numerical electromagnetics & semiconductor industrial applications

1

Numerical ElectroMagnetics&

Semiconductor Industrial Applications

Ke-Ying Su Ph.D.

National Central UniversityDepartment of Mathematics

02. Method of Moment

2Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Reference :“Field Computation by Moment Methods”, Roger F. Harrington.

Concepts of Method of Moment,

and basic theory of electrostatic

field will be introduced in this

class.

3Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Consider an equation

Method of Moment is a mathematical technique to reduce a functional equation to a matrix equation.

Following is an mathematical example.

I. Formulation of Problems

4Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

The solution of (1-8) is not unique, until boundary conditions (1-9) are included.

Then

5Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

since

The derivation of Green’s function and mathematical analyses will be introduced

in the latter classes.

6Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

II. Method of Moment

Consider an equation

7Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

8Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

9Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

10Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

11Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

12Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

13Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

II. Point Matching

14Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

15Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

III. Subsectional Bases

16Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

17Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

18Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Thank You