Engineering Physics: Unit II: Electromagnetic Waves

Propagation of Electromagnetic wave through a Dielectric medium (non - conducting isotropic medium)

Equation of propagation of magnetic vector, H, Equation of propagation of electric vector, E

PROPAGATION OF ELECTROMAGNETIC WAVE THROUGH A DIELECTRIC MEDIUM 

(Non - Conducting Isotropic Medium)

Maxwell's equations are

In an isotropic dielectric (or non-conducting isotropic medium)


Therefore, Maxwell's equations in this case take the form


Equation of propagation of magnetic vector, H

Taking curl of eqn. (4), we get


Putting values from eqns.(2) and (3), we get


Equation of propagation of electric vector, E

Taking of eqn. (3), we get


Putting values from eqns (1) and (4), we get


The eqns (6) and (7) is compared with the general wave equation,


where v is the speed of wave.

This means that the field vectors are propagated isotropic dielectric as waves with speed v given by


Now, = c, speed of electromagnetic waves in free space.

Refractive index is


In a non-magnetic medium μr = 1 



Engineering Physics: Unit II: Electromagnetic Waves : Tag: : - Propagation of Electromagnetic wave through a Dielectric medium (non - conducting isotropic medium)