Applied Physics I: Chapter 6: Oscillations and Waves - Electromagnetic Waves
Propagation of Plane electromagnetic waves in free space and its wave equation
If the field vector of electromagnetic wave is constant over any plane that is perpendicular to the directon of wave propagation at any instant of time, then this wave is called plane electromagnetic wave.
PROPAGATION OF PLANE
ELECTROMAGNETIC WAVES IN FREE SPACE AND ITS WAVE EQUATION
Plane electromagnetic wave
If
the field vector of electromagnetic wave is constant over any plane that is
perpendicular to the directon of wave propagation at any instant of time, then
this wave is called plane electromagnetic wave.
Let
us consider a plane electromagnetic wave which propagates in vacuum. Let the
permeability (μ0) and the permittivity (ε0) in free space
(or) vacuum are constant and conductivity is zero.
If
the medium is assumed to be a charge free medium, then we can write the charge
density ρ = 0.
∴ The Maxwell's equations
for free space (or) vacuum shall be written as
The wave equation in terms of electric field in free space
Taking
curl on both sides of equation (3), we get
Equation
(9) represents the wave equation in terms of electric field in vaccum (or) free space.
The wave equation in terms of magnetic field in free space
Taking
curl on both sides of equation (4), we get
Equation
(14) represents the wave equation in terms of the field in free space (or) vacuum.
Applied Physics I: Chapter 6: Oscillations and Waves - Electromagnetic Waves : Tag: Applied Physics : - Propagation of Plane electromagnetic waves in free space and its wave equation
Applied Physics I: Chapter 6: Oscillations and Waves - Electromagnetic Waves
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