electromagnetic wave propagation 4th 2
TRANSCRIPT
JETGI 1
Mr. HIMANSHU DIWKARAssistant Professor
GETGI
Electromagnetic wave propagation
HIMANSHU DIWAKAR
JETGI 2
Outline• Maxwell’s Equation Review• Helmholtz Equation• Propagation constant• Properties of Electromagnetic Waves• Plane Wave• Uniform Plane Wave• Uniform Time-harmonic plane wave• Wave characteristic• In Lossy Media• In Lossless Media
• Wave Propagation in Free Space• Pointing Theorem and Pointing Vector
HIMANSHU DIWAKAR
JETGI 3
This lecture on Electromagnetic Waves and subsequent lectures demands that you must have rigorous review of Electrostatic, Magneto-statics and Vector identities.
Therefore, sit in class after reviewing the aforementioned material to really understand Electromagnetic waves as fun!!
HIMANSHU DIWAKAR
JETGI 4HIMANSHU DIWAKAR
JETGI 5HIMANSHU DIWAKAR
JETGI 6HIMANSHU DIWAKAR
Region 1Sources J,
Region 2Source free region
JETGI 7HIMANSHU DIWAKAR
JETGI 8HIMANSHU DIWAKAR
JETGI 9HIMANSHU DIWAKAR
JETGI 10HIMANSHU DIWAKAR
JETGI 11HIMANSHU DIWAKAR
JETGI 12HIMANSHU DIWAKAR
JETGI 13HIMANSHU DIWAKAR
JETGI 14HIMANSHU DIWAKAR
JETGI 15HIMANSHU DIWAKAR
JETGI 16HIMANSHU DIWAKAR
JETGI 17HIMANSHU DIWAKAR
JETGI 18HIMANSHU DIWAKAR
JETGI 19HIMANSHU DIWAKAR
JETGI 20HIMANSHU DIWAKAR
JETGI 21HIMANSHU DIWAKAR
JETGI 22HIMANSHU DIWAKAR
JETGI 23HIMANSHU DIWAKAR
JETGI 24HIMANSHU DIWAKAR
JETGI 25HIMANSHU DIWAKAR
JETGI 26HIMANSHU DIWAKAR
JETGI 27HIMANSHU DIWAKAR
JETGI 28HIMANSHU DIWAKAR
JETGI 29HIMANSHU DIWAKAR
JETGI 30HIMANSHU DIWAKAR
JETGI 31
Pointing theoremIn electrodynamics, Poynting's theorem is a statement of conservation of energy for
the electromagnetic field, in the form of a partial differential equation, due to the British physicist
John Henry Poynting.
The theorem states– the time rate of change of electromagnetic energy within V plus the net energy
flowing out of V through S per unit time is equal to the negative of the total work done on the charges
within V.
A second statement can also explain "The decrease in the electromagnetic energy per unit time in a
certain volume is equal to the sum of work done by the field forces and the net outward flux per unit
time".
HIMANSHU DIWAKAR
JETGI 32
• Consider first a single particle of charge q traveling with a velocity vector v. Let E and B be electric and magnetic fields external to the particle; i.e., E and B do not include the electric and magnetic fields generated by the moving charged particle. The force on the particle is given by the Lorentz formula
F = q(E + v×B)
HIMANSHU DIWAKAR
JETGI 33
• The work done by the electric field on that particle is equal to qv·E. The work done by the magnetic field on the particle is zero because the force due to the magnetic field is perpendicular to the velocity vector v.• For a vector field of current density J the work done on the charges
within a volume V is∫VJ·EdV
• It is convenient to define a vector P, known as the Poynting vector for the electrical and magnetic fields, such that
P = (c/4π)(E×H)
HIMANSHU DIWAKAR
JETGI 34
Thank you
HIMANSHU DIWAKAR