Top

Photonic Network Communications

Published in:

15-01-2018 | Original Paper

A novel proposal for all-optical Galois field adder based on photonic crystals

Author: Alireza Andalib

Published in: Photonic Network Communications | Issue 3/2018

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

In this paper we are going to propose an all-optical structure for implementing Galois field adder. To do so, we will use four optical XOR gates. The working principle of the proposed structure is based on destructive interference of optical waves. By choosing different lengths for the input waveguides, 180\(^\circ \) of phase difference will be generated between the optical waves. In the final structure, the normalized power for logic 0 and 1 at the output ports was 1 and 45%. Time delay of the proposed structure is about 1.5 ps.

previous article Design of all-optical JK, SR and T flip-flops using micro-ring resonator-based optical switch

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Brilland, L., Smektala, F., Renversez, G., Chartier, T., Troles, J., Nguyen, T., Traynor, N., Monteville, A.: Fabrication of complex structures of holey fibers in chalcogenide glass. Opt. Express 14, 1280 (2006)CrossRef

Lüyun, Y., Danping, C., Ning, D., Chen, W., Mingying, P., Chongjun, Z., Qingling, Z., Xiongwei, J., Qingxi, C., Congshan, Z., Jianrong, Q.: Nd3+ doped silicate glass photonic crystal fiber with random hole distributions. J. Rare Earths 24, 204–206 (2006)CrossRef

Guo, X., Yang, X., Li, S., Liu, Z., Hu, M., Qu, B., Yuan, L.: An integrated nematic liquid crystal in-fiber modulator derivates from capillary optical fiber. Opt. Commun. 367, 249–253 (2016)CrossRef

Zamani, M.: Photonic crystal-based optical filters for operating in second and third optical fiber windows. Superlattices Microstruct. 92, 157–165 (2016)CrossRef

Wang, Y., Chen, D., Zhang, G., Wang, J., Tao, S.: A super narrow band filter based on silicon 2D photonic crystal resonator and reflectors. Opt. Commun. 363, 13–20 (2016)CrossRef

Zavvari, M., Mehdizadeh, F.: Photonic crystal cavity with L3-defect for resonant optical filtering. Frequenz 68, 519–523 (2014)CrossRef

Alipour-Banaei, H., Jahanara, M., Mehdizadeh, F.: T-shaped channel drop filter based on photonic crystal ring resonator. Opt. Int. J. Light Electron. Opt. 125, 5348–5351 (2014)CrossRef

Alipour-Banaei, H., Serajmohammadi, S., Mehdizadeh, F., Hassangholizadeh-Kashtiban, M.: Special optical communication filter based on Thue Morse photonic crystal structure. Opt. Appl. 46, 145–152 (2016)MATH

Djavid, M., Abrishamian, M.S.: Multi-channel drop filters using photonic crystal ring resonators. Opt. Int. J. Light Electron. Opt. 123, 167–170 (2012)CrossRef

10.

Alipour-Banaei, H., Mehdizadeh, F.: Significant role of photonic crystal resonant cavities in WDM and DWDM communication tunable filters. Optik (Stuttg) 124, 2639–2644 (2013)CrossRef

11.

Mehdizadeh, F., Alipour-Banaei, H., Serajmohammadi, S.: Channel-drop filter based on a photonic crystal ring resonator. J. Opt. 15, 075401 (2013)CrossRef

12.

Alipour-Banaei, H., Hassangholizadeh-Kashtiban, M., Mehdizadeh, F.: WDM and DWDM optical filter based on 2D photonic crystal Thue–Morse structure. Opt. Int. J. Light Electron. Opt. 124, 4416–4420 (2013)CrossRef

13.

Alipour-banaei, H., Mehdizadeh, F.: A proposal for Anti-Uvb filter based on one-dimensional photonic crystal structure. Dig. J. Nanomater. Biostruct. 7, 367–371 (2012)

14.

Alipour-Banaei, H., Mehdizadeh, F.: High sensitive photonic crystal ring resonator structure applicable for optical integrated circuits. Photonic Netw. Commun. 33, 152–158 (2017)CrossRef

15.

Dideban, A., Habibiyan, H., Ghafoorifard, H.: Photonic crystal channel drop filter based on ring-shaped defects for DWDM systems. Phys. E Low Dimens. Syst. Nanostructures. 87, 77–83 (2017)CrossRef

16.

