Skip to main content
SpringerLink
Log in

Phase control of transmission in one-dimensional photonic crystal with defect layer doped by quantum dots

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

Abstract

We discuss the propagation of an electromagnetic field through one-dimensional photonic crystal doped by quantum-dot molecules in defect layer. It is shown that in the presence of inter-dot tunneling, the transmitted and the reflected light pulse completely become phase dependent. By proper choice of the phase deference between applied fields probe field amplification through one-dimensional photonic crystal has been obtained. In this way, simultaneous subluminal transmission and reflection are achieved. The transient behavior of probe field absorption and the slope of dispersion are also presented.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Sommerfeld, A.: Ein Einwand gegen die Relativtheorie der Elektrodynamik und seine Beseitigung. Z. Physik. 8, 841 (1907)

    MATH  Google Scholar 

  • Brillouin, L.: Wave Propagation and Group Velocity. Academic, New York (1960)

    MATH  Google Scholar 

  • Hau, L.V., Harris, S.E., Dutton, Z., Behroozi, C.H.: Light speed reduction to 17 metres per second in an ultracold atomic gas. Nature 397, 594 (1999)

    Article  ADS  Google Scholar 

  • Kash, M.M., Sautenkov, V.A., Zibrov, A.S., Hollberg, L., Welch, G.R., Lukin, M.D., Rostovtsev, Y., Fry, E.S., Scully, M.O.: Ultraslow group velocity and enhanced nonlinear optical effects in a coherently driven hot atomic gas. Phys. Rev. Lett. 82, 5229 (1999)

    Article  ADS  Google Scholar 

  • Steinberg, A.M., Chiao, R.Y.: Dispersionless, highly superluminal propagation in a medium with a gain doublet. Phys. Rev. A 49, 2071 (1994)

    Article  ADS  Google Scholar 

  • Bolda, E.L., Garrson, J.C., Chiao, R.Y.: Optical pulse propagation at negative group velocities due to a nearby gain line. Phys. Rev. A 49, 2938 (1994)

    Article  ADS  Google Scholar 

  • Akulshin, A.M., Cimmino, A., Sidorov, A.I., Hannaford, P., Opat, G.I.: Light propagation in an atomic medium with steep and sign-reversible dispersion. Phys. Rev. A 67, 011801 (2003)

    Article  ADS  Google Scholar 

  • Bigelow, M.S., Lepeshkin, N.N., Boyd, R.W.: Superluminal and slow light propagation in a room-temperature solid. Science 301, 200 (2003)

    Article  ADS  Google Scholar 

  • Goren, C., Wilson-Gordon, A.D., Rosenbluh, M., Friedmann, H.: Switching from positive to negative dispersion in transparent degenerate and near-degenerate systems. Phys. Rev. A 68, 043818 (2003)

    Article  ADS  Google Scholar 

  • Wang, L.J., Kuzmich, A., Dogario, A.: Gain-assisted superluminal light propagation. Nature 406, 277 (2000)

    Article  ADS  Google Scholar 

  • Kuzmich, A., Dogariu, A., Wang, L.J., Millonni, P.M., Chiao, R.Y.: Signal velocity, causality, and quantum noise in superluminal light pulse propagation. Phys. Rev. Lett. 86, 3925 (2001)

    Article  ADS  Google Scholar 

  • Agarwal, G.S., Dey, T.N., Menon, S.: Knob for changing light propagation from subluminal to superluminal. Phys. Rev. A 64, 053809 (2001)

    Article  ADS  Google Scholar 

  • Han, D., Guo, H., Bai, Y., Sun, H.: Subluminal and superluminal propagation of light in an N-type medium. Phys. Lett. A 334, 243 (2005)

    Article  ADS  MATH  Google Scholar 

  • Tajalli, H., Sahrai, M.: Switching from normal to anomalous dispersion via coherent field. J. Opt. B: Quantum Semiclassical Opt. 7, 168 (2005)

    Article  ADS  Google Scholar 

  • Bortman-Arbiv, D., Wilson-Gordon, A.D., Friedmann, H.: Phase control of group velocity: from subluminal to superluminal light propagation. Phys. Rev. A 63, 043818 (2001)

