Electromagnetic Theory

Teacher

Meena Kumari Sahu

Category

Core Courses

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Course Name : Electromagnetic Theory

Code(Credit) : CUTM1495(3-2-1)

Course Objectives

  •  To provide the basic skills required to understand, develop, and design various engineering applications involving electromagnetic fields.
  •  To lay the foundations of electromagnetism and its practice in modern communications such as wireless, guided wave principles such as fiber optics and electronic electromagnetic structures.
  •  To understand the transverse nature of light.

Learning Outcomes

COs Course outcomes Mapping COs with POs (High-3, Medium-2, Low-1)
CO2 Apply vector calculus to static electric-magnetic fields in different engineering situations. PO1-3, PO2-2
CO5 Analyze Maxwell’s equation in different forms. PO2-2, PO5-3, PO9-1
CO4 Examine the phenomena of wave propagation in different media and its interfaces and in applications of microwave engineering. PO1-3, PO7-1

Course Outlines

Module-I

Maxwell Equations

Review of Maxwell’s equations. Displacement Current. Vector and Scalar Potentials. Gauge Transformations: Lorentz and Coulomb Gauge. Boundary Conditions at Interface between Different Media. Wave Equations. Plane Waves in Dielectric Media. Poynting Theorem and Poynting Vector. Electromagnetic (EM) Energy Density. Physical Concept of Electromagnetic Field Energy Density, Momentum Density and Angular Momentum Density.

Practice-1 To study the reflection, refraction of microwaves

Module-II

Electromagnetic Waves Propagation in Unbounded Media

Plane Electromagnetic waves through vacuum  and an isotropic dielectric medium, transverse nature of plane Electromagnetic waves, refractive index and dielectric constant, wave impedance. Propagation through conducting media, relaxation time, skin depth. Wave propagation through dilute plasma, electrical conductivity of ionized gases, plasma frequency, refractive index, skin depth, application to propagation through ionosphere.

Practice-2 To determine the refractive index of liquid by total internal reflection using Wollaston’s air-film

Module-III

Electromagnetic Waves in Bounded Media 

Boundary conditions at a plane interface between two media. Reflection & Refraction of plane waves at plane interface between two dielectric media-Laws of Reflection & Refraction. Fresnel's Formulae for perpendicular & parallel polarization cases, Brewster's law. Reflection & Transmission coefficients. Total internal reflection.

Practice-3 To determine the refractive Index of (1) glass and (2) a liquid by total internal reflection .

practice-4 To study the polarization of light by reflection and determine the polarizing angle for air-glass interface

Module-IV

Electromagnetic Waves in anisotropic media

Propagation of electromagnetic waves in anisotropic Media. Symmetric Nature of Dielectric Tensor. Fresnel’s Formula. Uniaxial and Biaxial Crystals. Light Propagation in Uniaxial Crystal.

Practice-5 To determine the wavelength and velocity of ultrasonic waves in a liquid (Kerosene Oil, Xylene, etc.) by studying the diffraction through ultrasonic grating.

Module-V

Polarization of Electromagnetic waves

 Description of Linear, Circular and Elliptical Polarization.Double Refraction. Polarization by Double Refraction. Nicol Prism. Ordinary & extraordinary refractive indices. Production & detection of Plane, Circularly and Elliptically Polarized Light. Phase Retardation Plates: Quarter-Wave and Half-Wave Plates.

practice-6 To verify the law of Malus for plane polarized light.

Practice-7 To analyze elliptically polarized Light by using a Babinet’s compensator.

Module-VI

Rotatory Polarization

 Optical Rotation. Biot’s Laws for Rotatory Polarization. Fresnel’s Theory of optical rotation. Calculation of angle of rotation. Experimental verification of Fresnel’s theory. Specific rotation. Laurent’s half-shade polarimeter.

Practice-8 To study Polarization and double slit interference in microwaves.

Practice-9 To determine the specific rotation of sugar solution using Polarimeter.
Module-VII

Optical Fibres

Numerical Aperture. Step and Graded Indices (Definitions Only).
Single and Multiple Mode Fibres (Concept and Definition Only).