Roshan Entezar, S.: Photonic crystal wedge as a tunable multichannel filter. Superlattices Microstruct. 82, 33–39 (2015)CrossRef

17.

Rawal, S., Sinha, R.K.: Design, analysis and optimization of silicon-on-insulator photonic crystal dual band wavelength demultiplexer. Opt. Commun. 282, 3889–3894 (2009)CrossRef

18.

Alipour-Banaei, H., Mehdizadeh, F., Serajmohammadi, S.: A novel 4-channel demultiplexer based on photonic crystal ring resonators. Opt. Int. J. Light Electron. Opt. 124, 5964–5967 (2013)CrossRefMATH

19.

Alipour-Banaei, H., Mehdizadeh, F., Hassangholizadeh-Kashtiban, M.: A novel proposal for all optical PhC-based demultiplexers suitable for DWDM applications. Opt. Quantum Electron. 45, 1063–1075 (2013)CrossRef

20.

Rostami, A., Banaei, H.A., Nazari, F., Bahrami, A.: An ultra compact photonic crystal wavelength division demultiplexer using resonance cavities in a modified Y-branch structure. Opt. Int. J. Light Electron. Opt. 122, 1481–1485 (2011)CrossRef

21.

Ooka, Y., Tetsumoto, T., Daud, N.A.B., Tanabe, T.: Ultrasmall in-plane photonic crystal demultiplexers fabricated with photolithography. Opt. Express 25, 1521–1528 (2017)CrossRef

22.

Mehdizadeh, F., Soroosh, M.: A new proposal for eight-channel optical demultiplexer based on photonic crystal resonant cavities. Photonic Netw. Commun. 31, 65–70 (2016)CrossRef

23.

Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H.: An optical demultiplexer based on photonic crystal ring resonators. Opt. Int. J. Light Electron. Opt. 127, 8706–8709 (2016)CrossRef

24.

Alipour-Banaei, H., Serajmohammadi, S., Mehdizadeh, F.: Optical wavelength demultiplexer based on photonic crystal ring resonators. Photonic Netw. Commun. 29, 146–150 (2014)CrossRefMATH

25.

Bazargani, H.P.: Proposal for a 4-channel all optical demultiplexer using 12-fold photonic quasicrystal. Opt. Commun. 285, 1848–1853 (2012)CrossRef

26.

Momeni, B., Huang, J., Soltani, M., Askari, M., Mohammadi, S., Rakhshandehroo, M., Adibi, A.: Compact wavelength demultiplexing using focusing negative index photonic crystal superprisms. Opt. Express 14, 2413 (2006)CrossRef

27.

Reza Rakhshani, M., Ali Mansouri-Birjandi, M.: Design and simulation of wavelength demultiplexer based on heterostructure photonic crystals ring resonators. Phys. E Low Dimens. Syst. Nanostructures 50, 97–101 (2013)CrossRef

28.

Tavousi, A., Mansouri-Birjandi, M.A., Saffari, M.: Successive approximation-like 4-bit full-optical analog-to-digital converter based on Kerr-like nonlinear photonic crystal ring resonators. Phys. E Low Dimens. Syst. Nanostructures 83, 101–106 (2016)

29.

Miao, B., Chen, C., Sharkway, A., Shi, S., Prather, D.W.: Two bit optical analog-to-digital converter based on photonic crystals. Opt. Express 14, 7966 (2006)CrossRef

30.

Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H., Farshidi, E.: All optical 2-bit analog to digital converter using photonic crystal based cavities. Opt. Quantum Electron. 49, 38 (2017)CrossRef

31.

Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H., Farshidi, E.: A novel proposal for all optical analog-to-digital converter based on photonic crystal structures. IEEE Photonics J. 9, 1–11 (2017)CrossRef

32.

Xu, C., Liu, X.: Photonic analog-to-digital converter using soliton self-frequency shift and interleaving spectral filters. Opt. Lett. 28, 986–988 (2003)CrossRef

33.

Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H., Farshidi, E.: Ultra-fast analog-to-digital converter based on a nonlinear triplexer and an optical coder with a photonic crystal structure. Appl. Opt. 56, 1799–1806 (2017)CrossRef

34.