    Article  ADS  Google Scholar 

  • Sahrai, M., Tajalli, H., Kapale, K.T., Zubairy, M.S.: Tunable phase control for subluminal to superluminal light propagation. Phys. Rev. A 70, 023813 (2004)

    Article  ADS  Google Scholar 

  • Mahmoudi, M., Sahrai, M., Tajalli, H.: The effects of the incoherent pumping field on the phase control of group velocity. J. Phys. B 39, 1825 (2006a)

    Article  ADS  Google Scholar 

  • Mahmoudi, M., Rabiei, S.W., Zohravi, L.E., Sahrai, M.: Absorption free superluminal light propagation in a three-level pump–probe system. Opt. Commun. 281, 4681 (2008)

    Article  ADS  Google Scholar 

  • Sahrai, M., Sharifi, M., Mahmoudi, M.: The effect of an incoherent pumping on the dispersive and absorptive properties of a four-level medium. J. Phys. B 42, 185501 (2009)

    Article  ADS  Google Scholar 

  • Mahmoudi, M., Sahrai, M., Tajalli, H.: Subluminal and superluminal light propagation via interference of incoherent pump fields. Phys. Lett. A 357, 66 (2006b)

    Article  ADS  Google Scholar 

  • Schmidt, H., Nikonov, D.E., Campman, K.L., Maranowski, K.D., Gossard, A.C., Imamoglu, A.: Quantum interference in semiconductor quantum wells. Laser Phys. 9, 797 (1999)

    Google Scholar 

  • Wang, Z.: Control of the probe absorption via incoherent pumping fields in asymmetric semiconductor quantum wells. Ann. Phys. 326, 340 (2011)

    Article  ADS  MATH  Google Scholar 

  • Li, J., Liu, J., Yang, X.: Controllable gain, absorption and dispersion properties of an asymmetric double quantum dot nanostructure. Superlattices Microstruct. 44, 166 (2008)

    Article  ADS  Google Scholar 

  • Chang-Hasnain, C.J., Ku, P.-C., Kim, J., Chuang, S.-L.: Variable optical buffer using slow light in semiconductor nanostructures. Proc. IEEE 91, 1884 (2003)

    Article  Google Scholar 

  • Openov, L.A.: Resonant electron transfer between quantum dots. Phys. Rev. B 60, 8798 (1999)

    Article  ADS  Google Scholar 

  • Tsukanov, A.V., Openov, L.A.: Electron transfer between semiconductor quantum dots via laser-induced resonance transitions. Semiconductors 38, 91 (2004)

    Article  ADS  Google Scholar 

  • Kosionis, S.G., Terzis, A.F., Paspalakis, E.: Optimal control of a symmetric double quantum-dot nanostructure: analytical results. Phys. Rev. B 75, 193305 (2007)

    Article  ADS  Google Scholar 

  • Sahrai, M., Mehmannavaz, M.R., Sattari, H.: Optically controllable switch for light propagation based on triple coupled quantum dots. Appl. Opt. 53, 2375 (2014a)

    Article  ADS  Google Scholar 

  • Sahrai, M., Mehmannavaz, M.R., Sattari, H.: Phase control of the group velocity in a quantum-dot molecule. Optik 125, 1488 (2014b)

    Article  ADS  Google Scholar 

  • Shiri, J.: Propagation of a laser pulse and electro-optic switch in a GaAs/AlGaAs quadruple-coupled quantum dot molecule nanostructure. Laser Phys. 26, 056202 (2016)

    Article  ADS  Google Scholar 

  • Sahrai, M., Momeni-Demne, M., Poursamad, J.: Hartman effect in a doped one-dimensional photonic crystal at normal and oblique incidences. Opt. Soc. Am. B: Opt. Phys. 32, 1139 (2015)

    Article  ADS  Google Scholar 

  • Sakoda, K.: Optical Properties of Photonic Crystals. Springer, Berlin (2004)

