Metamaterial Dispersion Analysis

Dispersion Parameters

Plasma Frequency ωp (THz) 2.0

Magnetic Resonance ω0 (THz) 1.2

Electric Damping γe (THz) 0.10

Magnetic Damping γm (THz) 0.06

Oscillator Strength F 0.90

Lattice Period (nm) 300

Negative Index Start (THz)

Negative Index End (THz)

Bandwidth (THz)

Minimum Index

Figure of Merit

Group Velocity (c)

Dispersion Theory

The dispersion relation describes how electromagnetic waves propagate through the metamaterial as a function of frequency.

Lorentz-Drude Model:

ε(ω) = 1 - ωp²/(ω² + iγeω) (Drude for metals)
μ(ω) = 1 + Fω²/(ω0² - ω² - iγmω) (Lorentz for magnetic resonance)
n(ω) = √(ε(ω)μ(ω)) (Refractive index)
k(ω) = nω/c (Wave vector)

Key Features:

Negative Index Band: Region where Re(n) < 0
Backward Waves: Phase velocity opposite to group velocity
Figure of Merit: FOM = |Re(n)|/Im(n)
Bandwidth: Frequency range with negative index

Metamaterial Dispersion Analysis & Band Structure

Dispersion Parameters

Dispersion Relation & Band Structure

Effective Medium Parameters

Complex Refractive Index

Transmission & Reflection Spectra

Group and Phase Velocity

Dispersion Theory

Lorentz-Drude Model:

Key Features: