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Lectures on The Electromagnetic Field
Theory 2010
 
An electrodynamics is a division of science, which describes the process of the excitation and propagation of electromagnetic waves in different media.  
ELECTRODYNAMICS studies the electromagnetic fields, which assert by means of the forces, which act on the particles of the substances, which possess electric charges.
The course of technical electrodynamics includes the study of the theory of electromagnetic processes and electrodynamic of devices technique (electrodynamic applications: http://www.edapplications.com/). It covers the wide region of electromagnetic phenomena from the propagation of waves in the outer or near-Earth spaces to the processes in the electromagnetic devices.
 
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Circular (elliptical) polarization of the EM wave
The electromagnetic field of a Hmn (TEmn) mode in a rectangular metallic waveguide.
The animation shows the wave moving to the right side.
Reflection and transmission of the plane electromagnetic wave.
Over the last several years there has been a surge of interest in artificiall materials because of their potential to expand the range of electromagnetic properties in materials. P h o t o n i c c r y s t a l s: 
The electromagnetic wave propagation on photonic cristals. Photonic crystals are periodic structures. The non-existence of propagating electromagnetic modes inside the structures at certain frequencies introduces unique optical phenomena such as low-loss-waveguides. The part of the spectrum for which wave propagation is not possible is called the optical band-gap. The underlying physical phenomenon is based on diffraction.
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ELECTROMAGNETIC METAMATERIALS (Metamaterial=Left-handed Material =Negative Index Material)
     "R" is the Right-handed Material and "L" is the Left-handed Material Electromagnetic metamaterials are artificially structured composites that can be engineered to have desired electromagnetic properties, while having other advantageous material properties. In addition to their potential in practical applications and devices, metamaterials can offer unique and previously unexplored material properties.
Professor, Habil. Dr. Liudmila Nickelson E-mail: lucynickelson@gmail.com
Mob. Ph.: +3706 7103291 ELECTRODYNAMICS for IKSu-7(0), Fall Semester 2009. At the end of the course students should be able to have an understanding of the physical principles of electromagnetism. Thursday (T), Friday (F)
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| SYLLABUS
| 1. | Lecture 1 (1 week)
| Introduction to Electrodynamics. Vector Algebra. Vector operations. The Gradient, the Divergence, the Curl. (see D.J. Griffiths, Introduction to Electrodynamics...) L0-1, L1-1, L1-2
2 Sept., Thursday (T) 12:10-13:45, room 405
| 2.
| Class Exercises 1 (1 week)
| Vector Algebra 3 Sept., Friday (F) 8:30-10:05, room 405
| 3.
| Lecture 2
(2 week)
| Basic laws and concepts of electrostatics. Force between electric charges. Coulomb’s Law. Vectors of the Electric field. Electric Potential. Work and Energy in Electrostatics. Differential form of electrostatic laws: Gradient. The Divergence of an electrostatic field. Laplace’s and Poisson’s equations. 9 Sept. (T) 12:10-13:45 , room 405
| 4.
5.
| Lecture 3 (2 week)
Class Exercises 2
| Maxwell’s equations in a differential equation form and in a large-scale form. What is the sense of Faraday’s, Ampere’s and Gauss’s lows? The conservation low for electric charge and current densities. 10 Sept. (F) 8:30-10:05, room 405
Electromagnetic field calculations.
Sept () , room 405
| 6.
| Lecture 4 ( week)
| Maxwell’s equations and constitutive relations for isotropic and anisotropic media. Classification of media and criteria of media by resistivity. Electric and magnetic susceptibility. Permittivity and permeability. Polarization and magnetization of media. Sept. () -
| 7.
| Lecture 5 (week)
| Boundary conditions. Interface between two lossless linear media. Interface between a dielectric and a perfect conductor. Poynting’s theorem. Pointing vector. Sept. () 14:30 - 16:05, room
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8.
| Lecture 6 ( week)
| Propagation of the plane monochromatic waves in perfect dielectric media. The velocity of wave propagation. Maxwell's equations and plane waves. Polarization. Presentation2009-X
Oct. () 12:10-13:45, room 405
| 9
| Class Exercises 3 ( week)
| Propagation of electromagnetic waves. Polarization.
