Study of EM waves in Periodic Structures: Photonic Crystals and
Negative refraction
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction
In the previous class, we have introduced various concepts necessary for the study of EM waves
in
Study of EM waves in Periodic Structures (mathematical details)
Massachusetts Institute of Technology
6.635 partial lecture notes
1
Introduction: periodic media nomenclature
1. The space domain is dened by a basis,(a1 , a2 , a3 ), where any vector can be
Study of EM waves in Periodic Structures
with addenda: Study of EM waves in Periodic Structures (mathematical details)
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction
We will study here the distribution of electromagnetic elds in
Time Domain Method of Moments
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction
The Method of Moments (MoM) introduced in the previous lecture is widely used for solving
integral equations in the frequency domain. Yet, some attempts
The Method of Moments in Electromagnetics
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction
In the previous lecture, we wrote the EFIE for an incident TE plane wave on a PEC surface.
The solution was then obtained by some types of i
Integral Equations in Electromagnetics
Massachusetts Institute of Technology
6.635 lecture notes
Most integral equations do not have a closed form solution. However, they can often be
discretized and solved on a digital computer.
Proof of the existence of
Greens functions for planarly layered media (continued)
Massachusetts Institute of Technology
6.635 lecture notes
We shall here continue the treatment of multilayered media Greens functions, starting from
the TE/TM decomposition we have presented in the p
Greens functions for planarly layered media
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction: Greens functions
The Greens functions is the solution of the wave equation for a point source (dipole). For scalar
problems, the wave equ
Dispertion relations in Left-Handed Materials
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction
We know already the following properties of LH media:
1.
r
and r are frequency dispersive.
2.
r
and r are negative over a similar freque
Characterization of Left-Handed Materials
Massachusetts Institute of Technology
6.635 lecture notes
1
Introduction
1. How are they realized?
2. Why the denomination Left-Handed?
3. What are their properties?
4. Does it really work?
It has already been sho