1. EE 534 Numerical Methods in Electromagnetics
Asst. Prof. Dr. Rasime Uyguroglu

2. Science knows no country because knowledge belongs to humanity and is the torch which illuminates the world.
Louis Pasteur

3. Methods Used in Solving Field Problems
Experimental methods
Analytical Methods
Numerical Methods

4. Experimental Methods Expensive Time Consuming Sometimes hazardous
Not flexible in parameter variation

5. Analytical Methods Exact solutions Difficult to Solve
Simple canonical problems
Simple materials and Geometries

6. Numerical Methods
Approximate Solutions
Involves analytical simplification to the point where it is easy to apply it
Complex Real-Life Problems
Complex Materials and Geometries

7. Applications In Electromagnetics
Design of Antennas and Circuits
Simulation of Electromagnetic Scattering and Diffraction Problems
Simulation of Biological Effects (SAR: Specific Absorption Rate)
Integrated Circuits
Physical Understanding and Education

8. Most Commonly methods used in EM
Analytical Methods
Separation of Variables
Conformal Mapping
Series expansion
Integral Solutions, e.g. Laplace Transforms

9. Most Commonly methods used in EM
Numerical Methods
Finite Difference Methods
Finite Difference Time Domain Method
Method of Moments
Finite Element Method
Method of Lines
Transmission Line Modeling

10. Commercial EM Simulation Softwares
FEKO
XFDTD

11. Numerical Methods (Cont.)
Above Numerical methods are applied to problems other than EM problems. i.e. fluid, heat transfer and acoustics.
The numerical approach has the advantage of allowing the work to be done by operators without a knowledge of high level of mathematics or physics.