2009, Goray, Leonid I., Schmidt, Gunther

Off-plane scattering of time-harmonic plane waves by a diffraction grating with arbitrary conductivity and general border profile is considered in a rigorous electromagnetic formulation. The integral equations for conical diffraction were obtained using the boundary integrals of the single and double layer potentials including the tangential derivative of single layer potentials interpreted as singular integrals. We derive an important formula for the calculation of the absorption in conical diffraction. Some rules which are expedient for the numerical implementation of the theory are presented. The efficiencies and polarization angles compared with those obtained by Lifeng Li for transmission and reflection gratings are in a good agreement. The code developed and tested is found to be accurate and efficient for solving off-plane diffraction problems including high-conductive surfaces, borders with edges, real border profiles, and gratings working at short wavelengths.

2013, Racec, Paul N., Goray, Leonid I.

Using the finite volume method we compute within effective mass approximation the single-particle eigenstates for electrons and holes in a InGaAs/GaAs quantum well - nanobridge - quantum dot structure. It is shown that hybrid states appear in this complex system. The interaction between the eigenvalues may be an explanation for the additional photoluminescence peak measured for inverted structures with smaller nanobridge lengths.