This thesis presents an analysis of transport in one-dimensional discrete-time quantum walks (DTQWs) on the Hilbert space ℓ²(ℤ) ⊗ ℂ². Quantum walks serve as fundamental models of coherent quantum transport and exhibit ballistic spreading driven by superposition and interference. The primary focus of this work is the review and derivation of sharp maximal velocity bounds for several classes of…
Microstrip patch antennas (MPAs) rely on precise impedance matching for efficient power transfer between the antenna and feed line. This is often achieved using a number of different techniques, one of which is the quarter-wavelength transformer (QWT). While commercial electromagnetic (EM) solvers offer robust optimization capabilities, they often operate as "black boxes" without providing…
Accurate estimation of interface orientation is crucial for ensuring both the accuracy and robustness of Volume of Fluid (VOF) schemes in multiphase flow simulations, especially when using non-uniform Cartesian meshes. Conventional gradient reconstruction approaches, such as least-squares (LSQ) methods, often suffer from significant errors and strong oscillations on highly stretched grids. This…
This dissertation is about the application of the Tridiagonal Representation Approach (TRA) in handling linear phenomenons, and for the first time, the J-matrix method of scattering in handling nonlinear phenomenons. The TRA is an algebraic method for solving linear ordinary differential equations of the second order. The advantage of the method in being algebraic is reinforced by the analytic…
Early detection of liver cancer remains limited by the slow pace and invasiveness of current testing methods. This study proposes a single-walled carbon nanotube field-effect transistor (SWCNT-FET) designed to detect hexanal—a volatile organic compound (VOC) elevated in liver cancer—directly from exhaled breath. The device is modeled in QuantumATK using a semi-empirical Extended Hückel Hamiltonian…
Extending postharvest quality and maintaining the nutritional value of cucumber fruit requires specific storage conditions to postpone senescence and enhance marketability. The postharvest lighting environment is a main factor that influences quality preservation for harvested biomass. The objective of this study was to investigate the effects of different light emitting diodes (LED) spectra…
The one-million-point Fast Fourier Transform is implemented using a radix-2 single-path delay feedback pipeline architecture. To minimize the computational overhead, twiddle factors were pre-computed and stored in memory. The design uses a fixed-point representation with two integer bits and seven fractional bits, achieving a measured signal-to-noise ratio of 37.98. Given the substantial memory…
Criminal mediation, criminal proceedings, restorative justice, UAE Criminal Procedure Law, alternatives to criminal litigation This thesis addresses the topic of criminal mediation as one of the modern mechanisms adopted by contemporary criminal legislation as an alternative to traditional criminal proceedings. The study focuses on the United Arab Emirates, where the Federal Decree-Law No. (38) of…
The Impact of the Veto on the Effectiveness of the Security Council in Contemporary International Conflicts: "An Analytical Study" The League of Nations, which was established in 1919 after World War I to maintain peace, failed in its mission. Therefore, in 1945 the victorious allies established the United Nations through San Francisco Conference on June 25, 1945. This was followed by the…
Microgrid technology is essential in facilitating the transition to smart energy grids in developed countries and mitigating energy poverty in developing countries, particularly in areas where grid extensions are not feasible. Recently, the concept of networked microgrids (NMGs) has garnered tremendous attention due to the plausibility of interactions among interconnected microgrids leading to…