Practice-10 To verify the Stefan`s law of radiation and to determine Stefan’s constant.

Practice-11 To determine the Boltzmann constant using V-I characteristics of PN junction diode.

Practice-12 To study dependence of radiation on angle for a simple Dipole antenna.

Text Books:

Introduction to Electrodynamics, D.J. Griffiths, 3rd Ed., 1998, Benjamin Cummings.

Reference Books:

1. Electrodynamics by Satya Prakash

2. A textbook of Optics ,BrijlalSubramanyam

3. Elements of Electromagnetics, M.N.O. Sadiku, 2001, Oxford University Press.

4. Introduction to Electromagnetic Theory, T.L. Chow, 2006, Jones & Bartlett Learning

5. Fundamentals of Electromagnetics, M.A.W. Miah, 1982, Tata McGraw Hill

6. Electromagnetic field Theory, R.S. Kshetrimayun, 2012, Cengage Learning

7. Engineering Electromagnetic, Willian H. Hayt, 8th Edition, 2012, McGraw Hill.

8. Electromagnetic Field Theory for Engineers & Physicists, G. Lehner, 2010, Springer

Session Plan

Session 5

Boundary Conditions at Interface between Different Media

https://youtu.be/Wphf74FS70M

https://www.slideshare.net/saiteja28941/2-slides-47689177

Session 8

Session 9

Assignment/Flipped Class-2

Momentum Density and Angular Momentum Density

https://youtu.be/f6cQWtyzBwQ

https://youtu.be/A5s2lylG5XY

https://www.slideshare.net/physicistshubhammaurya/physics-2961169

 

 

Session 10

Practice-1(2hrs)

To study of reflection and refraction of microwaves

https://youtu.be/iZ0RxKJuqa4

 

Session 11

Plane EM waves through vacuum, transverse nature of plane EM waves, refractive index and dielectric constant, wave impedance

https://youtu.be/C5NOAf9dnxA

https://youtu.be/XveQFylVdts

https://slideplayer.com/slide/8658875/

 

Session 12

Plane EM waves through  isotropic dielectric medium,transverse nature of plane EM waves, refractive index and dielectric constant, wave impedance

https://youtu.be/swNoKkY81MA

https://youtu.be/1gZuY_xxbQs

https://www.slideshare.net/niranjankumar47/electromagnetic-waves-65970456

Session 13

Assignment/Flipped Class-3

Propagation of electromagnetic waves through conducting media, relaxation time, skin depth

https://youtu.be/5qXdUGUyOso

https://youtu.be/kwkVCdE8DpA

https://www.slideshare.net/suganthithangaraj1/electro-magnetic-waves-57444723

Session 14

Wave propagation through dilute plasma, electrical conductivity of ionized gases, plasma frequency, refractive index, skin depth, application to propagation through ionosphere

https://youtu.be/DYlTIONUEQ8

https://youtu.be/1tK2-sfYj_M

https://www.kth.se/social/files/56b9ccbdf276540704032616/Lec7-ED2210-PlasmaWaves_final.pdf

 

 

 

Session 15

Practice-2(2hrs)

To determine the refractive index of liquid by total internal reflection using Wollaston’s air-film.

https://en.wikisource.org/wiki/Collected_Physical_Papers/A_Simple_and_Accurate_Method_of_Determination_of_Index_of_Refraction_for_Light

Session 16

Assignment/flipped class-4

Boundary conditions at a plane interface between two media

https://youtu.be/ylDqGlFmXb8

https://slideplayer.com/slide/4661886/

 

 

 

Session 17

Reflection & Refraction of plane waves at plane interface between two dielectric media-Laws of Reflection & Refraction

https://youtu.be/_GuLwk-k4KQ

https://www.slideshare.net/dineshraj007/plane-waves-reflection-refraction-and-polarization-by-dineshvraj

 

 

 

 

Session 18

Session 19

Assignment/Flipped Class-5

Fresnel's Formulae for parallel polarization cases

https://youtu.be/OgjZj60yt04

https://www.slideserve.com/gates/fresnels-equations-for-reflection-and-refraction-1318075

