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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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