Electromagnetic Wave in a Medium Calculator (Maxwell)

Phase velocity, wavelength, intrinsic impedance, attenuation and skin depth of a plane wave in a dielectric or conducting medium.

Results

Loss tangent σ/(ωε)—
Medium—
Phase velocity—
Wavelength—
|Intrinsic impedance|—
Attenuation α—
Phase constant β—
Attenuation—
Skin depth δ = 1/α—

How to use the Electromagnetic Wave in a Medium Calculator

  1. Enter or select: Frequency f, Relative permittivity εr, Relative permeability μr, Conductivity σ.
  2. The results (Loss tangent σ/(ωε), Medium, Phase velocity, Wavelength, |Intrinsic impedance|, Attenuation α, Phase constant β, Attenuation, Skin depth δ = 1/α) are calculated instantly as you type.
  3. Use “Copy link” to share the calculation with the same input values.

Formula

  • ∇×E = −∂B/∂t, ∇×H = J + ∂D/∂t
  • γ = α + jβ = jω√(με)·√(1 − jσ/ωε)
  • |η| = √(μ/ε) / (1 + (σ/ωε)²)^¼
  • δ = 1/α (≈ 1/√(πfμσ) in a good conductor)
ExpressionApply operationsCalculated result