Mathematical theory and applications of
electromagnetic fields - Research
Electromagnetic
analysis is becoming increasingly important in many fields of physics and
electrical engineering. Traditionally electromagnetic analysis is restricted
to analytical and approximative solutions of some simple cases with special
symmetry. In recent years this has dramatically changed with the development
of numerical methods and computers. The ability to perform computer simulations
with Maxwell's equations allows researches to make realistic models of complex
electromagnetic problems. In fact, in many areas such as microwave engineering,
remote sensing, antenna analysis and design, medical imaging, geophysics and
wireless communication and propagation, numerical simulations have became
a significant part of research and development.
The work of the research division
is focused on developing mathematical theory of electromagnetic and acoustic
inverse problems and developing integral equation methods for computational
electromagnetics.
In electromagnetic and acoustic inverse problems the main question
is to determine the material parameters of a body, or the shape of a body,
from the data measured on the surface of the body or from the scattered data.
The research of the group is motivated by a need to develop rigorous mathematical
theory of inverse problems which could also lead to efficient numerical algorithms
for practical applications.
The integral equation methods are suitable and flexible for
many electromagnetic field problems. Additional problems arise from the singular
kernels of the integral equations. Evaluation of the singularities together
with the choices of basis and testing functions and a proper integral formulation
are crucial to have an efficient and accurate method. The research group has
developed a triangular patch model with RWG basis functions for both perfectly
conducting and dielectric objects and for objects composed by combination
of conducting and dielectric objects. More recently, the group has started
research on fast integral equation methods for computational electromagnetics.
The work on the computational electromagnetics is motivated
by applications to real life problems and contract research with industry.
During the last ten years our researchers have contributed to several contract
research projects in various fields.
Research Areas
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