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Figure 7. 1 (p. 309) Power division and combining. (a) Power division

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1 Figure 7. 1 (p. 309) Power division and combining. (a) Power division
Figure 7.1 (p. 309) Power division and combining. (a) Power division. (b) Power combining. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

2 Figure 7.2 (p. 310) The two types of circulators and their [S] matrices. (The phase references for the ports are arbitrary.) (a) Clockwise circulation. (b) Counterclockwise circulation. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

3 Figure 7.3 (p. 311) A reciprocal, lossless three-port network matched at ports 1 and 2.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

4 Figure 7.4 (p. 313) Two commonly used symbols for directional couplers, and power flow conventions.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

5 First figure on page 314 Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

6 Second figure on page 314. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

7 Figure 7. 5 (p. 315) Various T-junction power dividers
Figure 7.5 (p. 315) Various T-junction power dividers. (a) E plane waveguide T. (b) H plane waveguide T. (c) Microstrip T-junction. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

8 Figure 7.6 (p. 316) Transmission line model of a lossless T-junction.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

9 Figure 7.7 (p. 317) An equal-split three-port resistive power divider.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

10 Figure 7. 8 (p. 319) The Wilkinson power divider
Figure 7.8 (p. 319) The Wilkinson power divider. (a) An equal-split Wilkinson power divider in microstrip form. (b) Equivalent transmission line circuit. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

11 Figure 7.9 (p. 319) The Wilkinson power divider circuit in normalized and symmetric form.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

12 Figure 7. 10 (p. 320) Bisection of the circuit of Figure 7. 9
Figure (p. 320) Bisection of the circuit of Figure 7.9. (a) Even-mode excitation. (b) Odd-mode excitation. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

13 Figure 7. 11 (p. 321) Analysis of the Wilkinson divider to find S11
Figure (p. 321) Analysis of the Wilkinson divider to find S11. (a) The terminated Wilkinson divider. (b) Bisection of the circuit in (a). Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

14 Figure (p. 322) Frequency response of an equal-split Wilkinson power divider. Port 1 is the input port; ports 2 and 3 are the output ports. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

15 Figure 7.13 (p. 322) A Wilkinson power divider in microstrip form having unequal power division.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

16 Figure 7.14 (p. 323) An N-way, equal-split Wilkinson power divider.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

17 Figure (p. 324) Photograph of a four-way corporate power divider network using three microstrip Wilkinson power dividers. Note the isolation chip resistors. Courtesy of M.D. Abouzahra, MIT Lincoln Laboratory. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

18 Figure (p. 325) Two versions of the Bethe hold directional coupler. (a) Parallel guides. (b) Skewed guides. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

19 Figure (p. 328) Coupling and directivity versus frequency for the Beth hole coupler of Example 7.3 Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

20 Figure 7.18 (p. 328) Basic operation of a two-hole directional coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

21 Figure 7.19 (p. 329) Geometry of an N + 1 hole waveguide directional coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

22 Figure (p. 332) Coupling and directivity versus frequency for the four-hold coupler of Example 7.4 Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

23 Figure 7.21 (p. 333) Geometry of a branch-line coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

24 Figure 7.22 (p. 334) Circuit of the branch-line hybrid coupler in a normalized form.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

25 Figure (p. 334) Decomposition of the branch-line coupler into even- and odd-mode excitations. (a) Even mode (e). (b) Odd mode (o). Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

26 Figure (p. 336) Photograph of a microstrip quadrature hybrid prototype. Courtesy of M.D. Abouzabra, MIT Lincoln Laboratory. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

27 Figure (p. 337) S parameter magnitudes versus frequency for the branch-line coupler of Example 7.5 Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

28 Figure 7. 26 (p. 337) Various coupled transmission line geometries
Figure (p. 337) Various coupled transmission line geometries. (a) Coupled stripline (planar, or edge-coupled). (b) Coupled stripline (stacked, or broadside-coupled). (c) Coupled microstrip. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

29 Figure 7.27 (p. 337) A three-wire coupled transmission line and its equivalent capacitance network.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

30 Figure (p. 338) Even- and odd-mode excitations for a coupled line, and the resulting equivalent capacitance networks. (a) Even-mode excitation. (b) Odd-mode excitation. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

