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TRANSMISSION MEDIA

TRANSMISSION MEDIA. MAXWELL’S EQUATIONS AND TRANSMISSION MEDIA CHARACTERISTICS. ENEE 482 Spring 2002 DR. KAWTHAR ZAKI. Two conductor wire. Coaxial line. Shielded Strip line. MICROWAVE CIRCUIT ELEMENTS AND ANALYSIS. Dielectric. Common Hollow-pipe waveguides. Rectangular guide.

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TRANSMISSION MEDIA

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  1. TRANSMISSION MEDIA MAXWELL’S EQUATIONS AND TRANSMISSION MEDIA CHARACTERISTICS ENEE 482 Spring 2002 DR. KAWTHAR ZAKI

  2. Two conductor wire Coaxial line Shielded Strip line MICROWAVE CIRCUIT ELEMENTS AND ANALYSIS Dielectric ENEE482

  3. Common Hollow-pipe waveguides Rectangular guide Ridge guide Circular guide ENEE482

  4. STRIP LINE CONFIGURATIONS W SINGLE STRIP LINE COUPLED LINES COUPLED STRIPS TOP & BOTTOM COUPLED ROUND BARS ENEE482

  5. MICROSTRIP LINE CONFIGURATIONS SINGLE MICROSTRIP TWO COUPLED MICROSTRIPS TWO SUSPENDED SUBSTRATE LINES SUSPENDED SUBSTRATE LINE ENEE482

  6. TRANSMISSION MEDIA • TRANSVERSE ELECTROMAGNETIC (TEM): • COAXIAL LINES • MICROSTRIP LINES (Quasi TEM) • STRIP LINES AND SUSPENDED SUBSTRATE • METALLIC WAVEGUIDES: • RECTANGULAR WAVEGUIDES • CIRCULAR WAVEGUIDES • DIELECTRIC LOADED WAVEGUIDES • ANALYSIS OF WAVE PROPAGATION ON THESE • TRANSMISSION MEDIA THROUGH MAXWELL’S • EQUATIONS ENEE482

  7. Electromagnetic Theory Maxwell’s Equations ENEE482

  8. Auxiliary Relations: ENEE482

  9. Maxwell’s Equations in Large Scale Form ENEE482

  10. Maxwell’s Equations for the Time - Harmonic Case ENEE482

  11. m1,e1 E1t h m2,e2 E2t D1n Ds h D2n Boundary Conditions at a General Material Interface ENEE482

  12. Fields at a Dielectric Interface ENEE482

  13. rs + + + n Js Ht ENEE482

  14. The magnetic wall boundary condition ENEE482

  15. Wave Equation ENEE482

  16. Plane Waves ENEE482

  17. ENEE482

  18. z E y n H x H is perpendicular to E and to n. (TEM waves) ENEE482

  19. Plane Wave in a Good Conductor ENEE482

  20. Boundary Conditions at the Surface of a Good Conductor The field amplitude decays exponentially from its surface According to e-u/ds where u is the normal distance into the Conductor, ds is the skin depth ENEE482

  21. Reflection From A Dielectric Interface Parallel Polarization e x Er n2 e0 Et n3 q2 q3 z q1 n1 Ei ENEE482

  22. ENEE482

  23. Energy and Power Under steady-state sinusoidal time-varying Conditions, the time-average energy stored in the Electric field is ENEE482

  24. ENEE482

  25. Poynting Theorem ENEE482

  26. ENEE482

  27. ENEE482

  28. L R I V Circuit Analogy C ENEE482

  29. Potential Theory ENEE482

  30. Solution For Vector Potential J (x’,y’, z’) R (x,y,z) r’ r ENEE482

  31. Waves on An Ideal Transmission Line Rg z Lumped element circuit model for a transmission line Ldz I(z,t)+dI/dz dz I(z,t) V(z,t) Cdz V(z,t)+dv/dz dz ENEE482

  32. ENEE482

  33. Steady State Sinusoidal Waves ENEE482

  34. C1 C2 S Transmission Line Parameters ENEE482

  35. Zc To generator ZL Z Terminated Transmission Line ENEE482

  36. ENEE482

  37. Transmission Lines & Waveguides Wave Propagation in the Positive z-Direction is Represented By:e-jbz ENEE482

  38. Modes Classification: 1. Transverse Electromagnetic (TEM) Waves 2. Transverse Electric (TE), or H Modes 3. Transverse Magnetic (TM), or E Modes 4. Hybrid Modes ENEE482

  39. TEM WAVES ENEE482

  40. ENEE482

  41. TE WAVES ENEE482

  42. ENEE482

  43. TM WAVES ENEE482

  44. b a e TEM TRANSMISSION LINES Coaxial Two-wire Parallel -plate ENEE482

  45. a b e COAXIAL LINES ENEE482

  46. THE CHARACTERISTIC IMPEDANCE OF A COAXIAL IS Z0 ENEE482

  47. 100 10 b/a 1 0 20 40 60 80 200 220 240 260 100 120 140 160 180 X Zc OF COAXIAL LINE AS A FUNCTION OF b/a = er Zo ENEE482

  48. Transmission line with small losses ENEE482

  49. ENEE482

  50. Qc OF COAXIAL LINE AS A FUNCTION OF Zo er Zc ENEE482

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