numerical electromagnetics & semiconductor industrial applications

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1 Numerical ElectroMagnetics & Semiconductor Industrial Applications Ke-Ying Su Ph.D. National Central University Department of Mathematics 02. Method of Moment

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National Central University Department of Mathematics. Numerical ElectroMagnetics & Semiconductor Industrial Applications. Ke -Ying Su Ph.D. 02. Method of Moment. Reference : “Field Computation by Moment Methods”, Roger F. Harrington. - PowerPoint PPT Presentation

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Page 1: 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

Page 2: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

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.

Page 3: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

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

Page 4: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

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

Page 5: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

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.

Page 6: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

6Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

II. Method of Moment

Consider an equation

Page 7: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

7Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 8: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

8Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 9: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

9Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 10: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

10Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 11: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

11Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 12: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

12Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 13: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

13Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

II. Point Matching

Page 14: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

14Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 15: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

15Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

III. Subsectional Bases

Page 16: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

16Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 17: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

17Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Page 18: Numerical  ElectroMagnetics &  Semiconductor Industrial Applications

18Ke-Ying Su Ph.D.

The material is for NCU/MATH course only.

Thank You