Abstract
The feasibility of implementing all-optical ternary half-adder and full-adder logic circuits are designed and implemented using the concept of polarization rotation of light in waveguide coupled micro-ring resonator (MRR). The ternary logic states i.e 0, 1, 2 of the proposed model are expressed by three different polarization states of light such as horizontal polarization, linear polarization at 45° and vertical polarization states of light respectively. The simulations results of polarization rotation based ternary half-adder is accomplished using pump probe configuration in a two identical MRR. All optical full-adder has been designed using two successive half-adder and followed by the OR-logic gate function. All-optical ultrafast switching technology has been employed to design ternary half adder and full adder that produces desired output states such as logic high, low and intermediate state according to the truth table of the respective adders. The optical implementation of adder circuit has potential application in realization of ternary arithmetic operations as the depletion of signal intensity in polarization based all-optical switch is lesser then intensity-based optical switch. Obtained results are evaluated by Jones matrix in terms of the Azimuth angle and Ellipticity angle and by Stokes parameter in terms of (S0, S1, S2, S3) using INTERCONNECT simulation software.
Similar content being viewed by others
Availability of data and materials
Not applicable.
Code availability
Not applicable.
References
Abdeldayem, H., Frazier, D.O.: Optical computing: need and challenge. Commun. ACM 50(9), 60–62 (2007)
Athale, R., Psaltis, D.: Optical computing: past and future. Opt. Photonics News 27(6), 32–39 (2016)
Awwal, A.A.S., Islam, M.N., Karim, M.A.: Modified signed-digit trinary arithmetic by using optical symbolic substitution. Appl. Opt. 31(11), 1687–1694 (1994)
Bharti, G.K., Rakshit, J.K.: Design of all-optical logical mode-switching using micro-ring resonator. Opt. Eng. 60(3), 035103 (2021)
Bharti, G.K., 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 microring resonator. J Nanophoton 13(3), 036002 (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 13, 1–10 (2019)
Brodsky, M.H.: Progress in gallium arsenide semiconductors. Sci. Am. 262(2), 68–75 (1990)
Chattopadhyay, T., Roy, J.N.: All-optical ordinary quaternary inverter (QNOT) using binary NOT gate. Optik-Int J Light Electron Opt. 124(8), 667–674 (2013a)
Chattopadhyay, T., Roy, J.N.: All-optical quaternary computing and information processing a promising path. J. Opt. 42(3), 228–238 (2013b)
Chattopadhyay, T., Roy, J.N.: Polarization-encoded all-optical quaternary universal inverter and design of multivalued flip-flop. Opt Eng 49(3), 035201 (2010)
Chattopadhyay, T., Roy, J.N., Chakraborty, A.K.: Polarization encoded all-optical quaternary R-S flip-flop using binary latch. Opt. Commun. 282(7), 1287–1293 (2009a)
Chattopadhyay, T., Taraphdar, C., Roy, J.N.: Quaternary Galois field adder based all-optical multivalued logic circuits. Appl. Opt. 48(22), E35–E44 (2009b)
Chattopadhyay, T.: All-optical cross-bar network architecture using TOAD based interferometric switch and designing of reconfigurable logic unit. Opt. Fiber Technol. 17(6), 558–567 (2011)
Chattopadhyay, T.: All-optical quaternary circuits using quaternary T-gate. Optik 121(19), 1784–1788 (2010)
Cherri, A.K., Habib, M.K., Alam, M.S.: Optoelectronic recoded and nonrecoded trinary signed-digit adder that uses optical correlation. Appl. Opt. 37(11), 2153–2163 (1998)
Cotter, D., Manning, R.J., Blow, K.J., Ellis, A.D., Kelly, A.E., Nesset, D., Phillips, I.D., Poustie, A.J., Rogers, D.C.: Nonlinear optics for high-speed digital information processing. Science 286(5444), 1523–1528 (1999)
