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Computerorientierte Feldtheorie 1 Computational Electromagnetics ...

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<strong>Computerorientierte</strong> <strong>Feldtheorie</strong> 1<br />

<strong>Computational</strong> <strong>Electromagnetics</strong> 1<br />

Electromagnetic Simulation Software 1<br />

PoiSolve<br />

Introductory Lecture<br />

23.10.2009<br />

Andre Rennings, BA 345, andre.rennings@uni-due.de<br />

Outline<br />

2<br />

1


Why computer-aided methods are used?<br />

Why computer-aided methods are needed?<br />

3<br />

4<br />

2


Fundamentals of simulations<br />

As analytical solutions are difficult (or impossible), there exist many<br />

computational methods that are based on approximations of Maxwell’s<br />

equations and/or boundary conditions and/or material properties.<br />

”The power of analytical models over full-wave computational simulations is<br />

the significantly lower calculating time. With analytical models and modern<br />

mathematical software (like MATLAB or MAPLE), the solving time is decreased<br />

into seconds. The analytical result is always more or less an approximation,<br />

whereas the EM simulation is as exact as the user’s know-how with the<br />

simulator enables. However in practical design, the value of the saved<br />

calculation time is multiple times worth of the decreased accuracy when the<br />

limits of the model are acknowledged...”<br />

What do you think?<br />

Fundamentals of simulations<br />

5<br />

6<br />

3


Electromagnetic simulators<br />

Approaches to field solutions<br />

7<br />

8<br />

4


Fundamentals of simulations<br />

Fundamentals of simulations<br />

9<br />

10<br />

5


Fundamentals of simulations<br />

Important simulation parameters<br />

11<br />

12<br />

6


Checklist for accuracy<br />

Summary: Importance & place of numerical methods<br />

13<br />

14<br />

7


Various numerical methods<br />

Classification of numerical methods<br />

15<br />

16<br />

8


Frequency domain vs. time domain methods<br />

Advantages of FD modelling<br />

17<br />

18<br />

9


Advantages of TD modelling<br />

Finite Element Method, FEM<br />

19<br />

20<br />

10


Some features of FEM<br />

Finite Difference Time Domain, FDTD<br />

21<br />

22<br />

11


Some features of FDTD<br />

Method of Moments, MoM<br />

23<br />

24<br />

12


Some features of MoM<br />

Expansion functions<br />

25<br />

26<br />

13


MoM, FEM, FDTD – Comparison I<br />

MoM, FEM, FDTD – Comparison II<br />

27<br />

28<br />

14


Conclusions<br />

29<br />

15

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