Korea University · Engineering
Professor Ibrahim Mahariq's research lab specializes in computational electromagnetics and advanced materials for sustainable energy and environmental applications. The lab focuses on developing high-accuracy numerical methods—particularly the spectral element method (SEM)—for solving complex electromagnetic problems, with applications in photonic devices, floating photovoltaic systems, and electromagnetic scattering. Additionally, the lab investigates trihybrid nanofluids and functional nanomaterials for enhanced heat transfer and photocatalytic processes, targeting clean energy and water purification solutions.
Figures are computed from collected data and may differ slightly.
Energy scarcity in various regions worldwide not only adversely affects people's quality of life but also hinders overall development. Pakistan is among the nations grappling with energy shortages, with high consumption and limited generation, resulting in a substantial energy shortfall of 2500 MW. Floating photovoltaic (FPV) systems present an attractive solution for harnessing solar energy, particularly where land availability is constrained. These systems offer benefits such as conserving wat
Although it is known that the spectral element method (SEM) has both high accuracy and a lower computational cost when compared with finite-element or finite-difference methods, the SEM is not widely utilized in the modeling of boundary value problems in electromagnetics. This paper provides a 2-D formulation of the well-known perfectly-matched-layer approach in the context of the SEM for the frequency-domain electromagnetic problems in which dielectric scatterers are involved. The formulation i
One of the challenges in electromagnetics is to solve electromagnetic fields originated from a radiating source or a scattering object in distances that largely exceed the dimensions of the source or scatterer. In this paper, domain decomposition based on the application reasoning of the perfectly matched layer (PML) is studied by the spectral element method (SEM) for the first time in order to solve near and far electromagnetic fields without requiring substantially computational resources. Sca
Recently, we have seen good progress in our capability to simulate complex electromagnetic systems. However, still there exist many challenges that have to be tackled in order to push limits restricting the field of computational electromagnetics upward. One of these challenges is the limitations in the available computational resources. Over several decades, the traditional computational methods, such as finite difference, finite element, and finite volume methods, have been extensively applied
The present study is to highlight the significance of viscous dissipation, Joule heating and magnetic field on the stagnation point Darcy-Forchheimer flow of THNF (trihybrid nanofluid) around a spinning sphere containing Oxytactic and gyrotactic microorganisms. The analysis also includes the effects of heat generation and higher-order chemical reaction. A trihybrid nanofluid consisting of water ( H 2 O ) as the base fluid and T i O 2 , C u and F e 3 O 4 nanoparticles is used. The Hamilton–Crosse
Developing efficient dual-functional photocatalysts capable of simultaneously facilitating photocatalytic O₂ reduction for hydrogen peroxide (H₂O₂) production and organic pollutants degradation remains a significant challenge. Herein, a novel Ti₃C₂ MXene-supported BiVO₄/InVO₄ photocatalyst was synthesized via a facile hydrothermal method and evaluated for its visible-light-driven performance in ofloxacin (OFX) degradation and H₂O₂ generation. A design-of-experiments (DoE) approach was utilized t
A loss-free compact dielectric microcylinder acting as an optical resonator is studied in the present work by means of the spectral element method. A specific whispering gallery mode (WGM) supported by the structure is constantly tracked under the same type of illumination while varying the diameter of the resonator between ∼5λ and 8λ (λ=wavelength of light). The parameter space of the optical resonator informs us that it is possible to have either a larger radius of
A photonic nanojet is a highly focused optical beam with a subwavelength waist on the shadow side of the dielectric microsphere or microcylinder. In this paper, photonic nanojets resulting from corrugated cylinders (with irregular boundaries) under normally incident plane-wave illumination are studied. Different levels of corrugations induced at the boundaries of the dielectric microcylinders produce strong light focusing as well as a photonic nanojet with unique performance compared to perfectl
We explore the on-resonance and off-resonance optical response of dielectric cylinders excited by normal incident plane waves. Both the analytical method, based on Mie theory, and the numerical method, implemented with the spectral element method, are undertaken in the study. We demonstrate that the whispering gallery mode characteristic of resonance behavior is strongly dependent on the refractive index and radius changes. Detuning of either parameter deteriorates the resonance action and creat
Although Spectral Element Method (SEM) has been applied in the modeling of boundary value problems of electromagnetics, its usage is not as common as the Finite Element or Finite Difference approaches in this area. It is well-known that the Perfectly Matched Layer (PML) approach is a mesh/grid truncation method in scattering or radiation applications where the spatial domain is unbounded. In this paper, the PML approach in the SEM context is investigated in two-dimensional, frequency-domain scat
In this paper, a comparison amongst the spectral element method (SEM), the finite difference method (FDM), and the first-order finite element method (FEM) is presented. For the sake of consistency, the comparison is carried out on one-dimensional and two-dimensional boundary value problems based on the same measure of error in order to emphasize on the high accuracy gained by the SEM. Then, the deterioration in the accuracy of the SEM due to the elemental deformation is demonstrated. Following t
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