Plasmon-exciton interactions in a spheroidal multilayer nanoshell for refractive index sensor application

Firoozi, Arezoo; Khordad, R.; Mohammadi, Ahmad; Jalali, Tahmineh

doi:10.1140/epjp/s13360-021-02094-4

Cited by 8 publications

(1 citation statement)

References 26 publications

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“…Recently, we have used the FDTD method to study low temperature behaviour of entropy and specific heat of a three dimensional quantum wire with and without considering temperature and pressure [40,41]. Also, we have used the FDTD method to calculate scattering spectra of a multilayer nanoshell [42].…”

Section: Introductionmentioning

confidence: 99%

Q-BOR–FDTD method for solving Schrödinger equation for rotationally symmetric nanostructures with hydrogenic impurity

Firoozi¹,

Mohammadi²,

Khordad³

et al. 2022

Phys. Scr.

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An efficient method inspired by the traditional body of revolution finite-difference time-domain (BOR-FDTD) method is developed to solve the Schrodinger equation for rotationally symmetric problems. As test cases, spherical, cylindrical, cone-like quantum dots, harmonic oscillator, and spherical quantum dot with hydrogenic impurity are investigated to check the efficiency of the proposed method which we coin as Quantum BOR-FDTD (Q-BOR-FDTD) method. The obtained results are analysed and compared to the 3-D FDTD method, and the analytical solutions. Q-BOR-FDTD method proves to be very accurate and time and memory efficient by reducing a three-dimensional problem to a two-dimensional one, therefore one can employ very fine meshes to get very precise results. Moreover, it can be exploited to solve problems including hydrogenic impurities which is not an easy task in the traditional FDTD calculation due to singularity problem. To demonstrate its accuracy, we consider spherical and cone-like core-shell QD with hydrogenic impurity. Comparison with analytical solutions confirms that Q-BOR–FDTD method is very efficient and accurate for solving Schrodinger equation for problems with hydrogenic impurity

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Section: Introductionmentioning

confidence: 99%