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

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Presentation on theme: "1 Numerical ElectroMagnetics & Semiconductor Industrial Applications Ke-Ying Su Ph.D. National Central University Department of Mathematics 02. Method."— Presentation transcript:

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

2 2 Ke-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.

3 3 Ke-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

4 4 Ke-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

5 5 Ke-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.

6 6 Ke-Ying Su Ph.D. The material is for NCU/MATH course only. II. Method of Moment Consider an equation

7 7 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

8 8 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

9 9 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

10 10 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

11 11 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

12 12 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

13 13 Ke-Ying Su Ph.D. The material is for NCU/MATH course only. II. Point Matching

14 14 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

15 15 Ke-Ying Su Ph.D. The material is for NCU/MATH course only. III. Subsectional Bases

16 16 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

17 17 Ke-Ying Su Ph.D. The material is for NCU/MATH course only.

18 18 Ke-Ying Su Ph.D. The material is for NCU/MATH course only. Thank You

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