GT: |r|²=1; arg r = −2·atan(((1+r₁)/(1−r₁))·tan(φ/2)); dispersive Möbius-rational ∂_φ arg

Layer 1 — Physicsin the ultrafast-physics subtree

Sympy-exact symbolic witness of the Gires-Tournois Möbius-transformation reflectance and its dispersive phase structure. Setup: r₁ ∈ (0,1) (sp-symbol positive-real), φ ∈ R (sp-symbol real). Reflectance magnitude squared: |r(φ)|² =…

Related concepts

Gires–Tournois: r(ω) = (r₁ − e^{−iφ})/(1 − r₁ e^{−iφ}); |r| = 1, Möbius-phase nonlinear

Explore GT: |r|²=1; arg r = −2·atan(((1+r₁)/(1−r₁))·tan(φ/2)); dispersive Möbius-rational ∂_φ arg on the interactive knowledge graph →