Electric Field In Medium Clarification

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SUMMARY

The discussion clarifies the relationship between electric displacement field (D), electric field (E), and polarization (P) in different media. In a vacuum, where P equals zero, the electric field E is greater than in insulating mediums. However, in metamaterials, where polarization can oppose the electric field direction, this relationship can change, particularly for oscillating electromagnetic fields at specific frequencies. The constant nature of ∇D across mediums is also highlighted.

PREREQUISITES
  • Understanding of Maxwell's equations
  • Familiarity with electric displacement field (D)
  • Knowledge of polarization (P) in materials
  • Concepts of metamaterials and their properties
NEXT STEPS
  • Study the implications of Maxwell's equations in different media
  • Research the behavior of electric fields in metamaterials
  • Explore the effects of polarization on electromagnetic wave propagation
  • Learn about the applications of oscillating electromagnetic fields in advanced materials
USEFUL FOR

Physicists, electrical engineers, and materials scientists interested in the behavior of electric fields in various media, particularly in the context of metamaterials and their unique properties.

Danen
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So I just wanted to clarify:

Because D = ε0E + P

P being zero in vacuum
and ∇D is constant regardless of medium

if D was originally in a vacuum, the corresponding E would be greater than if it were in an insulating medium. So,

E in vacuum > E in medium
 
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Not if you use materials where P is opposed to the direction of the electric field. That can happen in metamaterials for oscillating electromagnetic fields of specific frequencies.
 
Thanks for clearing that up mfb.
 

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