Terahertz (THz) physics — electromagnetic radiation in the frequency band 0.1-10 THz (wavelengths 30 µm - 3 mm, photon energies 0.4-40 meV), the 'terahertz gap' bridging microwave electronics (≲ 300 GHz) and mid-infrared photonics (≳ 30…
terahertz-physics
Photon energy: E = h·f
The Planck-Einstein relation E = h·f specifies the quantum energy of a single photon of frequency f, with h = 6.626·10⁻³⁴ J·s Planck's…
Drude plasma frequency: ω_p = √(n_e·e²/(ε₀·m_e))
The plasma frequency ω_p = √(n_e·e²/(ε₀·m_e)) — the natural collective oscillation frequency of a free-electron gas of density n_e — is the…
Cherenkov angle: cos(θ_C) = 1/(β·n)
The Cherenkov cone condition cos(θ_C) = 1/(β·n) specifies the angle (relative to particle velocity) at which coherent electromagnetic…
Photon-energy anchor: E(1 THz) / h = 10¹² Hz
Sympy-exact witness of the Planck-Einstein relation at 1 THz. Setup: E = h·f as a two-symbol product. Identity: dividing by h and setting…
Plasma-freq √-scaling: ω_p(4·n_e)/ω_p(n_e) = 2
Sympy-exact witness of the plasma-frequency density-quadrupling identity. Setup: ω_p = √(n_e·e²/(ε₀·m_e)) as a four-symbol function. …
Cherenkov anchor: cos(θ_C)(β·n=2) = 1/2; θ_C = π/3
Sympy-exact witness of the Cherenkov cone-angle canonical anchor. Setup: cos(θ_C) = 1/(β·n) — a two-symbol rational function. Identity:…