    Google Scholar 

  • Soukoulis, C.M.: Photonic Band Gap and Localization. Springer, Berlin (2013)

    MATH  Google Scholar 

  • Yablonovitch, E., Gmitter, T.J., Leung, K.M.: The face-centered-cubic case employing nonspherical atoms. Phys. Rev. Lett. 67, 2295 (1991)

    Article  ADS  Google Scholar 

  • Dadoenkova, YuS, Dadoenkova, N.N., Korobko, D.A., Zolotovskii, I.O., Sementsov, D.I., Luibchanskii, I.L.: Tunnelling of frequency-modulated wavepackets in photonic crystals with amplification. J. Opt. 18, 015102 (2016)

    Article  ADS  Google Scholar 

  • Arkhipkin, V.G., Myslivets, S.A.: Switching from normal to anomalous dispersion in photonic crystal with Raman gain defect. Opt. Lett. 39, 1803 (2014)

    Article  ADS  Google Scholar 

  • Arkhipkin, V.G., Myslivets, S.A.: All-optical transistor using a photonic-crystal cavity with an active Raman gain medium. Phys. Rev. A 88, 033847 (2013)

    Article  ADS  Google Scholar 

  • Jafari, D., Sahrai, M., Motavalli, H.: Phase control of group velocity in one-dimensional photonic crystal with a dispersive defect layer. Optik 124, 3305 (2013)

    Article  ADS  Google Scholar 

  • Kachare, A.H., Spitzer, W.G., Fredrickson, J.E.: Refractive index of ion‐implanted GaAs. J. Appl. Phys. 47, 4209 (1976)

    Article  ADS  Google Scholar 

  • Adachi, S.: GaAs, AlAs, and Al x Ga1− x As: Material parameters for use in research and device applications. J. Appl. Phys. 58, R1 (1985)

    Article  ADS  Google Scholar 

  • Liu, N.H., Zhu, S.Y., Chen, H., Wu, X.: Superluminal pulse propagation through one-dimensional photonic crystals with a dispersive defect. Phys. Rev. E 65, 046607 (2002)

    Article  ADS  Google Scholar 

  • Villas-Boas, J.M., Govorov, A.O., Ulloa, S.E.: Coherent control of tunneling in a quantum dot molecule. Phys. Rev. B 69, 125342 (2004)

    Article  ADS  Google Scholar 

  • Tarasov, G.G., Zhuchenko, Z.Y., Lisitsa, M.P., Mazur, Y.I., Wang, Z.M., Salamo, G.J., Warming, T., Bimberg, D., Kissel, H.: Optical detection of asymmetric quantum-dot molecules in double-layer InAs/GaAs structures. Semicoductors 40, 79 (2006)

    Article  ADS  Google Scholar 

  • Kapale, K.T., Marlan, O.S., Zhu, S.Y., Zubairy, M.S.: Quenching of spontaneous emission through interference of incoherent pump processes. Phys. Rev. A 67, 023804 (2003)

    Article  ADS  Google Scholar 

  • Gardiner, C.W., Collett, M.J.: Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation. Phys. Rev. A 31, 3761 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  • Manga Rao, V.S.C., Dutta Gupta, S., Agarwal, G.S.: Atomic absorbers for controlling pulse propagation in resonators. Opt. Lett. 29, 307 (2004)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Research Institute for Applied Physics and Astronomy, University of Tabriz, Tabriz, Iran

    M. Sahrai, M. Abbasabadi, H. Khoshsima & R. Kheradmand

  2. Aras International Campus, University of Tabriz, Tabriz, Iran

    M. Sahrai, M. Abbasabadi, H. Khoshsima & R. Kheradmand

Authors
  1. M. Sahrai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Abbasabadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Khoshsima
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. Kheradmand
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Sahrai.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sahrai, M., Abbasabadi, M., Khoshsima, H. et al. Phase control of transmission in one-dimensional photonic crystal with defect layer doped by quantum dots. Opt Quant Electron 49, 367 (2017). https://doi.org/10.1007/s11082-017-1199-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-017-1199-9

Keywords

Search

Navigation