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Designs of All-Optical Higher-Order Signed-Digit Adders Using Polarization-Encoded Based Terahertz-Optical-Asymmetric-Demultiplexer (TOAD)

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DOI: 10.4236/opj.2014.46012    1,971 Downloads   2,606 Views   Citations


Various designed circuits for multiple-valued all-optical arithmetic are demonstrated. The terahertz-optical-asymmetric-demultiplexer (TOAD) switch is used as the basic structure unit in the proposed circuits due to its compact size, thermal stability, and low power operation. The designs of trinary and quaternary signed-digit numbers based adders are presented using different polarized states of light. These proposed polarization-encoded based adders use much less switches and their speeds are higher than the intensity-encoded counterparts. Further, it will be shown that one of the proposed trinary signed-digit adders is twice as fast as a recently reported modified signed-digit adder.

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The authors declare no conflicts of interest.

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Hajjiah, A. , Alqallaf, A. and Cherri, A. (2014) Designs of All-Optical Higher-Order Signed-Digit Adders Using Polarization-Encoded Based Terahertz-Optical-Asymmetric-Demultiplexer (TOAD). Optics and Photonics Journal, 4, 113-128. doi: 10.4236/opj.2014.46012.


[1] Lakshmi, B. and Dhar, A.S. (2013) VLSI Architecture for Parallel Radix-4 CORDIC. Microprocessors and Microsystems, 37, 79-86.
[2] Nikmehr, H., Phillips, B. and Lim, C.C. (2010) A Novel Implementation of Radix-4 Floating-Point Division/Square-Root Using Comparison Multiples. Computers & Electrical Engineering, 36, 850-863.
[3] Ruiz, G.A. and Granda, M. (2011) Efficient Canonic Signed Digit Recoding. Microelectronics Journal, 42, 1090-1097.
[4] Jaberipur, G. and Gorgin, S. (2010) An Improved Maximally Redundant Signed Digit Adder. Computers & Electrical Engineering, 36, 491-502.
[5] Cherri, A.K. and Alam, M.S. (2000) Parallel Computation of Complex Elementary Functions Using Quaternary Signed-Digit Arithmetic. Optics & Laser Technology, 32, 391-399.
[6] Alam, M.S. (1994) Parallel Optical Computing Using Recoded Trinary Signed-Digit Numbers. Applied Optics, 33, 4392-4397.
[7] Chattopadhyay, T. (2010) All-Optical Quaternary Circuits Using Quaternary T-Gate. Optik, 121, 1784-1788.
[8] Chattopadhyay, T. (2010) All-Optical Symmetric Ternary Logic Gate. Optics & Laser Technology, 42, 1014-1021.
[9] Cherri, A.K. and Al-Zayed, A. (2010) Circuits Designs of Ultra-Fast All-Optical Modified Signed-Digit Adders Using Semiconductor Optical Amplifier and Mach-Zehnder Interferometer. Optik, 121, 1577-1585.
[10] Ghosh, A.K., Bhattacharya, A., Raul, M. and Basuray, A. (2012) Trinary Arithmetic and Logic Unit (TALU) Using Savart Plate and Spatial Light Modulator (SLM) Suitable for Optical Computation in Multivalued Logic. Optics & Laser Technology, 44, 1583-1592.
[11] Avizienis, A. (1961) Signed-Digit Number Representations for Fast Parallel Arithmetic. IRE Trans Electronic Computers, EC-10, 89-400.
[12] Hwang, K. (1979) Computer Arithmetic Principles: Architecture and Design. WILEY Publishing Co., New York.
[13] Cherri, A.K. and Khachab, N.I. (1996) Canonical Quaternary Signed-Digit Arithmetic Using Optoelectronics Symbolic Substitution. Optics & Laser Technology, 28, 397-403.
[14] Awwal, A.A.S. (1993) Recoded Signed-Digit Binary Addition-Subtraction Using Optoelectronic Symbolic Substitution. Applied Optics, 31, 3205-3208.
[15] Ha, B. and Li, Y. (1994) Parallel Modified Signed-Digit Arithmetic Using an Optoelectronic Shared Content-Addressable-Memory Processor. Applied Optics, 33, 3647-3662.
[16] Huang, H.X., Itoh, M., Yatagai, T. and Liu, L.R. (1996) Classified One-Step Modified Signed-Digit Arithmetic and Its Optical Implementation. Optics Engineering, 35, 1134-1140.
