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King Fahd University of Petroleum & Minerals

Electrical Engineering Department






My research interest is in the field of integrated optics device simulation. For the past few years, I have been utilizing and developing the Method of Lines (MOL) computational scheme for the purpose of integrated optics device simulation. This includes the enhancement of the accuracy and computational efficiency of this method. Progress made so far includes extension of the MOL to account for variable mesh in addition to using higher order approximation of the second derivative of the electromagnetic field. This has been done while accounting rigorously for the electromagnetic boundary condition at material and mesh discontinuities. In addition, I have developed a simple method based on the transformation of space into the complex domain in order to attain a perfectly matched layer (PML), which has been successfully incorporated into the MOL for the purpose of absorbing radiative waves. An important extension of the MOL has been the development of an efficient and simple procedure that allows the MOL to account for periodic structures, which can include a very large number of periods with only a minor increase in the computational demand. 


Currently, I am working on extending the MOL for application to 3D dimensional waveguide problems with abrupt and multiple strong longitudinal discontinuities. This involves the use of Padé approximants to enhance the numerical efficiency of the method. I am also currently involved in the simulation of surface plasmon propagation and scattering in metallic nano rods.


Past research experience includes work in metal-clad waveguides, nonlinear waveguides, surface plasmon polaritons,  Anti-Resonant Optical Waveguide (ARROW) and waveguide gratings of finite length.


In addition to the MOL, I have some past experience with other numerical methods, which includes, the Beam Propagation Method (BPM) and the Finite-Difference Time-Domain Method (FDTD).




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