Jung, Y.J., Yu, S., Koo, S., Yu, H., Han, S., Park, N., Kim, J.H., Jhon, Y.M., Lee, S.: Reconfigurable all-optical logic AND, NAND, OR, NOR, XOR and XNOR gates implemented by photonic crystal nonlinear cavities. In: Conference on Lasers and Electro-Optics/Pacific Rim. p. TuB4_3. Optical Society of America (2009)

35.

Lee, K.-Y., Lin, J.-M., Yang, Y.-C., Yang, Y.-B., Wu, J.-S., Lin, Y.-J., Lee, W.-Y.: The designs of XOR logic gates based on photonic crystals. Proc. SPIE (2008). https://doi.org/10.1117/12.803465

36.

Husko, C., Vo, T.D., Corcoran, B., Li, J., Krauss, T.F., Eggleton, B.J.: Ultracompact all-optical XOR logic gate in a slow-light silicon photonic crystal waveguide. Opt. Express 19, 20681–90 (2011)CrossRef

37.

Goudarzi, K., Mir, A., Chaharmahali, I., Goudarzi, D.: All-optical XOR and OR logic gates based on line and point defects in 2-D photonic crystal. Opt. Laser Technol. 78, 139–142 (2016)CrossRef

38.

Tang, C., Dou, X., Lin, Y., Yin, H., Wu, B., Zhao, Q.: Design of all-optical logic gates avoiding external phase shifters in a two-dimensional photonic crystal based on multi-mode interference for BPSK signals. Opt. Commun. 316, 49–55 (2014)CrossRef

39.

D’souza, N.M., Mathew, V.: Interference based square lattice photonic crystal logic gates working with different wavelengths. Opt. Laser Technol. 80, 214–219 (2016)CrossRef

40.

Hun Kim, J., Tae Byun, Y., Min Jhon, Y., Lee, S., Ha Woo, D., Ho Kim, S.: All-optical half adder using semiconductor optical amplifier based devices. Opt. Commun. 218, 345–349 (2003)CrossRef

41.

Chen, Z., Li, Z., Li, B.: A 2-to-4 decoder switch in SiGe/Si multimode inteference. Opt. Express 14, 2671 (2006)CrossRef

42.

Alipour-Banaei, H., Rabati, M.G., Abdollahzadeh-Badelbou, P., Mehdizadeh, F.: Effect of self-collimated beams on the operation of photonic crystal decoders. J. Electromagn. Waves Appl. 30, 1440–1448 (2016)CrossRef

43.

Mehdizadeh, F., Alipour-banaei, H., Serajmohammadi, S.: Study the role of non-linear resonant cavities in photonic crystal-based decoder switches. J. Mod. Opt. 64, 1233–1239 (2017)

44.

Moniem, T.A.: All optical active high decoder using integrated 2D square lattice photonic crystals. J. Mod. Opt. 62, 1643–1649 (2015)CrossRef

45.

Ouahab, I., Rafah, N.: A novel all optical 4\(\times \)2 encoder switch based on photonic crystal ring resonators. Opt. Int. J. Light Electron. Opt. 127, 7835–7841 (2016)

46.

Moniem, T.A.: All-optical digital 4 \(\times \) 2 encoder based on 2D photonic crystal ring resonators. J. Mod. Opt. 63, 735–741 (2016)CrossRef

47.

Alipour-Banaei, H., Rabati, M.G., Abdollahzadeh-Badelbou, P., Mehdizadeh, F.: Application of self-collimated beams to realization of all optical photonic crystal encoder. Phys. E Low Dimens. Syst. Nanostructures 75, 77–85 (2016)CrossRef

48.

Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H.: Proposal for 4-to-2 optical encoder based on photonic crystals. IET Optoelectron. 11, 29–35 (2017)CrossRef

49.

Liu, Q., Ouyang, Z., Wu, C.J., Liu, C.P., Wang, J.C.: All-optical half adder based on cross structures in two-dimensional photonic crystals. Opt. Express 16, 18992–19000 (2008)CrossRef

50.

Karkhanehchi, M.M., Parandin, F., Zahedi, A.: Design of an all optical half-adder based on 2D photonic crystals. Photonic Netw. Commun. 33, 159–165 (2017)

51.

