1. 03/23/2015PHY 712 Spring 2015 -- Lecture 231 PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103 Plan for Lecture 23: Continue reading Chap. 9 & 10 A.Electromagnetic waves due to specific sources B.Dipole radiation examples C.Scattered radiation

2. 03/23/2015PHY 712 Spring 2015 -- Lecture 232

3. 03/23/2015PHY 712 Spring 2015 -- Lecture 233 Review:

4. 03/23/2015PHY 712 Spring 2015 -- Lecture 234 Formulation of Maxwell’s equations in terms of vector and scalar potentials: Review:

5. 03/23/2015PHY 712 Spring 2015 -- Lecture 235 Electromagnetic waves from time harmonic sources Review:

6. 03/23/2015PHY 712 Spring 2015 -- Lecture 236 Electromagnetic waves from time harmonic sources – continued: Review:

7. 03/23/2015PHY 712 Spring 2015 -- Lecture 237 Forms of spherical Bessel and Hankel functions: Review:

8. 03/23/2015PHY 712 Spring 2015 -- Lecture 238 Electromagnetic waves from time harmonic sources – continued: Review:

9. 03/23/2015PHY 712 Spring 2015 -- Lecture 239 Electromagnetic waves from time harmonic sources – continued: Review:

10. 03/23/2015PHY 712 Spring 2015 -- Lecture 2310 Properties of dipole radiation field for kr >>1: B x y Example: z r  p E

11. 03/23/2015PHY 712 Spring 2015 -- Lecture 2311 Alternative approach

12. 03/23/2015PHY 712 Spring 2015 -- Lecture 2312 Alternative approach -- continued Linear center-fed antenna z r  d/2

13. 03/23/2015PHY 712 Spring 2015 -- Lecture 2313 Alternative approach – linear center-fed antenna continued

14. 03/23/2015PHY 712 Spring 2015 -- Lecture 2314 Alternative approach – linear center-fed antenna continued

15. 03/23/2015PHY 712 Spring 2015 -- Lecture 2315 Alternative approach – linear center-fed antenna continued kd= 

16. 03/23/2015PHY 712 Spring 2015 -- Lecture 2316 Dipole radiation in light scattering by small (dielectric) particles E inc H inc H sc E sc

17. 03/23/2015PHY 712 Spring 2015 -- Lecture 2317 Dipole radiation in light scattering by small (dielectric) particles E inc H inc H sc E sc

18. 03/23/2015PHY 712 Spring 2015 -- Lecture 2318 Estimation of scattering dipole moment: Suppose the scattering particle is a dielectric sphere with permittivity  and radius a:

19. 03/23/2015PHY 712 Spring 2015 -- Lecture 2319 Scattering by dielectric sphere with permittivity  and radius a:  For E inc polarized in scattering plane: 

20. 03/23/2015PHY 712 Spring 2015 -- Lecture 2320 Scattering by dielectric sphere with permittivity  and radius a:  For E inc polarized perpendicular to scattering plane:

21. 03/23/2015PHY 712 Spring 2015 -- Lecture 2321 Scattering by dielectric sphere with permittivity  and radius a:  