Year 2019, Volume 3, Issue 4, Pages 189 - 196 2019-10-01

LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES

Ozan Yakar [1] , İlke Ercan [2]

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Moore’s Law has been the fuel of expansive innovation in computing. The chip industry kept the Moore’s law extant for almost four decades. However, the halt of the rapid progress of the silicon technology is incipient by reason of the physical limitations. Emerging computing proposals suggest several alternatives to current computing paradigms and technology-bases. The photonic circuitry is one of the most promising candidates with its high operation speed, energy efficient passive components, low crosstalk and appropriateness for parallel computation. Among various approaches to photonic logic, microring resonator-based Binary-Decision Diagram (BDD) architectures have a special place due to their small circuit footprint. In this paper, we study the physical structure and operational details of a microring resonator-based Half-Adder (HA) circuit and outline the conditions under which the performance and accuracy of information processing is compromised due to its physical limitations. Our analyses significantly contribute to determining key physical features and operations, which informs the future design and operational optimization of the microring resonator-based BDD logic circuits.
Binary Decision Diagrams, Ring Resonators, Optical Processing, Photonic Logic
  • Akers, S. B. (1978). “Binary decision diagrams.” IEEE Transactions on computers, Vol. 1, No. 6, pp. 509-16.
  • Aly, M. M., Gao, M., Hills, G., Lee, C. S., Pitner, G., Shulaker, M.M., Wu, T.F., Asheghi, M., Bokor, J., Franchetti, F. and Goodson, K.E. (2015). “Energy-efficient abundant-data computing: The N3XT 1,000 x.” Computer, Vol. 48, No. 12, pp. 24-33.
  • Asahi, N., Akazawa, M. and Amemiya, Y. (1997). “Single-electron logic device based on the binary decision diagram.” IEEE Transactions on Electron Devices, Vol. 44, No. 7, pp. 1109-16.
  • Bachtold, A., Hadley, P., Nakanishi, T. and Dekker, C. (2001). “Logic circuits with carbon nanotube transistors.” Science, Vol. 294, No. 5545, pp. 1317-20.
  • Bogaerts, W., Baets, R., Dumon, P., Wiaux, V., Beckx, S., Taillaert, D., Luyssaert, B., Van Campenhout, J., Bienstman, P. and Van Thourhout, D. (2005) J. Lightwave Technol. Vol. 23, No. 1, pp. 401– 412.
  • Bogaerts, W., De Heyn, P., Van Vaerenbergh, T., De Vos, K., Kumar Selvaraja, S., Claes, T., Dumon, P., Bienstman, P., Van Thourhout, D. and Baets, R. (2012). “Silicon microring resonators.” Laser & Photonics Reviews, Vol. 6, No. 1, pp. 47-73.
  • Bogaerts, W., Dumon, P., Van Thourhout, D., Taillaert, D., Jaenen, P., Wouters, J., Beckx, S., Wiaux, V. and Baets, R. G. (2006). “Compact wavelength-selective functions in silicon-on-insulator photonic wires.” IEEE Journal of Selected Topics in Quantum Electronics, Vol. 12, No. 6, pp. 1394-401.
  • Bryant, R. E. (1986). “Graph-based algorithms for boolean function manipulation.” IEEE Transactions on computers, Vol. 100, No. 8, pp. 677-91.
  • Caulfield, H.J. and Dolev, S. (2010). “Why future supercomputing requires optics.” Nature Photonics, Vol. 4, No.5, pp. 261.
  • Chattopadhyay, T. (2013). “Optical logic gates using binary decision diagram with mirrors.” Optics & Laser Technology, Vol. 54, pp. 159-69.
  • Cheng, Z., Rios, C., Youngblood, N., Wright, C. D., Pernice, W. H. and Bhaskaran, H. (2018). “Device‐Level Photonic Memories and Logic Applications Using Phase‐Change Materials.” Advanced Materials, Vol. 30, No. 32, pp. 1802435.
  • Chhowalla, M., Jena, D. and Zhang, H. (2016). “Two-dimensional semiconductors for transistors.” Nat. Rev. Mater., Vol. 1, No. 11, pp. 16052.
  • Fedeli, J., Augendre, E., Hartmann, J., Vivien, L., Grosse, P., Mazzocchi, V., Bogaerts, W., Van Thourhout, D. and Schrank, F. (2010). “Photonics and electronics integration in the helios project.” Proc., Proceedings of the 7th IEEE International Conference on Group IV Photonics (GFP), Beijing, China, pp. 356–358.
  • Fushimi, A. and Tanabe, T. (2014). “All-optical logic gate operating with single wavelength.” Optics express, Vol. 22, No. 4, pp. 4466-79.
  • Gardelis, S., Smith, C. G., Barnes, C. H., Linfield, E. H. and Ritchie, D. A. (1999). “Spin-valve effects in a semiconductor field-effect transistor: A spintronic device.” Physical Review B., Vol. 60, No. 11, pp. 7764.
  • Green, W. M., Rooks, M. J., Sekaric, L. and Vlasov, Y. A. (2007). “Ultra-compact, low RF power, 10 Gb/s silicon Mach-Zehnder modulator.” Optics express, Vol. 15, No. 25, pp. 17106-17113.
  • Guarino, A., Poberaj, G., Rezzonico, D., Degl'Innocenti, R. and Gunter, P. (2007). “Electro–optically tunable microring resonators in lithium niobate.” Nature photonics, Vol. 1, No. 7, pp. 407.
