S., Karim, M.A., Cherri, A.K.: Polarization-encoded optical shadow-casting scheme: design of multioutput trinary combinational logic units. Appl. Opt. 26(22), 4814–4818 (1987)
Awwal, A.A.S., Islam, M.N., Karim, M.A.: Modified signed-digit trinary arithmetic by using symbolic substitution. Appl. Opt. 31(11), 1687–1694 (1994)
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)
Bharti, G.K., Rakshit, J.K., Pal, S.S.: Design and modeling of mode-conversion in ring resonator and its application in all-optical switching. Microsyst. Technol. 25(1), 295–306 (2019)
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, 1278–1288 (2020)
Bharti, G.K. and Rakshit, J.K.: Design of all-optical logical mode-switching using micro-ring resonator. Opt. Eng. 60(3), 035103 (2021)
Bharti, G.K. and Sonkar, R.K.: Implementation of polarization rotation using microring resonator and its application to design all-optical switch. Opt. Eng. 60(8), 085109 (2021)
Bharti, G.K., Rakshit, J.K., Singh, M.P., Yupapin, P.: Design of all-optical universal logic gates using mode-conversion in single silicon micro-ring resonator. J. Nanophoton. 13(3), 036002 (2019)
Chattopadhyay, T.: All-optical symmetric ternary logic gate. Opt. Laser Technol. 42(6), 1014–1021 (2010)
Chattopadhyay, T. and Roy, J.N.: All-optical multi-valued computing: the future challenges and opportunities. In: International conference on convergence of optics and electronics (COE 11), pp. 26–27 (2011)
Chattopadhyay, T., Gayen, D.K.: Simultaneous all-optical multi logic operation using 3× 3 interconnecting switches. Opt. Fiber Technol. 51, 41–47 (2019)
Chattopadhyay, T., Taraphdar, C., Roy, J.N.: Quaternary Galois field adder based all-optical multivalued logic circuits. Appl. Opt. 48(22), E36–E44 (2009)
Cherri, A.K., Habib, M.K., Alam, M.S.: Optoelectronic recoded and non recoded trinary signed-digit adder that uses optical correlation. Appl. Opt. 37(11), 2153–2163 (1998)
Ding, Y., Ou, H., Xu, J., Xiong, M., An, Y., Hu, H. et al.: Linear all-optical signal processing using silicon micro-ring resonators. Front. Optoelectron. 9(3), 362–376 (2016)
Guchhait, A., Pahari, N., Manik, N.B.: All-optical decimal to ternary converter with the proper use of optical non-linear material. J. Opt. 49(1), 59–68 (2011)
Ha, B., Li, Y.: Parallel modified signed-digit arithmetic using an optoelectronic shared content-addressable-memory processor. Appl. Opt. 33(17), 3647–3662 (1994)
Huang, M., Wang, X., Zhao, G., Coquet, P., Tay, B.: Design and implementation of ternary logic integrated circuits by using novel two-dimensional materials. Appl. Sci. 9(20), 4212 (2019)
Karmakar, S., Chandy, J.A. and Jain, F.C.: Design of ternary logic combinational circuits based on quantum dot gate FETs. IEEE Trans. Very Large Scale Integr. (VLSI) Syst. 21(5), 793–806 (2012)
Kumar, A., Raghuwanshi, S.K.: Implementation of some high speed combinational and sequential logic gates using micro-ring resonator. Optik 127(20), 8751–8759 (2016)
Laleh, M.S., Razaghi, M.: Simulation of reconfigurable double-input optical gates based on microring flower-like structure. Appl. Opt. 59(15), 4589–4598 (2020)
Li, J., Li, L., Jin, L., Li, C.: All-optical switch and limiter based on nonlinear polarization in Mach-Zehnder interferometer coupled with a polarization-maintaining fiber-ring resonator. Opt. Commun. 260(1), 318–323 (2006)
Liu, S., Li, C., Wu, J., Liu, Y.: Optoelectronic multiple-valued logic implementation. Opt. Lett. 14(14), 713–715 (1989)
Maity, G.K., Chattopadhyay, T., Gayen, D.K., Taraphdar, C., Maiti, A.K., Roy, S.P., Roy, J.N.: All-optical binary flip-flop with the help of terahertz optical asymmetric demultiplexer. Nat. Comput. 9(4), 903–916 (2009)
Maity, G.K., Mandal, A.K. and Samanta, S.: The all-optical new universal gate using TOAD. Int. J. Adv. Comput. Res. 4(2), 432 (2014)
Maji, K., Mukherjee, K., Raja, A.: Frequency encoded all optical tri-state logic gates NOT and NAND using semiconductor optical amplifier based interferometric switches. Nanosci. Nanotechnol. Asia 10(4), 369–380 (2020)
