OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 29, Iss. 10 — Oct. 1, 2012
  • pp: 2852–2860

Polarization encoded optical N -valued inverter

Tanay Chattopadhyay, Panchatapa Bhowmik, and Jitendra Nath Roy  »View Author Affiliations

JOSA B, Vol. 29, Issue 10, pp. 2852-2860 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (527 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An inverter, in wider sense, may be defined as a transformation of an incoming state into an outgoing state in a logic-based information processing system. In this paper, a simple circuit for inverters two-valued (binary), three-valued (ternary), and four-valued (quaternary) logical systems has been designed. An outline has been given for designing of all possible 27 three-valued inverters. The circuit is designed with the help of a polarization converter and a polarization isolator only. Mathematical analysis of the polarization converters is established with Jones matrix. This circuit will be useful in a future all-optical multivalued logic-based information processing system.

© 2012 Optical Society of America

OCIS Codes
(200.3050) Optics in computing : Information processing
(200.4740) Optics in computing : Optical processing

ToC Category:
Optics in Computing

Original Manuscript: May 8, 2012
Revised Manuscript: July 25, 2012
Manuscript Accepted: August 15, 2012
Published: September 21, 2012

Tanay Chattopadhyay, Panchatapa Bhowmik, and Jitendra Nath Roy, "Polarization encoded optical N-valued inverter," J. Opt. Soc. Am. B 29, 2852-2860 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. J. Caulfield and S. Dolev, “Why future supercomputing requires optics,” Nat. Photonics 4, 261–263 (2010). [CrossRef]
  2. M. Kohnen, M. Succo, P. G. Petrov, R. A. Nyman, M. Trupke, and E. A. Hinds, “An array of integrated atom–photon junctions,” Nat. Photonics 5, 35–38 (2011). [CrossRef]
  3. M. Khorasaninejad and S. S. Saini, “All optical logic gates using nonlinear effects in silicon-on- insulator waveguides,” Appl. Opt. 48, F31–F36 (2009). [CrossRef]
  4. D. Bickson, T. Reinman, D. Dolev, and B. Pinkas, “Peer-to-Peer secure multi-party numerical computation facing malicious adversaries,” Peer-to-Peer Networking Appl. 3, 129–144 (2010). [CrossRef]
  5. C. R. Cole, “100  Gb/s and beyond transceiver technologies,” Opt. Fiber Technol. 17, 472–479 (2011). [CrossRef]
  6. T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Quantum computing using linear optics,” Johns Hopkins APL Tech. Dig. 25, 84–90 (2004).
  7. J. Hardy and J. Shamir, “Optics inspired logic architecture,” Opt. Express 15, 150–165 (2007). [CrossRef]
  8. H. J. Cauilfield, R. A. Soref, L. Qian, A. Zavalin, and J. Hardy, “Generalized optical logic elements—GOLEs,” Opt. Commun. 271, 365–376 (2007). [CrossRef]
  9. Y. Tian, L. Zhang, R. Ji, L. Yang, and Q. Xu, “Demonstration of a directed optical encoder using microring-resonator-based optical switches,” Opt. Lett. 36, 3795–3797 (2011). [CrossRef]
  10. Y. Tian, L. Zhang, R. Ji, L. Yang, P. Zhou, J. Ding, H. Chen, W. Zhu, Y. Lu, Q. Fang, L. Jia, and M. Yu, “Demonstration of a directed optical decoder using two cascaded microring resonators,” Opt. Lett. 36, 3314–3316 (2011). [CrossRef]
  11. Y. Tian, L. Zhang, R. Ji, L. Yang, P. Zhou, H. Chen, J. Ding, W. Zhu, Y. Lu, L. Jia, Q. Fang, and M. Yu, “Proof of concept of directed OR/NOR and AND/NAND logic circuit consisting of two parallel microring resonators,” Opt. Lett. 36, 1650–1652 (2011).
  12. L. Zhang, R. Ji, L. Jia, L. Yang, P. Zhou, Y. Tian, P. Chen, Y. Lu, Z. Jiang, Y. Liu, Q. Fang, and M. Yu, “Demonstration of directed XOR/XNOR logic gates using two cascaded microring resonators,” Opt. Lett. 35, 1620–1622 (2010). [CrossRef]
  13. Q. Xu and R. Soref, “Reconfigurable optical directed-logic circuits using microresonator-based optical switches,” Opt. Express 19, 5244–5259 (2011). [CrossRef]
  14. T. Chattopadhyay, “Optical programmable Boolean logic unit,” Appl. Opt. 50, 6049–6056 (2011). [CrossRef]
  15. A. Fert, “The present and the future of spintronics,” Thin Solid Films 517, 2–5 (2008). [CrossRef]
  16. K. C. Smith, “Multiple-valued logic: a tutorial and appreciation,” IEEE Comput. 21, 17–27 (1988). [CrossRef]
