Surface Plasmon Resonance

Evanescent coupling and plasmon excitation at metal-dielectric interfaces (Kretschmann configuration)
0.95
Reflectance R
43.2°
SPR angle θ_sp

Kretschmann Configuration

A thin gold film (~50 nm) sits between a high-index prism and an analyte medium. At the plasmon resonance angle, light tunnels through the metal and excites a surface plasmon wave — dramatically reducing reflectance.

k_sp = (ω/c)√(ε_m·ε_d / (ε_m + ε_d))
θ_sp = arcsin(k_sp / k_prism)

The resonance angle shifts when the analyte index changes — the basis of SPR biosensors, which can detect sub-nanomolar binding events without labels.

Drag the angle slider to scan through resonance. Notice the sharp dip in reflectance at θ_sp.