Moradi, M., Danaie, M., Orouji, A.A.: Design of all-optical XOR and XNOR logic gates based on Fano resonance in plasmonic ring resonators. Opt. Quant. Electron. 51(5), 1–18 (2019)
Mukhopadhyay, S., Basuray, A., Datta, A.K.: New coding scheme for addition and subtraction using the modified signed digit number representation in optical computation. Appl. Opt. 27(8), 1375–1376 (1988)
Pashamehr, A., Zavvariand, M., Alipour-Banaei, H.: All-optical AND/OR/NOT logic gates based on photonic crystal ring resonators. Front. Optoelectron. 9(4), 578–584 (2016)
Raja, K.M. and Roy, J.N.: Analysis of new all optical polarization-encoded dual SOA-based ternary NOT and XOR gate with simulation. Photon. Netw. Commun. 41(3), 242–251 (2021)
Raja, A., Mukherjee, K. and Roy, J.N.: Analysis of new all optical polarization-encoded dual SOA-based ternary NOT and XOR gate with simulation. Photon. Netw. Commun. 41(3), 242–251 (2021)
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)
Rizou, Z.V., Zoiros, K.E.: Performance analysis and improvement of semiconductor optical amplifier direct modulation with assistance of microring resonator notch filter. Opt. Quant. Electron. 49(3), 119 (2017)
Roy, J.N., Bhowmik, P., Chattopadhyay, T.: Design of all-optical ternary logic-based half adder circuit and its applications. J. Opt. 44(4), 322–329 (2015)
Sethi, P., Roy, S.: Ultrafast all-optical flip-flops, simultaneous comparator-decoder and reconfigurable logic unit with silicon microring resonator switches. IEEE J. Sel. Top. Quantum Electron. 20(4), 118–125 (2013)
Sethi, P., Roy, S.: All-optical ultrafast switching in 2× 2 silicon microring resonators and its application to reconfigurable DEMUX/MUX and reversible logic gates. J. Lightwave Technol. 32(12), 2173–2180 (2014)
Singh, M.P., Hossain, M., Rakshit, J.K., Bharti, G.K. and Roy, J.N.: Proposal for polarization rotation–based ultrafast all optical switch in ring resonator. Braz. J. Phys., pp. 1–12 (2021)
Soto, H., Topomondzo, J.D., Erasme, D., Castro, M.: All-optical NOR gates with two and three input logic signals based on cross-polarization modulation in a semiconductor optical amplifier. Opt. Commun. 218(4–6), 243–247 (2003)
Taraphdar, C., Chattopadhyay, T., Roy, J.N.: Designing of an all-optical scheme for single input ternary logical operations. Optik 122(1), 33–36 (2011)
Yan, J., Jin, Y., Zuo, K.: Decrease-radix design principle for carrying/borrowing free multi-valued and application in the ternary optical computer. Sci. China Ser. F Inf. Sci. 51(10), 1415–1426 (2008)
Acknowledgements
This research work is supported by the project entitled “Polarization conversion and rotation using micro-ring resonator and its application to design binary and multi-valued logic circuits in optical domain” under the Science and Engineering Research Board (SERB) of DST, Govt. of India (Ref. No.: EMR/2017/001324).
Funding
This research work is supported by the project entitled “Polarization conversion and rotation using micro-ring resonator and its application to design binary and multi-valued logic circuits in optical domain” under the Science and Engineering Research Board (SERB) of DST, Govt. of India (Ref. No.: EMR/2017/001324).
Author information
Authors and Affiliations
Contributions
MPS—Methodology, Implementation, Simulation and Writing original draft preparation. MH—Simulation, Reviewing and editing the draft manuscript. JKR—Conceptualization, supervision, Reviewing and editing the draft manuscript.
Corresponding author
Ethics declarations
Ethics approval
This article does not contain any studies with human participants or animals performed by any of the authors.
Consent to participate
All authors are agreed and gave their consent to participate in this research work.
Consent for publication
All authors are agreed and gave their consent for the publication of this research paper.
Conflict of interest
The authors declared that they have no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
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, 703 (2021). https://doi.org/10.1007/s11082-021-03357-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-021-03357-1