Electromagnetic Wave Propagation Through Metamaterials

Simulation Parameters

1.00
-1.5
200
0.10
5

Real-Time Wave Propagation

Physics Model

This simulation demonstrates electromagnetic wave propagation through a metamaterial slab with adjustable refractive index, including negative values.

E(x,t) = E₀ exp(i(kx - ωt))
k = nω/c (n can be negative)
For n < 0: Phase velocity opposite to group velocity (backward wave)

Electric Field Distribution

Magnetic Field Distribution

Scattering Parameters

Phase Response

Retrieved Effective Parameters

NRW Retrieval Method

Extracting effective permittivity (ε) and permeability (μ) from S-parameters using the Nicolson-Ross-Weir method with branch selection.

Z = √[(1+S₁₁)²-S₂₁²]/[(1-S₁₁)²-S₂₁²]
n = (1/k₀d) arccos[(1-S₁₁²+S₂₁²)/(2S₂₁)]
ε = n/Z, μ = nZ