  17. 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 21, 162–168(1986). [CrossRef]
  18. Y. Imai and Y. Ohtsuka, “Optical multiple-output and multiple-valued logic operation based on fringe shifting techniques using a spatial light modulator,” Appl. Opt. 26, 274–277(1987). [CrossRef]
  19. S. Liu, C. Li, J. Wu, and Y. Lin, “Optoelectronic multiple-valued logic implementation,” Opt. Lett. 14, 713–715 (1989). [CrossRef]
  20. T. Chattopadhyay, G. K. Maity, and J. N. Roy, “Designing of all-optical tri-state logic system with the help of optical nonlinear material,” J. Nonlinear Opt. Phys. Mater. 17, 315–328(2008). [CrossRef]
  21. T. Chattopadhyay, C. Taraphdar, and J. N. Roy, “Quaternary Galois field adder based all-optical multivalued logic circuits,” Appl. Opt. 48, E35–E44 (2009). [CrossRef]
  22. 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). [CrossRef]
  23. T. Chattopadhyay and J. N. Roy, “Polarization encoded all-optical quaternary successor with the help of SOA assisted Sagnac switch,” Opt. Commun. 284, 2755–2762 (2011). [CrossRef]
  24. C. Taraphdar, T. Chattopadhyay, and J. N. Roy, “Designing of an all-optical scheme for single input Ternary logical operations,” Optik 122, 33–36 (2011). [CrossRef]
  25. E. A. M. Fagotto and M. L. F. Abbade, “All-optical demultiplexing of 4-ASK optical signals with four-wave mixing optical gates,” Opt. Commun. 283, 1102–1109 (2010). [CrossRef]
  26. A. W. Lohmann, “Polarization and optical logic,” Appl. Opt. 25, 1594–1597 (1986). [CrossRef]
  27. M. A. Karim, A. A. S. Awwal, and A. K. Cherri, “Polarization-encoded optical shadow-casting logic units: design,” Appl. Opt. 26, 2720–2725 (1987). [CrossRef]
  28. Y. A. Zaghloul and A. R. M. Zaghloul, “Complete all-optical processing, polarization-based binary logic gates and optical processors,” Opt. Express 14, 9879–9895 (2006). [CrossRef]
  29. T. Chattopadhyay and J. N. Roy, “Polarization encoded all-optical quaternary universal inverter and designing of multi-valued flip-flop,” Opt. Eng. 49, 035201 (2010). [CrossRef]
  30. K. Kieling, D. Gross, and J. Eisert, “Minimal resources for linear optical one-way computing,” J. Opt. Soc. Am. B 24, 184–188 (2007). [CrossRef]
  31. A. A. S. Awwal, M. A. Karim, and A. K. Cherri, “Polarization-encoded optical shadow-casting scheme: design of multi-output trinary combinational logic units,” Appl. Opt. 26, 4814–4818 (1987). [CrossRef]
  32. Y. Jin, Y. F. Shen, J. J. Peng, G. T. Ding, and D. J. Yue, “Principles and construction of MSD adder in ternary optical computer,” Sci. China Ser. F 53, 2159–2168 (2010). [CrossRef]
  33. Y. Jin, H. He, and Y. Lü, “Ternary optical computer principle,” Sci. China Ser. F 46, 145–150 (2003). [CrossRef]
  34. J. Yang, X. Li, J. Yang, J. Liu, and X. Su, “Polarization independent bidirectional 4×4 optical switch in free-space,” Opt. Laser Technol. 42, 927–933 (2010). [CrossRef]
  35. Z. Y. Shen, Y. Jin, and J. J. Peng, “Experimental system of ternary logic optical computer with reconfigurability,” Proc. SPIE 728231 (2009).
  36. R. Cunha, H. Boudinov, and L. Carro, “Quaternary look-up tables using voltage-mode CMOS logic design,” in Proceedings of the 37th International Symposium of Multiple-Valued Logic (ISMVL’07) (IEEE, 2007), p. 56.
  37. http://www.ternarylogic.com /ternary logicInverterswl.pdf .
  38. A. Yariv and P. Yeh, Photonics: Optical Electronics in Modern Communications, 6th ed. (Oxford University, 2006).
  39. J. Tanida and Y. Ichioka, “OPALS: optical parallel array logic system,” Appl. Opt. 25, 1565–1570 (1986). [CrossRef]
  40. K. Lu and B. E. A. Saleh, “Complex amplitude reflectance of the liquid crystal light valve,” Appl. Opt. 30, 2354–2362 (1991). [CrossRef]
  41. G. Shvets, “Optical polarizer/isolator based on a rectangular waveguide with helical grooves,” Appl. Phys. Lett. 89, 141127 (2006). [CrossRef]
  42. M. Thiel, M. Decker, M. Deubel, M. Wegener, S. Linden, and G. V. Freymann, “Polarization stop bands in chiral polymeric three-dimensional photonic crystals,” Adv. Mater. 19, 207–210 (2007). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Supplementary Material

» Media 1: MP4 (507 KB)     
» Media 2: MP4 (614 KB)     
» Media 3: MP4 (953 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited