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Home of PHY 313
Electromagnetism with
Applications
in Nanotechnology
The goal of this
course is to derive the general form of Maxwell Equation (ME) and to
solve them. Mastering these equations is becoming an essential for the
advancement of Nano-optoelectronic and related fields. We will go through
solving standard electromagnetism problems, then we will extend the
knowledge built in this course to explore a number of nanotechnology applications.
We will start
with a primer on Geometry and Differential Geometry, as these are
the mathematical tools needed to describe electromagnetic systems and problems.
The general ME
will be built progressively starting from the very first laws of electrostatic and
magnetism.
Some insights on
the potential theory and causality theory will be provided to the
students.
Propagation of
electromagnetic waves in dielectrics will be a crucial part of this
course. The relation with optical properties will be quickly
established.
Physical
boundary conditions effecting electromagnetic fields and
various waveguides will be introduced.
We will study
the propagation modes in microwave waveguides and in optical fibers
We will also
explore the electromagnetic
fields in cavities
The
stress optical tensor in optical fibers will be introduced as it is
crucial for nanoscale optical systems.
Nanotechnology Applications:
We will solve ME using Finite Element Analysis
(FEA) for:
- Optical Fibers,
- Near field optical microscope,
and
- Field Emission devices.
Needed Tools:
we will use:
- This website, which will provide appropriate materials for
reading,
- MATHCAD for the students to prepare their reports, and
- Special software to solve naotechnology problems (one that is
proprietary to
Prof. Karoui, FEMLAB a FEA pwerful tool, and MAX 1 a specialized
tool for
solving, EM problems).
About this
domain:
This domain is
set to help you getting the most of your classes. Check the “For
Today”
to be ready for your class.
Ask your
questions through the Forum and discuss with classmates the
materials provided to you in class or over this website including
the "Assignments" page. The TA will moderate the discussion. I will intervene
and interact with you when necessary. Homework posting
will be usually two to three weeks before submission date.
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