  • Gunn, C. (2006). “CMOS photonics for high-speed interconnects.” IEEE micro, Vol. 26, No. 2, pp. 58-66.
  • Gunn, C. (2006). “Silicon Photonics: Poised to Invade Local Area Networks." Photonics Spectra, Vol. 40, No. 3, pp. 62-69.
  • Hammer, M., Hiremath, K. R. and Stoffer, R. (2004). “Analytical approaches to the description of optical microresonator devices.” Proc., AIP conference proceedings, AIP, Melville, NY, USA, Vol. 709, No. 1, pp. 48-71.
  • Hardesty L. MIT News. 2009., http://news.mit.edu/2009/optical-computing [Accessed 23 Oct 2018].
  • Heebner, J. E., Wong, V., Schweinsberg, A., Boyd, R. W. and Jackson, D. J. (2004). “Optical transmission characteristics of fiber ring resonators.” IEEE journal of quantum electronics, Vol. 40, No. 6, pp. 726-30.
  • Ladd, T. D., Jelezko, F., Laflamme, R., Nakamura, Y., Monroe, C. and O'Brien, J. L. (2010). “Quantum computers.” Nature, Vol. 464, No. 7285, pp. 45.
  • Larger, L., Soriano, M. C., Brunner, D., Appeltant, L., Gutierrez, J. M., Pesquera, L., Mirasso, C. R. and Fischer, I. (2012). “Photonic information processing beyond Turing: an optoelectronic implementation of reservoir computing.” Optics express, Vol. 20, No. 3, pp. 3241-9.
  • Lin, S., Ishikawa, Y. and Wada, K. (2012). “Demonstration of optical computing logics based on binary decision diagram.” Optics Express, Vol. 20, No. 2, pp. 1378-84.
  • Little, B. E., Chu, S. T., Haus, H. A., Foresi, J. and Laine, J. P. (1997). “Microring resonator channel dropping filters.” Journal of lightwave technology, Vol. 15, No. 6, pp. 998-1005.
  • Marcatili, E. A. (1969). “Bends in optical dielectric guides.” Bell System Technical Journal, Vol. 48, No. 7, pp. 2103-32.
  • Miller, D., (2010). “Device requirements for optical interconnects to CMOS silicon chips.” Proc., Integrated Photonics Research, Silicon and Nanophotonics, Monterey, California, USA, pp. PMB3.
  • Miller, D.A. (2010). “Are optical transistors the logical next step?” Nature Photonics, Vol. 4, No.1, pp. 3.
  • Notomi, M., Shinya, A., Mitsugi, S., Kira, G., Kuramochi, E. and Tanabe, T. (2005). “Optical bistable switching action of Si high-Q photonic-crystal nanocavities.” Optics Express, Vol. 13, No. 7, pp. 2678-87.
  • Paquot, Y., Duport, F., Smerieri, A., Dambre, J., Schrauwen, B., Haelterman, M. and Massar, S. (2012). “Optoelectronic reservoir computing.” Scientific reports, Vol. 2, pp. 287.
  • Pesin, D. and MacDonald, A. H. (2012). “Spintronics and pseudospintronics in graphene and topological insulators.” Nat. Mater., Vol. 11, No. 5, pp. 409.
  • Rios, C., Stegmaier, M., Cheng, Z., Youngblood, N., Wright, C. D., Pernice, W. H. and Bhaskaran, H. (2018). “Controlled switching of phase-change materials by evanescent-field coupling in integrated photonics.” Optical Materials Express, Vol. 8, No. 9, pp. 2455-70.
  • Rios, C., Stegmaier, M., Hosseini, P., Wang, D., Scherer, T., Wright, C. D., Bhaskaran, H. and Pernice, W. H. (2015). “Integrated all-photonic non-volatile multi-level memory.” Nature Photonics, Vol. 9, No. 11, pp. 725.
  • Shastri, B. J., Tait, A. N., Ferreira de Lima, T., Nahmias, M. A., Peng, H. T. and Prucnal, P. R. (2018). Principles of neuromorphic photonics. Unconventional Computing: A Volume in the Encyclopedia of Complexity and Systems Science, Second Edition, Springer Berlin, Heidelberg, Germany, pp. 83-118.
  • Sordan, R., Traversi, F. and Russo, V. (2009). “Logic gates with a single graphene transistor.” Applied Physics Letters, Vol. 94, No. 7, pp. 51.
  • Stegmaier, M., Rios, C., Bhaskaran, H., Wright, C. D. and Pernice, W. H. (2017). “Nonvolatile All‐Optical 1× 2 Switch for Chipscale Photonic Networks.” Advanced Optical Materials, Vol. 5, No. 1, pp. 1600346.
  • Tans S. J., Verschueren, A.R. and Dekker C. (1998). “Room-temperature transistor based on a single carbon nanotube.” Nature, Vol. 393, No. 6680, pp. 49.
  • Tazawa, H., Kuo, Y. H., Dunayevskiy, I., Luo, J., Jen, A. K., Fetterman, H. R. and Steier, W. H. (2006) “Ring resonator-based electrooptic polymer traveling-wave modulator.” Journal of lightwave technology, Vol. 24, No. 9, pp. 3514.
  • Woods, D. and Naughton, T. J. (2012). “Optical computing: Photonic neural networks.” Nature Physics, Vol. 8, No.4, pp. 257.
  • Wu, Z., Chen, Y., Xu, P., Shao, Z., Zhang, T., Zhang, Y., Liu, L., Yang,C., Zhou, L., Chen, H. and Yu, S. (2016). “Graphene-on-silicon nitride microring resonators with high modulation depth.” Proc., Asia Communications and Photonics Conference, Optical Society of America, Wuhan, China, pp. AF2A-10.
  • Yoshikawa, N., Matsuzaki, F., Nakajima, N. and Yoda, K. (2002). “Design and component test of a 1-bit RSFQ microprocessor.” Physica C: Superconductivity, Vol. 378, pp. 1454-60.
Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0003-1357-8920
Author: Ozan Yakar (Primary Author)
Institution: BOGAZICI UNIVERSITY
Country: Turkey


