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ECE & TCOM 590 Microwave Transmission for Telecommunications

ECE & TCOM 590 Microwave Transmission for Telecommunications. Microwave Passive Components February 19, 26, 2004. Network Matrices. I 1. I 2. + V 1 -. + V 2 -. Two-Port Device. Low frequency circuits - use Z, Y, H parameters

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ECE & TCOM 590 Microwave Transmission for Telecommunications

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  1. ECE & TCOM 590Microwave Transmission for Telecommunications Microwave Passive Components February 19, 26, 2004

  2. Network Matrices I1 I2 + V1 - + V2 - Two-Port Device Low frequency circuits - use Z, Y, H parameters Z: V1 = z11I1 + z12I2 Y: I1 = y11V1 + y12V2 V2 = z21I1 + z22I2 I2 = y21V1 + y22V2 H: V1 = h11I1 + h12V2 I2 = h21I1 + h22V2

  3. Network Matrices

  4. Network Matrices E Y1+ E Y2+ E Y2- E Y1-

  5. Network Matrices

  6. Scattering Matrices for a 2 port a1+ a2+ a1- a2-

  7. Scattering Matrices for an n port -

  8. Physical Interpretation for a 2 port a1+ a2+=0 ZL=ZTE a1- a2- Matched load

  9. Scattering Matrices for an n port -

  10. Scattering Matrices for an n port -

  11. Scattering Matrices for an n port -

  12. Scattering Matrices for an n port -

  13. Basic Properties of Scattering Matrix Elements (S parameters): Lossless System -

  14. Basic Properties (continued) -

  15. Basic Properties (continued) -

  16. Basic Properties (continued) -

  17. Basic Properties (continued) -

  18. Basic Properties (continued) -

  19. Basic Properties (continued) -

  20. Examples: Tee Junction • Waveguide, coax, stripline, junction with 3 ports and used for power dividers, mixers, sampling junctions • axis of side arm (2) is parallel to E of main guide [(1) to (3)]. Power fed at port 2 appears at (1) & (3) as = magnitude, opposite phase.

  21. H Plane Tee Junction -

  22. H Plane Tee Junction -

  23. H Plane Tee Junction -

  24. H Plane Tee Junction

  25. Hybrid Tee -

  26. Hybrid Tee -

  27. Hybrid Tee -

  28. Hybrid Tee -

  29. Directional Coupler 4 port microwave junction Power in 1 couples to port 2 with a fraction to port 4 and virtually none to 3 Power in 2 couples to port 2 with fraction to 3 and none to 4 All ports well matched so Sii=0

  30. Directional Coupler -

  31. Directional Coupler -

  32. Directional Coupler (D/C) From this S matrix • Power coupled to port 4 is 90o out of phase relative to power at port 2. (Same for power coupled to 3 compared to 1 for power in reverse direction. • Lines 1&2 and 3&4 are identical and any can be used as primary line while others serve as secondary • D/C with c2 small(<<1): widely used for power moni-toring in forward and reverse directions. Reflections from imperfectly matched load or antenna. • D/C with c2 significant fraction of unity used as power dividers

  33. Directional Coupler Parameters

  34. Balanced Amplifier Configuration(ref: Gonzalez, Microwave Transistor Amplifiers)

  35. Branch Line Coupler (ref: Gonzalez, Microwave Transistor Amplifiers)

  36. Branch-Line Coupler

  37. (ref. Pozar, Microwave Electronics)

  38. Lange Directional Coupler

  39. Lange Directional Coupler • Popular implementation of the quadrature hybrid in microstrip line form. • The interdigital form of the microstrips permits a very compact geometric size and provides for tight coupling. • Typically coupling values range between –5 and – 1 dB. • Octave or more of bandwidth.

  40. TEM Directional Couplers Pair of coupled transmission lines has coupling with wave induced on secondary line is in a direction opposite to that of primary

  41. TEM Directional Coupler

  42. TEM Directional Coupler -

  43. Coupled Coplanar Striplines Power on a coupled TEM-transmission line propagates as a composite of two possible modes: one even and one odd.

  44. Coupled Coplanar Striplines -

  45. Coupled Coplanar Striplines -

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