Far Field Radiated Power of Dipole Antenna

1. radiated power dipole antenna

2. Hj Eq I DL z  r y j x

3. far field

4. far field

6. The teacher remembers some calculus.

8. Hj z 1 Eq I DL2 I DL1 q r 2 y j x x linear media ==> superposition holds

9. z r1 Eq q1 I DL1 r h q  r2 h h q2 I DL2 linear media ==> superposition holds

10. h z r1 Eq q1 h I DL1 r  q r2 q2 I DL2 small changes big changes

11. h z r1 Eq q1 h I DL1 r  q r2 q2 I DL2

13. Hj z 1 Eq I DL1 q r 2 y j I DL2 x x linear media ==> superposition holds

14. z r1 Eq q1 I DL1 r h q  r2 h h q2 I DL2 linear media ==> superposition holds

15. h z r1 Eq q1 h I DL2 I DL1 r  q r2 q2 small changes big changes

16. h z r1 Eq q1 h I DL2 I DL1 r  q r2 q2

18. educated guess list What is this? far field

19. educated guess list I(z) confined to length of antenna h Imaxat z = 0 Integrable function

21. q q’ r r’ z’ z method of moments can be used

22. nonuniform current antenna arrays

23. z q r

24. even function

26. spherical radiator

27. Pr is power radiated spherically into 4p steradians

29. Hertzian dipole

30. z r1 Eq q1 I(0) DL1 r h q  phase r2 h q2 I()DL2 phased array

31. r1 z Eq q1 r I(0) DL1  h q small changes h r2 q2 I()DL2 phased array

32. phased array

33. Movie to illustrate the radiation pattern of a phased array antenna – mpg movie.

34. x =