Oct. () 14:30 - 16:05, room 405 | 10
| Lecture 7
( week)
| Propagation of plane waves in lossy media. Penetration of electromagnetic field into a good conductor. Skin depth. Absorption.
Oct. (), 14:30-16:05, room
| 11
| Lecture 8
( week)
| Dispersion. Polarization. Reflection. Refraction. Diffraction. Interference
Normal incidence of plane waves at a plane dielectric boundary. Reflection of the plane waves. Electromagnetic field reflection and interference at a dielectric plane boundary.
The electromagnetic spectrum. Frequency ranges THF, EHF, SHF.
Oct. () 12:10 -12:55, room 405
| 12
13
| Lecture 9 ( week)
Class Exercises
| Normal incidence at a plane conducting boundary. Oblique incidence at a plane conducting.
Electromagnetic field reflection and interference at a plane conducting boundary. +++POLARIZATION1
Oct. (), 12:10 - 13:45, 14:30-16:05, room 405 | 14
15
| Lecture 10
Class Exercises
( week)
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Perpendicular and parallel polarization. Electromagnetic field reflection at a plane conducting boundary.
+++ POLARIZATION2
Oct. (W) , 14:30-16:05, room 306
| 16
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| 17 | Midterm Exam | Lectures 1-10 ---> 22 Oct., 2010 (8:30-10:05)
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HOME WORK DEADLINE 28 October, 2010 (12:10-13:45)
Your midterm exam will be on 22 Oct. (F.), 2010 (8:30-10:05), room 405
Closed notes and books. Assessment is by written examination.
The midterm exam consists of several questions. It will be between 5 and 12 short questions.Students who missed the class exercises have to solve additionally some electrodynamical problems.
Some literature to exam: 1.
2.
2HW: 
Recommended Books: - Jin Au Kong, Electromagnetic Wave Theory, EMW publishing, Cambridge, Massachusetts, USA, ISBN 0-9668143-9-8,2008, p. 1031 (1016+15 introduction).
- D.K. Cheng, Field and Waves Electromagnetics, Addison-wesley publishing Compony, Reading, Massachusetts and et al., 1989, 703 p.
- D.J. Griffiths, Introduction to Electrodynamics, Prentice Hall, Upper Saddle River, New Jersey, 1999, 576p.
- or It can be: Jin Au Kong, Electromagnetic Wave Theory, A Wiley-Interscience Publication, Jon Wiley& Sons, Inc.,New York/Chichester/Brisbane/ Toronto/ Singapore, 1990.
- S. Ramo, J.R. Whinnery, T.Van Duzer, Field and Waves in Communication Electronics, 1984, 817 p.
- Nannapaneni Narayana Rao, Prentice Hall, Englewood Cliffs, New Jersey 07632, 1994, 721 p.
- Z. Vainoris, Bangø elektronikos pagrindai. Vilnius, Technika, 2004, 500 p. (in Lithuanian)
- L. Nickelson, S. Aðmontas, V. Maliðauskas, V. Ðugurovas. (angl. summary: „Open cylindrical gyrotropic waveguides“. Monograph.) „Atvirieji cilindriniai girotropiniai bangolaidþiai“. Mokslinë monografija. Puslaidininkiø fizikos institutas, Vilniaus Gedimino technikos universitetas. Vilnius: Technika, 248 pages, 2007 (in Lithuanian).
- to Lecture 24*: Carl H. Durney, Douglas A. Christensen, Basic introduction to bioelectromagnetics. CRC Press, (Boca Raton, London, New York, Washington), 2000, 169 p.
- http://en.wikipedia.org/wiki/Wikipedia
- http://mathworld.wolfram.com
Semester GRADING =1 HOMEWORK*0.07+2 HOMEWORK*0.08+ Midterm exam*0.45+Final Exam*0.40“A” is excellent (=10), “B” is good (~9 or 8), “C” is average(~7 or 6), “I” is incomplete (=5) and “F” is Fail (less than 5). - Two homeworks will count for 15% of your final grade.
- The midterm exam will count for 45% of your final grade.
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Last update: 09/02/2010
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