31 Figure (p. 339) Normalized even- and odd-mode characteristic impedance design data for edge-coupled striplines. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

32 Figure (p. 340) Even- and odd-mode characteristic impedance design data for coupled microstrip lines on a substrate with r = 10. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

33 Figure 7. 31 (p. 341) A single-section coupled line coupler
Figure (p. 341) A single-section coupled line coupler. (a) Geometry and port designations. (b) The schematic circuit. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

34 Figure (p. 343) Decomposition of the coupled line coupler circuit of Figure 7.31 into even- and odd-mode excitation. (a) Even mode. (b) Odd mode. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

35 Figure (p. 344) Coupled and through port voltages (squared) versus frequency for the coupled line coupler of Figure 7.31. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

36 Figure 7.34 (p. 346) Coupling versus frequency for the single-section coupler of Example 7.7
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

37 Figure 7.35 (p. 346) An N-section coupled line coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

38 Figure (p. 347) Photograph of a single-section microstrip coupled line coupler. Courtesy of M. D. Abouzahra, MIT Lincoln Laboratory. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

39 Figure 7.37 (p. 348) Coupling versus frequency for the three-section binomial coupler of Example 7.8
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

40 Figure 7. 38 (p. 349) The Lange coupler. (a) Layout in microstrip form
Figure (p. 349) The Lange coupler. (a) Layout in microstrip form. (b) The unfolded Lange coupler. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

41 Figure (p. 350) Equivalent circuits for the unfolded Lange coupler. (a) Four-wire coupled line model. (b) Approximate two-wire coupled line model. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

42 Figure (p. 350) Effective capacitance networks for the unfolded Lange coupler equivalent circuits of Figure (a) Effective capacitance for the four-wire model. (b) Effective capacitance for the two-wire model. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

43 Figure 7.41 (p. 352) Symbol for a 180° hybrid junction.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

44 Figure 7. 42 (p. 353) Photograph of a microstrip ring hybrid
Figure (p. 353) Photograph of a microstrip ring hybrid. Courtesy of M. D. Abouzahra, MIT Lincoln Laboratory Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

45 Figure 7. 43 (p. 353) Hybrid junctions
Figure (p. 353) Hybrid junctions. (a) A ring hybrid, or rate-race, in microstrip or stripline form. (b) A tapered coupled line hybrid. (c) A waveguide hybrid junction, or magic-T. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

46 Figure (p. 354) Even- and odd-mode decomposition of the ring hybrid when port 1 is excited with a unit amplitude incident wave. (a) Even mode. (b) Odd mode. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

47 Figure (p. 356) Even- and odd-mode decomposition of the ring hybrid when port 4 is excited with a unit amplitude incident wave. (a) Even mode. (b) Odd mode. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

48 Figure 7.46 (p. 357) S parameter magnitudes versus frequency for the ring hybrid of Example 7.9
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

49 Figure (p. 358) (a) Schematic diagram of the tapered coupled line hybrid. (b) The variation of characteristic impedances. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

50 Figure 7. 48 (p. 358) Excitation of the tapered coupled line hybrid
Figure (p. 358) Excitation of the tapered coupled line hybrid. (a) Even-mode excitation. (b) Odd-mode excitation. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

51 Figure (p. 359) Equivalent circuits for the tapered coupled line hybrid, for transmission from port 4 to port 3. (a) Even-mode case. (b) Odd-mode case. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

52 Figure (p. 361) Electric field lines for a waveguide hybrid junction. (a) Incident wave at port 1. (b) Incident wave at port 4. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

53 Figure 7.51 (p. 362) The Moreno cross-guide coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

54 Figure 7.52 (p. 362) The Schwinger reverse-phase coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

55 Figure 7.53 (p. 363) The Riblet short-slot coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

56 Figure 7.54 (p. 363) A symmetrical tapered coupled line coupler.
Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

57 Figure 7. 55 (p. 364) Various aperture coupled planar line couplers
Figure (p. 364) Various aperture coupled planar line couplers. (a) Microstrip-to-microstrip coupler. (b) Microstrip-to-waveguide coupler. (c) Microstrip-to-dielectric image line coupler. Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons

58 Figure on page 364 Microwave Engineering, 3rd Edition by David M. Pozar Copyright © 2004 John Wiley & Sons


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