EE7200 Nanophotonics Lecture 2
Dispersion in Materials
Georgios Veronis
Spring 2016
5 nm
n and n vs and vs r and r
All pairs (n and n, and , r and r) describe the same physics
For some problems one set is preferable for others another
n and n used when di
EE7200
Veronis
Spring 2016
H.O. #3
March 15, 2016
HOMEWORK ASSIGNMENT #3
(due Monday, April 4 at 3pm. No late homework will be accepted.)
1. (Transfer matrix calculation) The purpose of this problem is to get you acquainted with the
transfer matrix formal
EE7200 Nanophotonics Lecture 14
Metamaterials
Georgios Veronis
Spring 2016
5 nm
*These notes were prepared by Prof. Vladimir Shalaev from Purdue
University. His help is highly appreciated.
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EE7200
Veronis
Spring 2016
H.O. #2
March 2, 2016
HOMEWORK ASSIGNMENT #2
(due Monday, March 14)
1. (Bloch theorem) Prove the equivalence of the following two forms of the Bloch theorem:
H x + a = H x e ika if and only if H x = u x e ikx , where u x = u(x +
EE7200 Nanophotonics Lecture 7
Two-dimensional photonic crystals
Georgios Veronis
Spring 2016
5 nm
Waves propagate in a periodic lattice
1.5 m
a
High-index
dielectric material,
e.g. Si or GaAs
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2D photonic crystals: dielectric posts
Real space lattice ve
EE7200
Veronis
Spring 2016
H.O. #5
April 13, 2016
HOMEWORK ASSIGNMENTS #4 and #5
(due Wednesday, April 27)
1. (Surface plasmon polaritons) We are interested in investigating the properties of a surface
plasmon polariton propagating at the interface of a m
EE7200 Nanophotonics Lecture 3
Optical properties of metals
Georgios Veronis
Spring 2016
5 nm
Classification of Matter
Insulators, semiconductors, and metals
Classification based on bandstructure
1
Dispersion and Absorption in Insulators
Electronic trans
EE7200 Nanophotonics Lecture 12
Surface plasmon excitation and propagation
Georgios Veronis
Spring 2016
5 nm
Excitation of Surface-Plasmon Polaritons (SPPs) with Light
Problem: SPP modes lie below the light line
No coupling of SPP modes to far field and
EE7200
Veronis
Spring 2016
H.O. #1
February 12, 2016
HOMEWORK ASSIGNMENT #1
(due Monday, February 29)
1. An optical signal propagating in air has a magnetic field phasor given by
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H 2 103 e i 4.0510 y ( x iz ) A/m .
(a) Determine the frequency (in THz) a
EE7200 Nanophotonics Lecture 6
One-dimensional photonic crystals
Georgios Veronis
Spring 2016
5 nm
Example of a one-dimensional crystal
cosk x a cos(
n 2 n 22 n 2
n 2
n
n
a2 )cos( 1 a1 ) 1
a2 )sin( 1 a1 )
sin(
c
c
c
c
2n1n 2
n1 = 1.5, n2 = 3.5, a1 = 0.5
2/11/2016
EE7200 Nanophotonics Lecture 4
Interaction of light with small structures
Georgios Veronis
Spring 2016
5 nm
Light Interaction with Small Structures
Molecules
Light scattering. due to harmonically driven dipole oscillator
Nanoparticles
Insulato