Skip to main content
Log in

Design and simulation of a very fast and compact all-optical Full-Subtractor based on nonlinear effect in 2D photonic crystals

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In this paper, by using the non-linear effects and also destructive and constructive interferences between waveguides, we have designed and simulated an all-optical full-Subtractor based on two-dimensional photonic crystals. The proposed Subtractor has a very simple structure which is composed of 33 × 31 silicon rods immersed in air in a square lattice and involves three input ports (bits) and an additional waveguide to exhaust the unwanted light. We imposed some defect rods to control the behavior of the light. The used non-linear material, is a doped glass with 1.4 × 10–14 m2/w non-linear refractive index which is very greater than the non-linearity refractive index of silicon, 3.46 × 10–20 m2/w. Since the proposed structure is very simple and compact, it can be applicable in optical integrated circuits and optical calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Arjmand, M., Talebzadeh, R.: Optical filter based on photonic crystal resonant cavity. Optoelectron. Adv. Mater. Rapid Commun. 9(1–2), 32–35 (2015)

    Google Scholar 

  • Askarian, A., Akbarizadeh, G., Fartash, M.: All-optical half-subtractor based on photonic crystals. Appl. Opt. 58(22), 5931–5935 (2019)

    Article  ADS  Google Scholar 

  • Askarian, A., Akbarizadeh, G., Fartash, M.: A novel proposal for all optical half-subtractor based on photonic crystals. Opt. Quantum Electron. (2019). https://doi.org/10.1007/s11082-019-1978-6

    Article  Google Scholar 

  • Bogaerts, W., Heyn, P.D., Vaerenbergh, T.V., DeVos, K.S., Selvaraja, K., Claes, T., Dumon, P., Bienstman, P., Van Thourhout, D., Baets, R.: Silicon microring resonators. Laser Photon. Rev. 6, 47–73 (2012)

    Article  ADS  Google Scholar 

  • Boyd RW. Nonlinear optics. Academic press; 2019 Aug 15.

  • Busch, K.: Photonic Crystals. Advances in design, Fabrication and Characterization. P. 6118. Wiley (2006)

  • Derakhshan, M., Naseri, A., Ghazizadeh, M., Talebzadeh, R.: Simulant designing of an ultra-compact AND, OR logical gates based on two-dimensional photonic crystal waveguides. Photon Netw. Commun. 36(3), 338–343 (2018)

    Article  Google Scholar 

  • François, V., Najafi, S., Ohtsuki, T., Peyghambarian, N., Honkanen, S., Lalrenière1, S., and Andrews, M.: Progress towards realisation of rare-earth-doped glass integrated-optics lasers. Proc. SPIE 2213, Nanofabrication Technologies and Device Integration, (28 July 1994);

  • Goodarzi, K., Mir, A.: Design and analysis of an all-optical De-multiplexer based on photonic Crystals. Infrared Phys. Technol. 68, 193–196 (2015)

    Article  ADS  Google Scholar 

  • Green, M.A., Keevers, M.J.: Optical properties of intrinsic silicon at 300 K. Prog. Photovolt. 3, 189–192 (1995)

    Article  Google Scholar 

  • Joannopoulos, J.D., Johnson, S.G., Winn, J.N., Meade, R.D.: Photonic Crystals: Molding the Flow of Light. Princeton University Press, Princeton (2011)

    Book  Google Scholar 

  • Johnson, S., Joannopoulos, J.: Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis. Opt. Express (2001). https://doi.org/10.1364/OE.8.000173

    Article  Google Scholar 

  • Moradi, R.: All-optical half subtractor using photonic crystal based nonlinear ring resonators. Opt. Quantum Electron. (2019). https://doi.org/10.1007/s11082-019-1831-y

    Article  Google Scholar 

  • Moradi, M., Danaie, M., Orouji, A.A.: Design and analysis of an optical full-adder based on nonlinear photonic crystal ring resonators. Optik 172, 127–136 (2018)

    Article  ADS  Google Scholar 

  • Namdari, N., Talebzadeh, R.: Simple and compact optical half-subtractor based on photonic crystal resonant cavities in silicon rods. Appl. Opt. 59(1), 165–170 (2020)

    Article  ADS  Google Scholar 

  • Parandin, F., Malmir, M.R., Naseri, M.: All-optical half-subtractor with low-time delay based on two-dimensional photonic crystals. Superlattices Microstruct. 109, 437–441 (2017)

    Article  ADS  Google Scholar 

  • Taflove, A.: Computational Electrodynamics: The Finite Difference Time domain Method. Artech House, Norwood (1995)

    MATH  Google Scholar 

  • Talebzadeh, R., Soroosh, M.: A dual cavity optical channel drop filter based on two-dimensional photonic crystals. J. Optoelectron. Adv. Mater. 17(11–12), 1593–1596 (2015a)

    Google Scholar 

  • Talebzadeh, R., Soroosh, M.: High quality complete coupling 4-channel demultiplexer based on photonic crystal ring resonators. Optoelectron. Adv. Mater. Rapid Commun. 9(1–2), 5–9 (2015)

    Google Scholar 

  • Talebzadeh, R., Soroosh, M., Mehdizadeh, F.: Improved low channel spacing high quality factor four-channel demultiplexer based on photonic crystal ring resonators. Opt. Appl. (2016). https://doi.org/10.5277/oa160404

    Article  Google Scholar 

  • Talebzadeh, R., Soroosh, M., Daghooghi, T.: A 4-channel demultiplexer based on 2D photonic crystal using line defect resonant cavity. IETE J. Res. 62(6), 866–872 (2016a)

    Article  Google Scholar 

  • Talebzadeh, R., Soroosh, M., Kavian, Y.S., Mehdizadeh, F.: Eight-channel all-optical demultiplexer based on photonic crystal resonant cavities. Optik 140, 331–337 (2017)

    Article  ADS  Google Scholar 

  • Talebzadeh, R., Mehdizadeh, F., Naseri, A.: 4-channel tunable optical demultiplexer based on nonlinearity phenomenon in 2D resonant cavity photonic crystals. Frequenz 74(1–2), 9–15 (2020)

    Article  ADS  Google Scholar 

  • 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)

    Article  ADS  Google Scholar 

  • Vali-Nasab, A.M., Mir, A., Talebzadeh, R.: Design and simulation of an all-optical full-adder based on photonic crystals. Opt. Quantum Electron. (2019). https://doi.org/10.1007/s11082-019-1881-1

    Article  Google Scholar 

  • Williams, D.J., Prasad, P.: Introduction to nonlinear optical effects in molecules and polymers. Wiley, New York (1990)

    Google Scholar 

  • Yablonovitch, E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58(20), 2059–2062 (1987)

    Article  ADS  Google Scholar 

  • Zhu, L., Mehdizadeh, F., Talebzadeh, R.: Application of photonic-crystal-based nonlinear ring resonators for realizing an all-optical comparator. Appl. Opt. 58(30), 8316–8321 (2019)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ali Mir.

Ethics declarations

Conflict of interest

The authors declares that they have no conflicts of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Beiranvand, R., Mir, A. & Talebzadeh, R. Design and simulation of a very fast and compact all-optical Full-Subtractor based on nonlinear effect in 2D photonic crystals. Opt Quant Electron 53, 351 (2021). https://doi.org/10.1007/s11082-021-03002-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-021-03002-x

Keywords

Navigation