Orcid: 0000-0003-1339-9703
Author: İlke Ercan
Institution: BOGAZICI UNIVERSITY
Country: Turkey


Dates

Publication Date: October 1, 2019

Bibtex @research article { tuje537871, journal = {Turkish Journal of Engineering}, issn = {}, eissn = {2587-1366}, address = {Murat YAKAR}, year = {2019}, volume = {3}, pages = {189 - 196}, doi = {10.31127/tuje.537871}, title = {LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES}, key = {cite}, author = {Yakar, Ozan and Ercan, İlke} }
APA Yakar, O , Ercan, İ . (2019). LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES. Turkish Journal of Engineering, 3 (4), 189-196. DOI: 10.31127/tuje.537871
MLA Yakar, O , Ercan, İ . "LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES". Turkish Journal of Engineering 3 (2019): 189-196 <http://dergipark.org.tr/tuje/issue/47586/537871>
Chicago Yakar, O , Ercan, İ . "LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES". Turkish Journal of Engineering 3 (2019): 189-196
RIS TY - JOUR T1 - LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES AU - Ozan Yakar , İlke Ercan Y1 - 2019 PY - 2019 N1 - doi: 10.31127/tuje.537871 DO - 10.31127/tuje.537871 T2 - Turkish Journal of Engineering JF - Journal JO - JOR SP - 189 EP - 196 VL - 3 IS - 4 SN - -2587-1366 M3 - doi: 10.31127/tuje.537871 UR - https://doi.org/10.31127/tuje.537871 Y2 - 2019 ER -
EndNote %0 Turkish Journal of Engineering LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES %A Ozan Yakar , İlke Ercan %T LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES %D 2019 %J Turkish Journal of Engineering %P -2587-1366 %V 3 %N 4 %R doi: 10.31127/tuje.537871 %U 10.31127/tuje.537871
ISNAD Yakar, Ozan , Ercan, İlke . "LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES". Turkish Journal of Engineering 3 / 4 (October 2019): 189-196. https://doi.org/10.31127/tuje.537871
AMA Yakar O , Ercan İ . LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES. TUJE. 2019; 3(4): 189-196.
Vancouver Yakar O , Ercan İ . LOGIC THRESHOLD FOR MICRORING RESONATOR-BASED BDD CIRCUITS: PHYSICAL AND OPERATIONAL ANALYSES. Turkish Journal of Engineering. 2019; 3(4): 196-189.