1. rectangular resonators

2. Rectangular Resonators
- simple idea - TE mode d x y z a b
From waveguides

3. Rectangular Resonators
- simple idea - TE mode a b d x y z

4. Rectangular Resonators
- simple idea - TE mode a b d x y z
m = 1; n = 0; l = 1

5. Rectangular Resonators
- simple idea - TE mode a b d x y z

6. a b d x y z Ey a b d x y z

7. a b d x y z
resonator

8. a b d x y z
Resonator - energy stored

9. a b d x y z
Resonator - power lost

10. Q of a basketball or an electronic circuith
h-h

11. a b d x y z

12. Q ==> volume / surface areab d x y z
Q ==> volume / surface area

13. cylindrical resonators

14. Cylindrical resonatorz a 

15. TM or TE modes mnp a j m - variation in j
n - which zero of Bessel function
p - variation in z

16. TM mode
010

17. a j
TM010 mode

18. J0(x)
J1(x) 10 20 1
2.405

19. a j
TM010 mode

20. microwave diagnosticsj
TM010 mode
microwave diagnostics

22. Resonator - energy stored

23. Resonator - power lost d a

24. Q ==> volume / surface area

25. TM010

26. TM011

28. dielectric rod

29. b
Small gap resonator a . d g