[17] Qian, F., Li, G., Ruan, H. and Liu, L. (1999) Modified Signed-Digit Addition by Using Binary Logic Operations and Its Optoelectronic Implementation. Optics & Laser Technology, 31, 403-410.
[18] Nishimura, N., Awatsuji, Y. and Kubota, T. (2004) Two-Dimensional Arrangement of Spatial Patterns Representing Numerical Data in Input Images for Effective Use of Hardware Resources in Digital Optical Computing System Based on Optical Array Logic. Journal of Parallel and Distributed Computing, 64, 1027-1040.
[19] Sokoloff, J.P., Prucnal, P.R., Glesk, I. and Kane, M. (1993) A Terahertz Optical Asymmetric Demultiplexer (TOAD). IEEE Photonics Technology Letters, 5, 787-789.
[20] Wang, B.C., Baby, V., Tong, W., Xu, L., Friedman, M., Runser, R.J., Glesk, I. and Pruncnal, P.R. (2002) A Novel Fast Optical Switch Based on Two Cascaded Terahertz Asymmetric Demultiplexers (TOAD). Optics Express, 10, 15-23.
[21] Gayen, D. and Roy, J.N. (2008) All-Optical Arithmetic Unit with the Help of Terahertz-Optical-Asymmetric-Demultiplexer-Based Tree Architecture. Applied Optics, 47, 933-943.
[22] Roy, J.N. and Gayen, D.K. (2007) Integrated All-Optical Logic and Arithmetic Operations with the Help of a TOAD Based Interferometer Device-Alternative Approach. Applied Optics, 46, 5304-5310.
[23] Cherri, A.K. (2010) Terahertz-Optical-Asymmetric-Demultiplexer (TOAD)-Based Arithmetic Units for Ultra-Fast Optical Information Processing. SPIE Proceedings, 7671.
[24] Alqallaf, A.K., Hajjiah, A.T. and Cherri, A.K. (2013) Ultra-Fast All-Optical Polarization-Encoded Modified Signed-Digit Addition Using Terahertz-Optical-Asymmetric-Demultiplexer (TOAD) Switches. Optik, 124, 4887-4891.
[25] Minh, H.L., Ghassemlooy, Z. and Ng, W.P. (2008) Characterization and Performance Analysis of a TOAD Switch Employing a Dual Control Pulse Scheme in High-Speed OTDM Demultiplexer. IEEE Communications Letters, 12, 316-318.
[26] Zoiros, K.E., Das, M.K., Gayen, D.K., Maity, H.K., Chattopadhyay, T. and Roy, J.N. (2011) All-Optical Pseudorandom Binary Sequence Generator with Toad-Based D Flip-Flops. Optics Communications, 284, 4297-4306.
[27] Gayen, D.K., Roy, J.N. and Pal, R.K. (2012) All-Optical Carry Lookahead Adder with the Help of Terahertz-Optical-Asymmetric-Demultiplexer. Optik, 123, 40-45.
[28] Chattopadhyay, T. (2012) Terahertz Optical Asymmetric Demultiplexer (TOAD) Based Half-Adder and Using It to Design All-Optical Flip-Flop. Optik, 123, 1961-1964.
[29] Wang, B.C., Baby, V., Tong, W., Xu, L., Friedman, M., Runser, R.J., Glesk, I. and Prucnal, P.R. (2002) A Novel Fast Optical Switch Based on Two Cascaded Terahertz Optical Asymmetric Demultiplexers (TOAD). Optics Express, 10, 15-23.
[30] Minh, H.L., Ghassemlooy, Z., Ng, W.P. and Ngah, R. (2004) Terahertz Optical Asymmetric Demultiplexer Switch with a Symmetrical Switching Window. Proceedings of the London Communication Symposium, University College, London, 89-92.
[31] Barman, A.D., Fresi, F., Sengupta, I.I., Potì, L. and Bogoni, A. (2009) Theoretical and Experimental Investigation of Inter-Channel Crosstalk Mitigation by Assist Light in a TOAD De-Multiplexer. Proceedings of the International Conference on Computers and Devices for Communication, (IEEE CODEC’09), Kolkata, 14-16 December 2009, 1-4.
[32] Lu, D., Jia, N., Zhong, K.P., Chen, M., Li, T.J. and Jian, S.S. (2009) Experimental and Theory Study the System Performance of TOAD Using for Demultiplexing in 160gb/S OTDM Transmission System. Proceedings of the Communications and Photonics Conference and Exhibition (ACP), Asia, Shanghai, 2-6 November 2009, 1-7.
[33] Zoiros, K.E., Kalaitzi, A. and Koukourlis, C.S. (2010) Study on the Cascadability of a SOA-Assisted Sagnac Switch Pair. Optik, 121, 1180-1193.

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