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Polarization rotation based all-optical ternary half-adder and full-adder: design and analysis using micro-ring resonator

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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.

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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).

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Correspondence to Jayanta Kumar Rakshit.

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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

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