Maxwell's Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

Physics for IIT JAM, UGC - NET, CSIR NET

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Physics : Maxwell's Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

The document Maxwell's Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev is a part of the Physics Course Physics for IIT JAM, UGC - NET, CSIR NET.
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Maxwell’s equations are modified for polarized and magnetized materials.
For linear materials the polarization P and magnetization M is given by

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

And the D and B fields are related to E and H by

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev


Maxwell’s Equations Inside Matter (Cont’d)

• For polarized materials we have bound charges in addition to free charges

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

  • For magnetized materials we have bound currents

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

• In electrodynamics any change in the electric polarization involves a flow of bound charges resulting in polarization current Js

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev Polarization current density is due to linear motion of charge when the Electric polarization changes

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

  •  Maxwell’s equations inside matter are written as

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

 

  • In non-dispersive, isotropic media  and µ are timeindependent scalars, and Maxwell’s equations reduces to

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

 

  • In uniform (homogeneous) medium ε and µ are independent of position, hence Maxwell’s equations reads as

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

Maxwell`s Equations in Linear Isotropic Media - Electromagnetic Theory, CSIR-NET Physical Sciences Physics Notes | EduRev

Generally, ε and µ can be rank-2 tensor (3X3 matrices) describing birefringent anisotropic materials.

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