Free Thin-Film Optics Simulator for Multilayer Coatings Calculate reflectance, absorptance, color, fields, and sweeps using the transfer matrix method.
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Surface Plasmon Resonance Angle Calculator

Setup

Kretschmann Surface Plasmon Resonance Stack

A thin Au film on a high-index BK7 prism couples p-polarized light into a surface plasmon at the Au/analyte interface, producing a sharp angular reflectance dip near 0.633 μm.

Why This Design Works

In the Kretschmann geometry, p-polarized light through a prism creates an evanescent field across a thin metal film. When the prism-side in-plane wavevector matches the surface-plasmon wavevector at the metal/analyte boundary, energy couples into the plasmon mode and p-reflectance drops. Changing analyte index shifts that matching angle, which is the sensing signal.

\[n_{\mathrm{prism}}\sin\theta_{\mathrm{res}} = \mathrm{Re}\sqrt{\frac{\varepsilon_m\, \varepsilon_d}{\varepsilon_m + \varepsilon_d}}\]

The left side is the parallel photon wavevector normalized by \(k_0\); the right side is the Au/analyte plasmon wavevector. With BK7, Au at 0.633 μm, and water-like analyte \(n_d = 1.33\), this estimate places the p-polarized resonance in the low-70-degree range; the finite Au film and loss set the exact dip depth.

Design Sweeps
Selected minimum angle -
Reflectance at dip -
Stack
BK7 prism
Au film
Analyte
Layer Material n k Thickness (µm) Coherence
Incident
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1
Substrate
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Results
Angle Sweep
0.633 μm
Electric Field Profile
selected minimum