1. Prof. David R. Jackson ECE Dept. Spring 2014 Notes 19 ECE 6341 1

2. Cylindrical Surface Waves TM z SW: 2 dipole y x Source z = 0

3. Cylindrical Surface Waves (cont.) TE z SW: 3 dipole y x Source z = 0

4. Cylindrical Surface Waves (cont.) VED: TM z only 4 dipole y x VED z = 0

5. Cylindrical Surface Waves (cont.) 5 VMD: TE z only dipole y x VMD z = 0

6. Cylindrical Surface Waves (cont.) HED: TM z +TE z TM z SW: TE z SW: 6 dipole y x HED z = 0

7. Cylindrical Surface Waves (cont.) Consider a TM z surface wave that varies in a region as (Similarly for TE z ) Hence 7 Note: The characteristic impedance is independent of the azimuthal index n and the radial distance . (We could also examine E  and H .)

8. Cylindrical Surface Waves (cont.) Hence the same TRE is found as in the case of a 1D SW, with instead of Hence (Here x is the direction of propagation for a 1D SW.) 8