1. Atilla Ozgur Cakmak, PhD
Nanophotonics
Atilla Ozgur Cakmak, PhD

2. Lecture 26: Introduction to Plasmonics- Part1
Unit 3
Lecture 26: Introduction to Plasmonics- Part1

3. Outline Optical Response of Metals Surface Plasmon Polaritons
SPPs in Multilayer Systems

4. A couple of words…
Plasmonics is an extremely important topic in nanophotonics. We will start by examining the optical response of the metals. Later on, we will continue investigating surface plasmon polaritons. Finally, we will look into the multilayer systems, the metallic slabs which can be used as waveguides to carry surface plasmon polaritons.
Suggested readings: “Plasmonics: Fundamentals and Applications” by Stefan Maier, Ch. 1 and 2. “Introduction to Nanophotonics” by Sergey V. Gaponenko, Ch. 6.

5. Optical Response of Metals
Under the effect of an electric field, the response of the material is modeled as a mass loaded spring with a damper attached. The electron cloud has - charge and nucleus has +. While the electron cloud is oscillating, its motion can be explained with the following equation in 1-D.

6. Optical Response of Metals

7. Optical Response of Metals (pr)
Find the real and imaginary parts of the dielectric function derived with Lorentz model for a single resonance mechanism model.

8. Optical Response of Metals (sol)
Find the real and imaginary parts of the dielectric function derived with Lorentz model for a single resonance mechanism model.

9. Optical Response of Metals

10. Optical Response of Metals
Interband transitions

11. Optical Response of Metals

12. Surface Plasmon Polaritonsz
Dielectric (semi infinite layer) {ε2} x
Metal (semi infinite layer) {ε1}
Can there exist propagating waves at the interface when illuminated by light?

13. Surface Plasmon Polaritons

14. Surface Plasmon Polaritons (pr)
Show that TE waves cannot excite SPPs.

15. Surface Plasmon Polaritons (sol)
Show that TE waves cannot excite SPPs.

16. Surface Plasmon Polaritons (sol)
Show that TE waves cannot excite SPPs.

17. Surface Plasmon Polaritons

18. Surface Plasmon Polaritons

19. Surface Plasmon Polaritons (pr)
Show that:

20. Surface Plasmon Polaritons (sol)
Show that:

21. Surface Plasmon Polaritons

22. Surface Plasmon Polaritons

23. SPPs in Multilayer Systemsz
Dielectric (semi infinite layer) {ε3} a
Metal (thickness 2a) {ε1} x -a
Dielectric (semi infinite layer) {ε2}

24. SPPs in Multilayer Systems

25. Surface Plasmon Polaritons (pr)
For gold surrounded with air on both sides, plot the dispersion curve and the fundamental mode. Use the metal with negligible damping according to Drude model. The slab is 30nm thick.

26. Surface Plasmon Polaritons (sol)
For gold surrounded with air on both sides, plot the dispersion curve and the fundamental mode. Use the metal with negligible damping according to Drude model. The slab is 30nm thick.

27. Surface Plasmon Polaritons (sol)
For gold surrounded with air on both sides, plot the dispersion curve and the fundamental mode. Use the metal with negligible damping according to Drude model. The slab is 30nm thick.

28. Surface Plasmon Polaritons (sol)
For gold surrounded with air on both sides, plot the dispersion curve and the fundamental mode. Use the metal with negligible damping according to Drude model. The slab is 30nm thick.

29. SPPs in Multilayer Systems
Dielectric line
Metal w/o damping
30nm slab
60nm slab

30. SPPs in Multilayer Systems
metal

31. SPPs in Multilayer Systems