 

 

Session 20

Brewster's law. Reflection & Transmission coefficients. 

https://youtu.be/PqXRrKHU74s

https://www.slideshare.net/salmansmd/brewster-law

 

 

 

Session 22

Practice-3(2hrs)

To determine the refractive Index of (1) glass and (2) a liquid by total internal reflection

https://youtu.be/fvrvqm3Erzk

Session 23

Practice-4(2hrs)

To study the polarization of light by reflection and determine the polarizing angle for air-glass interface.

https://youtu.be/ZlvAfXaG97E

Session 24

Propagation of E.M. Waves in Anisotropic Media. Symmetric  Nature of Dielectric Tensor. Fresnel’s Formula

https://youtu.be/Hu4zjPIeDq8

https://user.eng.umd.edu/~davis/chapter18.pdf

https://www.slideshare.net/MidoOoz/propagation-of-electromagnetic-waves-in-weak-anisotropic-medum

 

 

Session 26

Practice-5(2hrs)

To determine the wavelength and velocity of ultrasonic waves in a liquid (Kerosene Oil, Xylene, etc.) by studying the diffraction through ultrasonic grating.

http://www.brainkart.com/article/Determination-of-Ultrasonic-Velocity-in-Liquid(Acoustical-Grating-Method)--Principle,-Construction-and-working_6874/

 

 

 

Session 27

Polarization of Electromagnetic Waves and

Description of Linear, Circular and Elliptical Polarization

https://youtu.be/8YkfEft4p-w

https://www.slideshare.net/muhammaduraza52/polarization-52197981

 

 

 

 

 

 

 

Session 31

Assignment/Flipped Class-8

Ordinary & extraordinary refractive indices

https://youtu.be/2rXvAAMxqF0

https://www.slideshare.net/SwethaChandran2/birefringence-13

 

 

 

 

 

Session 32

Session 35

Assignment/Flipped Class-9

Half-Wave Plates

https://youtu.be/L8QpjpJKqjM

https://www.slideshare.net/Priyamvada003/phase-retardation-plates

 

 

 

 

 

 

Session 37

Practice-6(2hrs)

To verify the law of Malus for plane polarized light.

http://www.iiserpune.ac.in/~bhasbapat/phy221_files/Malus%20Law%20Experiment.pdf

 

 

 

 

 

Session 38

Practice-7(2hrs)

 To measure the sample birefringence by using a Babinet’s compensator

https://www.holmarc.com/babinet_compensator.php#:~:text=Using%20Babinet%20compensator%2C%20ordinary%20and,the%20fringe%20pattern%20is%20produced.

 

 

 

 

 

Session 40

Assignment/Flipped Class-10

Biot’s  Laws for Rotatory Polarization

https://youtu.be/jzdYqLO9OY8

https://www.slideshare.net/prathameshkudalkar7/polarimetric-estimation-of-sugars

 

 

 

 

 

 

Session 41

Session 42

Assignment/Flipped Class-11

verification of Fresnel’s theory

https://youtu.be/VZ_DAtBheqY

https://www.slideshare.net/mdfiaz/optical-rotatory-dispersion-44837028

 

 

 

 

 

 

Session 46

 Practice-8(2hrs)

To study Polarization and double slit interference in microwaves.

https://youtu.be/P03lz9VM42U

 

 

 

 

 

Session 47

Practice-9(2hrs)

To determine the specific rotation of sugar solution using Polarimeter.

https://www.youtube.com/watch?v=McGd-0kaTxs

 

 

 

 

 

 

Session 51

Session 52

Practice-10(2hrs)

To verify the Stefan`s law of radiation and to determine Stefan’s constant.

https://youtu.be/1S9T0PgcNkU

 

 

 

 

 

Session 53

Practice-11(2hrs)

To determine the Boltzmann constant using V-I characteristics of PN junction diode.

https://youtu.be/4Vv2IEVvMC8

 

 

 

 

 

Session 54

Practice-12(2hrs)

To study dependence of radiation on angle for a simple Dipole antenna.

https://youtu.be/qp55L9FczVU

 

 

 

 

 

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