1. 2015. 10. 8 Photonic Systems Laboratory School of EE, Seoul National University Photonic Systems Lab School of EECS, S.N.U. Introduction to Electromagnetism with Practice Introduction for Using MATLAB

2. Photonic Systems Lab School of EECS, S.N.U. Schedule for Experiments 1st phase 3rd week (9/15~9/21) 09 / 17 Orientation 4th week (9/22~9/28) 09 / 24No experiment 5th week (9/29~10/05) 10 / 01No experiment 6th week (10/06~10/12) 10 / 08 Ex.1 Introduction for using Matlab 2nd phase 7th week (10/13~10/19) 10 / 15No experiment (Midterm Exam #1) 8th week (10/20~10/26) 10 / 22 Ex.2 Finite difference method (1D differential eq.) 9th week (10/27~11/02) 10 / 29Ex.3 Finite difference method (2D Laplace eq.) 3rd phase 10th week (11/03~11/09) 11 / 05Ex 4 Solving Laplace eq. with the method of separation of variable 11th week (11/10~11/16) 11 / 12No experiment (Midterm Exam #2) 12th week (11/17~11/23) 11 / 19Ex.5 Solving Laplace eq. in 2D polar coordinate 13th week (11/24~11/30) 11 / 26Ex 6 Introduction about finite element method (FEM) with FEMM software 14th week (12/01~12/07) 12 / 03 Ex.7 Experiments for measurement of electromagnetic force (Room #308) 15th week (12/08~12/104 12 / 10 No experiment (Final Exam)

3. Photonic Systems Lab School of EECS, S.N.U. Overview  Matlab Interface  Vectors and Matrices  Repetitive statement  Graphics  Numerical differentiate

4. Photonic Systems Lab School of EECS, S.N.U. MATLAB Interface  Matrix Laboratory  Numerical analysis / Signal processing / Graphics  Implementation of algorithm  Based on C Grammar / Matrix calculation ① : current folder ② : command window ③ : workspace ④ : command history ①② ③ ④

5. Photonic Systems Lab School of EECS, S.N.U. Vector and Matrix (1)

6. Photonic Systems Lab School of EECS, S.N.U. Vector and Matrix (2)  Scalar multiplication (division)  Vector calculations  Dimensions  Multiplication  >>A*B (A^2):matrix multiplication  >>A.*B (A.^2):element multiplication  >>cross(A, B)  Division  >>A/B == A*inv(B)=A*B^-1  >>A\B == inv(A)*B  >>A./B:element division

7. Photonic Systems Lab School of EECS, S.N.U. Repetitive Statement  For loop  While loop  If-else loop faster form >>n=1:1:10; >>x=sin(pi/10*n);

8. Photonic Systems Lab School of EECS, S.N.U. Graphics (1)  plot()  >>plot(x1, y1, s1, x2, y2, s2 …)  bar(x, y) : bar graph  plotyy(x1, y1, x2, y2) : graphs with y tick labels on the left and right  semilogx() (semilogy(), loglog()) : same as plot(), except a logarithmic scale is used  polar(theta, rho) : polar coordinate plot, the angle theta in radian  plot3(x, y, z) : 3D plot

9. Photonic Systems Lab School of EECS, S.N.U. Graphics (2)  mesh()  >>mesh(X, Y, Z)  contour(X, Y, Z) : contour plot  surf(X, Y, Z) : 3D colored surface  pcolor(X, Y, C) : pseudocolor or checkerboard plot  Imagesc(x, y, C) : vector specifies the locations of the pixel

10. Photonic Systems Lab School of EECS, S.N.U. Numerical Differentiation (1)

11. Photonic Systems Lab School of EECS, S.N.U. Numerical Differentiation (2) % Numerical Differentiation clear all; close all; xmin=0; xmax=2*pi; dx1=0.01*pi; dx2=0.1*pi; x1=xmin:dx1:xmax; x2=xmin:dx2:xmax; y1=sin(x1); y2=sin(x2); nn1=length(x1); nn2=length(x2); diff_y_1=(y1(3:nn1)-y1(1:nn1-2))/2/dx1; diff_y_2=(y2(3:nn2)-y2(1:nn2-2))/2/dx2; figure(1); hold on; pp1=plot(x1(2:nn1-1),diff_y_1); pp2=plot(x2(2:nn2-1),diff_y_2); set(pp1,'Color','r','LineWidth',2,'LineStyle','--'); set(pp2,'Color','b','LineWidth',2,'LineStyle','none','Marker','o'); set(gcf,'Color',[1,1,1]); set(gca,'LineWidth',1,'FontSize',15,'XLim',[0 2*pi],'YLim',[-1,1]); legend('\Deltax=0.01\pi','\Deltax=0.1\pi') HW : Modify the red box to use “for loop”

12. Photonic Systems Lab School of EECS, S.N.U. Homework (DUE 10/11)

13. Photonic Systems Lab School of EECS, S.N.U. Exercise  Visualize the electric potential of two charges +10pC at (0, 0.1) and -10pC at (0, -0.1)  >> pcolor(X, Y, C)  >> caxis([cmin cmax])  >> shading flat

14. Photonic Systems Lab School of EECS, S.N.U. Thank You !