Polarization encoded four valued ordinary inverter Tanay Chattopadhyay and Jitendra Nath Roy Department of Physics, National Institute of Technology, Agartala, 799055, Tripura, India

Multi-valued logic Multi-valued logic (MVL) is a non binary logic with radix >2. Binary logic is limited to only two states ‘True’ and ‘False’, MVL replaces these with finite and infinite number of values. A MVL system is defined as system operating on higher radix than two. As an example quaternary logic has four logical states {0, 1, 2, 3}.

Quaternary Inverter An arithmetical approach to inverters in an m-valued logic in the literature is provided by the formula: x = (m-1)-y where y is the 'original' value and x is the 'inverted' value of y. Inputs

Outputs

0

3

1

2

2

1

3

0

Numerical simulation and results Simulation is done for input bit pattern “0123 0123” and the corresponding output bit pattern is “3210 3210” and the data rate is 10.53 Gb/s. Here we use parameter for MQW-SLA (Injection current of SOA = 300 mA, unsaturated single-pass amplifier gain = 29.6dB, line-width enhancement factor of SOA = 4, gain recovery time = 95 ps, saturation energy of the SOA = 2084 fJ, eccentricity of the loop of TOAD = 30ps, Control pulse energy = 708.56 fJ, full width at half maximum of Gaussian control pulse = 2 ps and Incoming pulse energy = 6.25 fJ)

All-optical interferometric switch (TOAD) Terahertz Optical Asymmetric Demultiplexer (TOAD) based gate consists of a loop mirror with an additional, intra-loop 2×2 (ideally 50:50) coupler). The loop contains a control pulse (CP) of other wavelength of light than the incoming pulse and a semiconductor optical amplifier (SOA) that is offset from the loop’s midpoint by a distance ∆x From the simulated waveform we get insertion loss dB, dB, dB and dB. The output contrast ratio (C.R.) as the minimum peak power when the pulse of the payload is high (1, 2 or 3) and we found maximum contrast ratio (C.R.) = 10.92 dB. The calculated Q-Value is 3.82 dB.

References

Application of MVL?

1. Absence of control signal, the incoming pulse exits through input port of TOAD and reaches to the output port-2. In this case no light is present in the output port-1. 2. But in the presence of control signal, the incoming signal exits through output port of TOAD and reaches to the output port-1. In this case no light is present in the output port-2. 3. In the absence of incoming signal, port-1 and port-2 receives no light as the band pass filter (BPF) blocks the control signal.

All-optical quaternary inverter circuit

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1. S.L.Hurst, “Multiple-Valued Logic—Its Status and its Future”, IEEE Transactions on computers, C-33 (12), 1160-1179, (1984). 2. T.Chattopadhyay, J.N.Roy and A.K.Chakraborty, “Polarization encoded all-optical quaternary R-S flip-flop using binary latch”, Optics Communications, 282,1287-1293 (2009). 3. T.Chattopadhyay, C.Taraphdar and J.N.Roy, “Quaternary Galois field adder based all-optical multivalued logic circuits”, Applied Optics, (feature issue on ‘optical high-performance computing’), 48(22), (2009), E35-E44. 4. T.Chattopadhyay and J.N.Roy, “All-optical conversion scheme: binary to quaternary and quaternary to binary number”, Optics & Laser Technology, 41(3), 289-294, (2009). 5. T.Chattopadhyay and J.N.Roy, “An all-optical technique for a binary-toquaternary encoder and a quaternary-to-binary decoder”, J.Opt.A: Pure Appl. Opt., 11 (2009) 075501 (8pp). 6. T.Chattopadhyay and J.N.Roy, Polarization encoded TOAD based alloptical quaternary Literals, Optik International Journal for Light and Electron Optics, 121, (2010), 617-622. 7. T.Chattopadhyay and J.N.Roy, “Polarization Encoded All-optical Quaternary Universal Inverter and Designing of Multi-valued Flip-flop”, Optical Engineering, 49(3), 035201 (2010), doi: 10.1117/1.3362897. 8. T.Chattopadhyay and J.N.Roy, “All-optical quaternary Galois field sum of product (GFSOP) circuits”, Optik International Journal for Light and Electron Optics, 122(9), (2011), 758-763. 9. T.Chattopadhyay, M.K.Das, J.N.Roy, A.K.Chakraborty and D.K.Gayen, “Interferometric switch based all optical scheme for Conversion of Binary number to its Quaternary Signed Digit form”, IET Circuits, Devices and system, (special issue on ‘Optical Computing Circuits, Devices and Systems’), 5(2), (2011), 132-142. 10. T.Chattopadhyay and J.N.Roy, “Polarization encoded all-optical quaternary successor with the help of SOA assisted Sagnac switch”, Optics communication, 284(12), (2011), 2755-2762. 11. T.Chattopadhyay and J.N.Roy, “Semiconductor optical amplifier (SOA)-assisted Sagnac switch for designing of all-optical tri-state logic gates”, Optik International Journal for Light and Electron Optics, 122(12), 2011, 1073-1078. 12. J.P.Sokoloff, P.R.Prucnal , I..Glesk and M.Kane, “A terahertz optical asymmetric demultiplexer (TOAD)”, IEEE Photon. Technol. Lett., 5(7), 787-790, (1993).

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