Vol.:(0123456789) Optical and Quantum Electronics ( 2020) 52:185 https://doi.org/10.1007/s11082-020-02309-5 1 3 Electromagnetically induced grating in double quantum dot system Fatima R. Al‑Salihi 1  · Amin Habbeb Al‑Khursan 1 Received: 10 December 2019 / Accepted: 10 March 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract Electromagnetically induced grating (EIG) in the ladder-plus-Y double quantum dot sys- tem is modeled and the difraction grating properties are explored in this structure. A high transmission function is obtained under the high pump feld. This function is reduced under increasing the probe feld due to the Kerr efect. The phase of this function depends on pumping. It is shown that the application of another two felds from the wetting layer (WL)-quantum dot (QD) type is more efcient in obtaining very high difraction intensity. So, EIG with high difraction intensity is obtained under a four-feld application. Note that, WL-QD feld efect is not studied earlier. Neglecting the WL efect reduces the transmis- sion by fve times. The difraction intensity of this system is six times higher than that obtained from a single QD structure. Keywords Quantum dot · Electromagnetically induced grating · Difraction intensity 1 Introduction Under a strong coupling feld, the atomic system becomes transparent to a weak probe feld at resonance. In this case, the quantum coherence is obtained via electromagnetically induced transparency (EIT) (Sadighi-Bonabi et al. 2015). An atomic sample can works as a difraction grating through difracting a probe beam into diferent orders of difraction, by creating a spatial grating, under the application of a strong standing wave feld. This phe- nomenon is called electromagnetically induced grating (EIG) (Naseri and Sadighi-Bonabi 2014; Sadighi-Bonabi and Naseri 2015; Ba et al. 2013). The dispersion and absorption are periodically changed since the standing wave goes through the dimensions between nodes and antinodes. The atomic medium modulates both the amplitude and phase where a hybrid grating is done through the EIG phenomenon (Ling et al. 1998). EIG has main importance due to its valuable applications in essential areas like optical switching and routing, light store, probing material optical properties, optical bistability, * Amin Habbeb Al-Khursan ameen_2all@yahoo.com 1 Nassiriya Nanotechnology Research Laboratory (NNRL), Science College, Thi-Qar University, Nassiriya, Iraq