In this dissertation, coupled resonator optical waveguides are analyzed and a new analytical model to study their spectral properties is developed. Coupled mode theory and plane wave expansion are employed in order to study the spectral properties of CROWs and a new semi-analytical model is derived. This semi-analytical model is used for the derivation of an analytical solution for the device’s...

In this paper we introduce a fractional stochastic version of the MackeyGlass model which is a potential candidate to model objects in biology and finance. By a semimartingale approximate approach we find a semi-analytical expression for the solution.

The weld quality is highly related to the thermal history of and there have been many trials monitor using an infrared (IR) sensor. To obtain real temperature a surface based on brightness values measured by IR camera, emissivity value must be derived. For accurate assessment emissivity, one aware melting point isotherm. profiles only depend three factors during laser processing, specified as c...

Multispecies contaminant transport in the Earth's subsurface is commonly modelled using advection-dispersion equations coupled via first-order reactions. Analytical and semi-analytical solutions for such problems are highly sought after but currently limited to either one species, homogeneous media, certain reaction networks, specific boundary conditions or a combination thereof. In this paper,...