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Assumed Quote by Karl Ferdinand Braun

“Elementary considerations led me to the conclusion that a medium, composed of layers of different dielectric constants, must behave as a uniaxial crystal if it is assumed that the layer thicknesses are only a fraction of a wave-length.” quote by Karl Ferdinand Braun
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“Elementary considerations led me to the conclusion that a medium, composed of layers of different dielectric constants, must behave as a uniaxial crystal if it is assumed that the layer thicknesses are only a fraction of a wave-length.”

Karl Ferdinand Braun

About This Quote

Source Scientific paper: Electromagnetic Theory, early 20th century

Layered dielectrics with sub‑wavelength thickness act like a uniaxial crystal, simplifying analysis of wave propagation.

In simple terms: Thin layered material behaves as a single crystal.

Key Takeaway

Use effective medium approximation for design.

Themes

physics optics materials science

Mood

analytical technical

Type

scientific technical

When to use this quote

  • antenna design
  • optical coatings
  • microwave engineering

Key Concepts

anisotropy effective medium theory

Questions to Reflect On

  • How does layer thickness affect anisotropy?
  • When is the approximation invalid?
A Different Perspective

Assumes uniform layers and ignores higher‑order scattering.

4.6 out of 5 (5 ratings)

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