Quaternary Galois field adder based all-optical multivalued logic circuits

Applied Optics

Volumn 48, Issue 22, 2009, Pages E35-E44

  Chattopadhyay, Tanay ^a,b   Taraphdar, Chinmoy ^c   Nath Roy, Jitendra ^a  

^a PO: KTPP Township   (India)

^b Bankura Christian College ^*

^c BANKURA CHRISTIAN COLLEGE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ADDERS; LOGIC CIRCUITS; MANY VALUED LOGICS; TIMING CIRCUITS;

ADDER CIRCUIT; ALGEBRAIC EXPRESSION; GALOIS FIELDS; INTERFEROMETRIC SWITCHES; LOGICAL STATE; MULTI-VALUED; TERAHERTZ OPTICAL ASYMMETRIC DEMULTIPLEXERS; THEORETICAL MODELING;

COMPUTER CIRCUITS;

EID: 68749086091     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.48.000E35     Document Type: Article

References (36)

1. K. C. Smith, “The prospects for multivalued logic: a technology and applications view,” IEEE Trans. Comput. C-30, 1160-1179 (1984).
2. Y. Yasuda, Y. Tokuda, S. Zaima, K. Pak, T. Nakamura, and A. Yoshida, “Realization of quaternary logic circuits by n-channel MOS devices,” IEEE J. Solid-State Circuits SSC-21, 162-168 (1986)
3. A. A. S. Awwal, M. A. Karim, and A. K. Cherri, “Polarization-encoded optical shadow-casting scheme: design of multioutput trinary combinational logic units,” Appl. Opt. 26, 4814-4818 (1987)
4. S. Liu, C. Li, J. Wu, and Y. Lin, “Optoelectronic multiplevalued logic implementation,” Opt. Lett. 14, 713-715 (1989).
5. J. Yi, H. He, and Y. Lu, “Ternary optical computer architecture,” Phys. Scr. T118, 98-101 (2005).
6. C. S. Vikram and H. J. Caulfield, “Position-sensing detector for logical operations using incoherent light,” Opt. Eng. 44, 115-201 (2005).
7. T. Chattopadhyay and J. N. Roy, “Polarization encoded all-optical quaternary multiplexer and demultiplexer -a proposal,” Optik (Jena), doi:10.1016/j.ijleo.2008.03.030 [In press].
8. T. Chattopadhyay and J. N. Roy, “All-optical conversion scheme: binary to quaternary and quaternary to binary number,” Opt. Laser Technol. 41, 289-294 (2009).
9. T. Chattopadhyay and J. N. Roy, “Polarization encoded TOAD based all-optical quaternary Literals,” Optik (Jena) [doi: 10.1016/j.ijleo.2008.09.014]
10. J. N. Roy and D. K. Gayen, “Integrated all-optical logic and arithmetic operations with the help of a TOAD-based interferometer device—alternative approach,” Appl. Opt. 46, 5304-5310 (2007).
11. M. H. A. Khan and M. A. Perkowski, “GF(4) based synthesis of quaternary reversible/quantum logic circuits,” in Proceedings of the International Symposia on Multiple-Valued Logic (IEEE Computer Society, 2007).
12. N. A. Khader and P. Siy, “Inversion/division in Galois field using multiple-valued logic,” in Proceedings of the International Symposia on Multiple-Valued Logic (IEEE Computer Society, 2007)
13. M. H. A. Khan, N. K. Siddika, and M. A. Perkowski, “Minimization of quaternary Galois field sum of products expression for multi-output quaternary logic function using quaternary Galois field decision diagram,” in Proceedings of the International Symposia on Multiple-Valued Logic (IEEE Computer Society, 2008), pp. 125-130.
14. J. P. Sokoloff, P. R. Prucnal, I. Glesk, and M. Kane, “A terahertz optical asymmetric demultiplexer (TOAD),” IEEE Photon. Technol. Lett. 5, 787-790 (1993).
15. M. Eiselt, W. Pieper, and H. G. Weber, “SLALOM: semiconductor laser amplifier in a loop mirror,” J. Lightwave Technol. 13, 2099-2112 (1995).
16. B. C. Wang, V. Baby, W. Tong, L. Xu, M. Friedman, R. J. Runser, I. Glesk, and P. R. Prucnal, “A novel fast optical switch based on two cascaded terahertz optical asymmetric demultiplexers (TOAD),” Opt. Express 10, 15-23 (2002).
