Evaluation of the external electric- and magnetic field-driven Mathieu quantum dot's optical observables
Date
15.08.2022Metadata
Show full item recordAbstract
In this study, for the first time, the total refractive index changes (TRICs) and total absorption coefficients
(TACs) of the quantum dot including the Mathieu potential confinement formed by the In𝑥�Ga1−𝑥�As/GaAs
heterostructure under the influence of external electric and magnetic fields are theoretically investigated. The
spectra and eigenfunctions of the Mathieu quantum dot are obtained using the effective mass approximation by
forming a tridiagonal matrix formalism. The iterative method and compact-density-matrix formalism are used
together to examine the nonlinear optical properties of the Mathieu quantum dot. Throughout the study, the
effects on the TRICs and TACs of the external electric and magnetic field, as well as the 𝐼�𝑛� concentration and
confinement width, are probed. Considering the strong and weak regimes of the external electric and magnetic
fields, their alternatives to the structural parameters in terms of optical properties are also evaluated. The
increment of the 𝐼�𝑛� concentration causes the quantum dot encompassment to turn into the opposite character
after a certain radial distance. This result may be remarkable in terms of experimental applications. Under
certain conditions, the incident optical intensities photons on the structure are determined at the limit values.
As well as determining the functional range of the Mathieu quantum dot in terms of the TRICs and TACs
characters, using both structure parameters and external fields and as a function of the incident photon energy,
the determination of the optimum for these characters is an important theoretical gain in terms of providing
a prediction for experimental studies.