Foster, J.E., Swartz, J.M.: Electrical characteristics of the silicon nitride-gallium arsenide interface. J. Electrochem. Soc. 117(11), 1410–1417 (1970)
Ha, B., Li, Y.: Parallel modified signed-digit arithmetic using an optoelectronic shared content-addressable-memory processor. Appl. Opt. 33(17), 3647–3662 (1994)
Kamali, S.F., Tabrizchi, S., Mohammadyan, S., Rastgoo, M., Navi, K.: Designing positive, negative and standard gates for ternary logics using quantum dot cellular automata. Comput Electric Eng 83, 106590 (2020)
Kumar, S., Bisht, A., Singh, G., Choudhary, K., Raina, K.K., Amphawan, A.: Design of 1-bit and 2-bit magnitude comparators using electro-optic effect in Mach–Zehnder interferometers. Opt. Commun. 357, 127–147 (2015)
Kumar, S., Pauria, I.B., Singhal, A.: Optical fiber communication system performance using MZI switching. Int. J. Soft Comput. Eng. 2(3), 98–107 (2012)
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)
Lumerical INTERCONNECTS Solutions [Online] https://www.lumerical.com/products/interconnect/
Maity, G.K., Mandal, A.K., Samanta, S.: The all optical new universal gate using TOAD. Int J Adv Comput Res. 4(2), 432–441 (2014)
Mandal, S., Maity, G.K., Bhattacharya, A., TaslimArif, K.A.: March. All-optical quaternary MIN gate and quaternary delta literals using MZI. In: 2017 International Conference on Inventive Communication and Computational Technologies (ICICCT), pp. 313–317. IEEE (2017)
Mandal, S., Mandal, D., Mandal, M.K., Garai, S.K.: Design of optical quaternary adder and subtractor using polarization switching. J. Opt. 47(3), 332–350 (2018)
Rakshit, J.K., Roy, J.N.: All-optical ultrafast switching in a silicon microring resonator and its application to design multiplexer/demultiplexer, adder/subtractor and comparator circuit. Opt. Appl. 46(4), 517–539 (2016)
Rakshit, J.K., Roy, J.N.: Silicon micro-ring resonator-based all-optical digital-to-analog converter. Photon. Netw. Commun. 34(1), 84–92 (2017)
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)
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 it’s applications. J. Opt. 44(4), 322–329 (2015)
Singh, K., Kaur, G.: Interferometric architectures based all-optical logic design methods and their implementations. Opt. Laser Technol. 69, 122–132 (2015)
Singh, M.P., Hossain, M., Rakshit, J.K., Bharti, G.K., Roy, J.N.: Proposal for polarization rotation-based ultrafast all optical switch in ring resonator. Braz J Phys 51, 1763–1774 (2021)
Sokoloff, J.P., Glesk, I., Prucnal, P.R., Boncek, R.K.: Performance of a 50 Gbit/s optical time domain multiplexed system using a terahertz optical asymmetric demultiplexer. IEEE Photonics Technol. Lett. 6(1), 98–100 (1994)
Tian, Y., Yang, L., Zhang, L., Ji, R., Ding, J., Zhou, P., Zhu, W., Lu, Y.: Directed optical half-adder based on two cascaded microring resonators. IEEE Photonics Technol. Lett. 24(8), 643–645 (2012)
Wen, Y.H., Kuzucu, O., Hou, T., Lipson, M., Gaeta, A.L.: All-optical switching of a single resonance in silicon ring resonators. Opt. Lett. 36(8), 1413–1415 (2011)
Xu, Q., Wang, X., Xu, C.: Design and implementation of the modified signed digit multiplication routine on a ternary optical computer. Appl. Opt. 56(16), 4661–4669 (2017)
Funding
This 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 Science and Engineering Research Board (SERB) of DST, Govt. of India (Ref. No.: EMR/2017/001324).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors have declared no conflict of interest.
Ethical 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.
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
Rakshit, J.K., Singh, M.P., Hossain, M. et al. Polarization rotation based all-optical ternary half-adder and full-adder: design and analysis using micro-ring resonator. Opt Quant Electron 54, 128 (2022). https://doi.org/10.1007/s11082-022-03510-4
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-022-03510-4