17. Y. K. Huang, I. Glesk, R. Shankar, and P. R. Prucnal, “Simultaneous all-optical 3R regeneration scheme with improved scalability using TOAD,” Opt. Express 14, 10339-10344 (2006).
18. Y. J. Jung, S. Lee, and N. Park, “All-optical 4-bit gray code to binary coded decimal converter,” Proc. of SPIE 6890, 68900S (2008).
19. Z. Y. Shen and L. L. Wu, “Reconfigurable optical logic unit with a terahertz optical asymmetric demultiplexer and electro-optic switches,” Appl. Opt. 47, 3737-3742 (2008).
20. D. K. Gayen and J. N. Roy, “All-optical arithmetic unit with the help ofterahertz optical asymmetric demultiplexer-based tree architecture,” Appl. Opt. 47, 933-943 (2008).
21. n radix based form,” Chin. Opt. Lett. 6, 536-540 (2008).
22. T. Yang, C. Shu, and C. Lin, “Depolarization technique for wavelength conversion using four-wave mixing in a dispersion-flattened photonic crystal fiber,” Opt. Express 13, 5409-5415 (2005).
23. T. Chattopadhyay and J. N. Roy, “An all-optical technique for a binary-to-quaternary encoder and a quaternary-to-binary decoder,” J. Opt. A 11, 075501(2009).
24. T. Houbavlis and K. E. Zoiros, “Numerical simulation of semiconductor optical amplifier assisted Sagnac gate and investigation of its switching characteristics,” Opt. Eng. 43, 1622-1627 (2004).
25. K. E. Zoiros, R. Chasioti, C. S. Koukourlis, and T. Houbavlis, “On the output characteristics of a semiconductor optical amplifier driven by an ultrafast optical time division multiplexing pulse train,” Optik (Jena) 118, 134-146 (2007).
26. K. E. Zoiros, T. Houbavlis, and M. Kalyvas, “Ultra-high speed all-optical shift registers and their applications in OTDM networks,” Opt. Quantum Electron. 36 (11), 1005-1053 (2004).
27. K. E. Zoiros, G. Papadopopoulos, T. Houbavlis, and G. T. Kanellos, “Theoretical analysis and performance investigation of ultrafast all-optical Boolean xor gate with semiconductor optical amplifier-assisted Sagnac interferometer,” Opt. Commun. 258, 114-134 (2006).
28. W. Li, M. Zhang, and P. Ye, “Simulation of an all-optical XOR gate with a semiconductor optical amplifier Mach-Zehnder interferometer sped up by a continuous-wave assistant light,” J. Opt. Networking 4, 524-530 (2005).
29. G. P. Agrawal, Applications of Nonlinear Fibre Optics (Academic, India [an imprint of Elsevier, 2001]).
30. A. Mecozzi and M. Shtaif, “The statistics of polarization dependent loss in optical communication systems,” IEEE Photon. Technol. Lett. 14, 313-315 (2002).
31. S. Yamashita and K. Hotate, “Polarization-independent depolarizers for highly coherent light using Faraday rotator mirrors,” J. Lightwave Technol. 15, 900-905 (1997).
32. L. E. Nelson, T. N. Nielson, and H. Kogelnik, “Observation of PMD-induced coherent crosstalk in polarization-multiplexed transmission,” IEEE Photon. Techol. Lett. 13, 738-740 (2001).
33. J. M. Tang and K. A. Shore, “Strong picosecond optical pulse propagating in semiconductor optical amplifiers at transparency,” IEEE J. Quantum Electron. 34, 1263-1269 (1998).
34. T. Houbavlis and K. E. Zoiros, “SOA-assisted Sagnac switch and investigation of its roadmap from 10 to 40 GHz,” Opt. Quantum Electron. 35, 1175-1203 (2003).
35. T. Houbavlis and K. E. Zoiros, “Ultrafast pattern-operated all-optical Boolean XOR with semiconductor optical amplifier-assisted Sagnac switch,” Opt. Eng. 42, 3415-3416 (2003).
36. S. M. Reddy, “Easily testable realization for logic functions,” IEEE Trans. Comput. C-21, 1183-1188 (1972).