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Electromagnetic Theory 55:170

Electromagnetic Theory 55:170. Professor Karl E. Lonngren [lonngren@engineering.uiowa.edu] 4312 SC office hours: 12:15-1:00 T & Th Kent Hutchinson – teaching assistant. Books. References: Fields and Waves in Communication Systems Fundamentals of Electromagnetics with MATLAB 2007. Topics.

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Electromagnetic Theory 55:170

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  1. Electromagnetic Theory55:170 Professor Karl E. Lonngren [lonngren@engineering.uiowa.edu] 4312 SC office hours: 12:15-1:00 T & Th Kent Hutchinson – teaching assistant

  2. Books • References: • Fields and Waves in Communication Systems • Fundamentals of Electromagnetics with MATLAB 2007

  3. Topics • MATLAB in EM • Electrostatics • Magnetostatics • Maxwell’s equations; boundary conditions • Transmission lines • Plane waves • Waveguides • Cavities • Radiation

  4. Grading • Mid-term exam ¼ • Final exam ¼ • Term paper/lecture/movie ¼ • Homework ¼

  5. MATLAB

  6. MATLAB • in the college computers • easy to use & learn • easy to produce 2-d & 3-d plots • ODE & PDE • integrate & differentiate • get pictures -- .m files in 070 web page

  7. math • >> MATLAB icon • >> x = 1 • x = • 1 • >> • complex numbers • >> y = 1+1j (or 1+ 1i) • y = • 1.0000 + 1.0000i • >> z = x - y • z = • 0 - 1.0000i • >>

  8. >> x = 1; SAVE SPACE TRICK “ ; “ • >> y = 2; • >> z = x * y; % multiply • >> z • z = • 2 • >> w = x / y; % divide • >> w • w = • 0.5000

  9. a = 1ux + 2uy + 3uz b = 3ux + 2uy + 1uz c = a + b c = 4ux + 4uy + 4uz a = [1 2 3]; b = [3 2 1]; c = a + b; c 4 4 4 vectors - addition

  10. a = 1ux + 2uy + 3uz b = 3ux + 2uy + 1uz a • b = b • a = 3 + 4 + 3 = 10 a = [1 2 3]; b = [3 2 1]; c = dot(a, b); c = 10 vectors - dot product

  11. vectors - cross product • a = 1ux + 0uy + 0uz ==> a = [1 0 0] • b = 0ux + 1uy + 0uz ==> b = [0 1 0] • d = cross (a,b) • d = • 0 0 1

  12. vectors - cross product • a = 1ux + 0uy + 0uz ==> a = [1 0 0] • b = 0ux + 1uy + 0uz ==> b = [0 1 0] • e = cross (b, a) • e = • 0 0 -1

  13. z B - A A B y x |B - A| = norm(B -A)

  14. In MATLAB • >>colormap(hot) or cool or  • >>whitebg(‘black’) or ‘green’ or  • “print screen” • “paint”

  15. simple graph >> x = [1 2 3 4 5] x= 1 2 3 4 5 >> plot(x) >> xlabel(‘#’) >> ylabel(‘value’)

  16. semicolon >>x=[1 2 3 4 5]; >>y=[5 4 3 2 1]; >>plot(x,y,’*’) >>xlabel(‘x’) >>ylabel(‘y’) two values

  17. Add to graph • clear;clf • x=0:.1:4*pi; • plot(sin(x),'linewidth',3) • hold on • plot(cos(x),'linewidth',3,'linestyle','--') • xlabel('x','fontsize',18) • ylabel('V','fontsize',18) • set(gca,'fontsize',18) • whitebg('black')

  18. >>[x,y]=meshgrid(-xa:x:xb,-ya:y:yb)

  19. >>[x,y]=meshgrid(-1:.1:1,-2:.4:4); >>R=(x.^2+(y+1).^2).^.5; >>Z=(1./R); >>surf(x,y,Z) >>view(-37.5-90,30)

  20. >>[x,y]=meshgrid(-1:.1:1,-2:.4:4); >>R=(x.^2+(y+1).^2).^.5; >>Z=(1./R); >>surf(x,y,Z) >>view(-37.5-90,30)

  21. >>[x,y]=meshgrid(-1:.1:1,-2:.4:4); >>R=(x.^2+(y+1).^2).^.5; >>Z=(1./R); >>surf(x,y,Z) >>view(-37.5-90,30)

  22. >>[x,y]=meshgrid(-1:.1:1,-2:.4:4); >>R=(x.^2+(y+1).^2).^.5; >>Z=(1./R); >>surf(x,y,Z) >>view(-37.5-90,30)

  23. >>[x,y]=meshgrid(-1:.1:1,-2:.4:4); >>R=(x.^2+(y+1).^2).^.5; >>Z=(1./R); >>surf(x,y,Z) >>view(-37.5-90,30)

  24. >>[x,y]=meshgrid(-2:.2:2,-2:.2:2); >>r1=(x.^2+(y-.5).^2).^.5; >>r2=(x.^2+(y+.5).^2).^.5; >>V=(1./r1)-(1./r2);

  25. >>mesh(x,y,V) >>view(-37.5-90,10) >>colormap(hot)

  26. >>mesh(x,y,V) >>view(-37.5-90,10) >>colormap(hot)

  27. >>[ex,ey]=gradient(V,.2,.2); >>quiver(x,y,ex,ey) >>grid

  28. >>[ex,ey]=gradient(V,.2,.2); >>quiver(x,y,ex,ey) >>grid

  29. divergence

  30. curl

  31. Iterate labels Change styles customize graphs -subplots

  32. Integration technique func = inline (‘x.*y.*z’) quad (func, xmin, xmax) dblquad (func, xmin, xmax, ymin, ymax) triplequad (func, xmin, xmax, ymin, ymax, zmin, zmax) func = inline (‘x’) quad (func, 0, 1) 0.5000

  33. movies

  34. There are “.m” programs for all of the figures and examples that are included in the book “Fundamentals of Electromagnetics with MATLAB” on the class web page for 55: 070.

  35. .m files • text editor or unix editor • !vi name.m • [esc] i ---- start typing • [esc] x ---- remove one letter • [esc] dd --- remove one line • [esc] r ---- change one letter • [esc] h ---- return to start • a - [esc] - [shift] zz ---- leave unix

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