Optical and Quantum Electronics

, Volume 47, Issue 4, pp 883–891 | Cite as

Possibilities of achieving negative refraction in QCL-based semiconductor metamaterials in the THz spectral range

  • Nikola Vuković
  • Aleksandar Daničić
  • Jelena Radovanović
  • Vitomir Milanović
  • Dragan Indjin


One of the challenges in the design of metamaterials’ unit cells is the reduction of losses caused by the metallic inclusions. In order to overcome this obstacle, it has been proposed to use the active medium as the unit cell. Quantum cascade lasers are great candidates for the active medium materials since they are able to provide high values of optical gain. In this paper we investigate and compare two quantum cascade structures optimized for emission frequencies lower than 2 THz and simulate the effect of a strong magnetic field applied perpendicularly to the layers. Comprehensive description of conduction-band nonparabolicity is used to calculate the electronic structure, and subsequently evaluate the longitudinal optical phonon and interface roughness scattering rates and solve the system of rate equations which govern the distribution of carriers among the Landau levels. Once we assess the degree of population inversion, we have all the necessary information about the permittivity component along the growth direction of the structure and may determine the conditions under which the structure displays negative refraction.


Semiconductor metamaterials Quantum cascade laser Magnetic field Negative refraction 



The authors acknowledge support from MPNS COST ACTION MP1204—TERA-MIR Radiation: Materials, Generation, Detection and Applications and BMBS COST Action BM1205—European Network for Skin Cancer Detection using Laser Imaging. This work was also supported by the Ministry of Education, Science and Technological Development (Republic of Serbia), Project III 45010, NATO SfP Grant, Ref. No. 984068 and project FastIQ, Swiss National Science Foundation (SCOPES, Joint Research Projects, ref. no. IZ73Z0_152761)


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Nikola Vuković
    • 1
  • Aleksandar Daničić
    • 2
  • Jelena Radovanović
    • 1
  • Vitomir Milanović
    • 1
  • Dragan Indjin
    • 3
  1. 1.School of Electrical EngineeringUniversity of BelgradeBelgradeSerbia
  2. 2.P* Group, Vinca Institute of Nuclear SciencesUniversity of BelgradeBelgradeSerbia
  3. 3.School of Electronic and Electrical EngineeringUniversity of LeedsLeedsUK

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