Jiang, Y.-C., Liu, S.-B., Zhang, H.-F., Kong, X.-K.: Realization of all optical half-adder based on self-collimated beams by two-dimensional photonic crystals. Opt. Commun. 348, 90–94 (2015)CrossRef

52.

Andalib, P., Granpayeh, N.: All-optical ultracompact photonic crystal AND gate based on nonlinear ring resonators. J. Opt. Soc. Am. B 26, 10 (2008)CrossRef

53.

haq Shaik, E., Rangaswamy, N.: Improved design of all-optical photonic crystal logic gates using T-shaped waveguide. Opt. Quantum Electron. 48, 1–15 (2016)CrossRef

54.

haq Shaik, E., Rangaswamy, N.: Multi-mode interference-based photonic crystal logic gates with simple structure and improved contrast ratio. Photonic Netw. Commun. 34, 140–148 (2017)

55.

Mohebbi, Z., Nozhat, N., Emami, F.: High contrast all-optical logic gates based on 2D nonlinear photonic crystal. Opt. Commun. 355, 130–136 (2015)CrossRef

56.

Alipour-Banaei, H., Serajmohammadi, S., Mehdizadeh, F.: All optical NOR and NAND gate based on nonlinear photonic crystal ring resonators. Opt. Int. J. Light Electron Opt. 125, 5701–5704 (2014)CrossRef

57.

Alipour-Banaei, H., Serajmohammadi, S., Mehdizadeh, F.: All optical NAND gate based on nonlinear photonic crystal ring resonators. Opt. Int. J. Light Electron. Opt. 130, 1214–1221 (2017)CrossRefMATH

58.

Mehdizadeh, F., Soroosh, M.: Designing of all optical NOR gate based on photonic crystal. Indian J. Pure Appl. Phys. 54, 35–39 (2016)

59.

Serajmohammadi, S., Alipour-Banaei, H., Mehdizadeh, F.: All optical decoder switch based on photonic crystal ring resonators. Opt. Quantum Electron. 47, 1109–1115 (2014)CrossRefMATH

60.

Alipour-Banaei, H., Mehdizadeh, F., Serajmohammadi, S., Hassangholizadeh-Kashtiban, M.: A 2*4 all optical decoder switch based on photonic crystal ring resonators. J. Mod. Opt. 62, 430–434 (2014)MathSciNetCrossRefMATH

61.

Mehdizadeh, F., Soroosh, M., Alipour-Banaei, H.: A novel proposal for optical decoder switch based on photonic crystal ring resonators. Opt. Quantum Electron. 48, 20 (2015)CrossRef

62.

Ghadrdan, M., Mansouri-Birjandi, M.A.: Concurrent implementation of all-optical half-adder and AND & XOR logic gates based on nonlinear photonic crystal. Opt. Quantum Electron. 45, 1027–1036 (2013)CrossRef

63.

Xavier, S.C., Arunachalam, K., Caroline, E., Johnson, W.: Design of two-dimensional photonic crystal-based all-optical binary adder. Opt. Eng. 52, 25201 (2013)CrossRef

64.

Alipour-Banaei, H., Seif-Dargahi, H.: Photonic crystal based 1-bit full-adder optical circuit by using ring resonators in a nonlinear structure. Photonics Nanostructures Fundam. Appl. 24, 29–34 (2017)CrossRef

Title: A novel proposal for all-optical Galois field adder based on photonic crystals
Author: Alireza Andalib
Publication date: 15-01-2018
Publisher: Springer US
Published in: Photonic Network Communications / Issue 3/2018
Print ISSN: 1387-974X
Electronic ISSN: 1572-8188
DOI: https://doi.org/10.1007/s11107-017-0756-2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Other articles of this Issue 3/2018

Optimization of sleep period in watchful sleep mode for power-efficient passive optical networks

A hybrid WDM ring–tree topology delivering efficient utilization of bandwidth over resilient infrastructure

A novel proposal for all-optical decoder based on photonic crystals

Improved NSGA-II optimizing coding-link cost trade-offs for multicast routing in WDM networks

Two-dimensional photonic crystal ring resonator-based channel drop filter for CWDM application

Connectivity properties for UAVs networks in wireless ultraviolet communication